Search a number
-
+
21210112202220 = 223251514159187631
BaseRepresentation
bin1001101001010010111010…
…01101000001010111101100
32210002200000012001201021100
410310221131031001113230
510240001302210432340
6113035442510203100
74316244232023024
oct464513515012754
983080005051240
1021210112202220
116838181434347
1224667b37b3490
13bab1498b2746
14534809794a84
1526bacc6e4830
hex134a5d3415ec

21210112202220 has 144 divisors (see below), whose sum is σ = 64779332567040. Its totient is φ = 5617191888000.

The previous prime is 21210112202219. The next prime is 21210112202221. The reversal of 21210112202220 is 2220221101212.

It is a happy number.

21210112202220 is a `hidden beast` number, since 2 + 1 + 210 + 11 + 220 + 2 + 220 = 666.

It is an interprime number because it is at equal distance from previous prime (21210112202219) and next prime (21210112202221).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 21210112202193 and 21210112202202.

It is not an unprimeable number, because it can be changed into a prime (21210112202221) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 112947805 + ... + 113135435.

It is an arithmetic number, because the mean of its divisors is an integer number (449856476160).

Almost surely, 221210112202220 is an apocalyptic number.

21210112202220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21210112202220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32389666283520).

21210112202220 is an abundant number, since it is smaller than the sum of its proper divisors (43569220364820).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

21210112202220 is a wasteful number, since it uses less digits than its factorization.

21210112202220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191956 (or 191951 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 21210112202220 its reverse (2220221101212), we get a palindrome (23430333303432).

The spelling of 21210112202220 in words is "twenty-one trillion, two hundred ten billion, one hundred twelve million, two hundred two thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 151 180 302 453 604 755 906 1359 1510 1812 2265 2718 3020 4159 4530 5436 6795 8318 9060 12477 13590 16636 20795 24954 27180 37431 41590 49908 62385 74862 83180 124770 149724 187155 187631 249540 374310 375262 562893 628009 748620 750524 938155 1125786 1256018 1688679 1876310 1884027 2251572 2512036 2814465 3140045 3377358 3752620 3768054 5628930 5652081 6280090 6754716 7536108 8443395 9420135 11257860 11304162 12560180 16886790 18840270 22608324 28260405 28332281 33773580 37680540 56520810 56664562 84996843 113041620 113329124 141661405 169993686 254990529 283322810 339987372 424984215 509981058 566645620 780357329 849968430 1019962116 1274952645 1560714658 1699936860 2341071987 2549905290 3121429316 3901786645 4682143974 5099810580 7023215961 7803573290 9364287948 11705359935 14046431922 15607146580 23410719870 28092863844 35116079805 46821439740 70232159610 117833956679 140464319220 235667913358 353501870037 471335826716 589169783395 707003740074 1060505610111 1178339566790 1414007480148 1767509350185 2121011220222 2356679133580 3535018700370 4242022440444 5302528050555 7070037400740 10605056101110 21210112202220