Search a number
-
+
20211222212010 = 23351012333180911
BaseRepresentation
bin1001001100001110010101…
…01110000110110110101010
32122120011200211022121222000
410212013022232012312222
510122120040341241020
6110552523551111430
74154132633140104
oct446071256066652
978504624277860
1020211222212010
116492593040215
1223250a1512576
13b37baa590a3b
144dc32a934574
15250b18640090
hex1261cab86daa

20211222212010 has 128 divisors (see below), whose sum is σ = 54663845483520. Its totient is φ = 5313392064000.

The previous prime is 20211222212009. The next prime is 20211222212057. The reversal of 20211222212010 is 1021222211202.

It is a happy number.

20211222212010 is a `hidden beast` number, since 20 + 211 + 222 + 212 + 0 + 1 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4763455 + ... + 7944365.

It is an arithmetic number, because the mean of its divisors is an integer number (427061292840).

Almost surely, 220211222212010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20211222212010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27331922741760).

20211222212010 is an abundant number, since it is smaller than the sum of its proper divisors (34452623271510).

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

20211222212010 is a wasteful number, since it uses less digits than its factorization.

20211222212010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3181261 (or 3181255 counting only the distinct ones).

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

Adding to 20211222212010 its reverse (1021222211202), we get a palindrome (21232444423212).

The spelling of 20211222212010 in words is "twenty trillion, two hundred eleven billion, two hundred twenty-two million, two hundred twelve thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 101 135 202 233 270 303 466 505 606 699 909 1010 1165 1398 1515 1818 2097 2330 2727 3030 3495 4194 4545 5454 6291 6990 9090 10485 12582 13635 20970 23533 27270 31455 47066 62910 70599 117665 141198 211797 235330 352995 423594 635391 705990 1058985 1270782 2117970 3176955 3180911 6353910 6361822 9542733 15904555 19085466 28628199 31809110 47713665 57256398 85884597 95427330 143140995 171769194 286281990 321272011 429422985 642544022 741152263 858845970 963816033 1482304526 1606360055 1927632066 2223456789 2891448099 3212720110 3705761315 4446913578 4819080165 5782896198 6670370367 7411522630 8674344297 9638160330 11117283945 13340740734 14457240495 17348688594 20011111101 22234567890 28914480990 33351851835 40022222202 43371721485 66703703670 74856378563 86743442970 100055555505 149712757126 200111111010 224569135689 374281892815 449138271378 673707407067 748563785630 1122845678445 1347414814134 2021122221201 2245691356890 3368537035335 4042244442402 6737074070670 10105611106005 20211222212010