Search a number
-
+
21212102210220 = 22325313801452009
BaseRepresentation
bin1001101001010110100111…
…10100010011001010101100
32210002212010212121121001100
410310223103310103022230
510240014341131211340
6113040412155043100
74316344444560435
oct464532364231254
983085125547040
1021212102210220
116839002776859
12246706a140490
13bab3a5c6ba7c
14534957bac48c
1526bb97281830
hex134ad3d132ac

21212102210220 has 72 divisors (see below), whose sum is σ = 66418969518720. Its totient is φ = 5474090891520.

The previous prime is 21212102210213. The next prime is 21212102210227. The reversal of 21212102210220 is 2201220121212.

It is a happy number.

21212102210220 is a `hidden beast` number, since 2 + 1 + 21 + 210 + 2 + 210 + 220 = 666.

It is an interprime number because it is at equal distance from previous prime (21212102210213) and next prime (21212102210227).

It is a super-3 number, since 3×212121022102203 (a number of 41 digits) contains 333 as substring.

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 = 21212102210193 and 21212102210202.

It is not an unprimeable number, because it can be changed into a prime (21212102210227) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1900720425 + ... + 1900731584.

It is an arithmetic number, because the mean of its divisors is an integer number (922485687760).

Almost surely, 221212102210220 is an apocalyptic number.

21212102210220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21212102210220 is an abundant number, since it is smaller than the sum of its proper divisors (45206867308500).

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

21212102210220 is a wasteful number, since it uses less digits than its factorization.

21212102210220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3801452055 (or 3801452050 counting only the distinct ones).

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

Adding to 21212102210220 its reverse (2201220121212), we get a palindrome (23413322331432).

The spelling of 21212102210220 in words is "twenty-one trillion, two hundred twelve billion, one hundred two million, two hundred ten thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 31 36 45 60 62 90 93 124 155 180 186 279 310 372 465 558 620 930 1116 1395 1860 2790 5580 3801452009 7602904018 11404356027 15205808036 19007260045 22808712054 34213068081 38014520090 45617424108 57021780135 68426136162 76029040180 114043560270 117845012279 136852272324 171065340405 228087120540 235690024558 342130680810 353535036837 471380049116 589225061395 684261361620 707070073674 1060605110511 1178450122790 1414140147348 1767675184185 2121210221022 2356900245580 3535350368370 4242420442044 5303025552555 7070700736740 10606051105110 21212102210220