Search a number
-
+
21021100012212 = 22317787371308719
BaseRepresentation
bin1001100011110010110110…
…01100101111001010110100
32202102121010121021121110120
410301321123030233022310
510223402203100342322
6112412543211051540
74266503311641336
oct461713314571264
982377117247416
1021021100012212
116774aa8a35453
122436043a40bb0
13b96386b105b1
145295d8acd456
15266c18c02a5c
hex131e5b32f2b4

21021100012212 has 48 divisors (see below), whose sum is σ = 51935181661440. Its totient is φ = 6594766108672.

The previous prime is 21021100012201. The next prime is 21021100012219. The reversal of 21021100012212 is 21221000112012.

It is a junction number, because it is equal to n+sod(n) for n = 21021100012191 and 21021100012200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21021100012219) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15407989 + ... + 16716707.

It is an arithmetic number, because the mean of its divisors is an integer number (1081982951280).

Almost surely, 221021100012212 is an apocalyptic number.

It is an amenable number.

21021100012212 is an abundant number, since it is smaller than the sum of its proper divisors (30914081649228).

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

21021100012212 is a wasteful number, since it uses less digits than its factorization.

21021100012212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1387480 (or 1387478 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 21021100012212 its reverse (21221000112012), we get a palindrome (42242100124224).

The spelling of 21021100012212 in words is "twenty-one trillion, twenty-one billion, one hundred million, twelve thousand, two hundred twelve".

Divisors: 1 2 3 4 6 12 17 34 51 68 102 204 78737 157474 236211 314948 472422 944844 1308719 1338529 2617438 2677058 3926157 4015587 5234876 5354116 7852314 8031174 15704628 16062348 22248223 44496446 66744669 88992892 133489338 266978676 103044607903 206089215806 309133823709 412178431612 618267647418 1236535294836 1751758334351 3503516668702 5255275003053 7007033337404 10510550006106 21021100012212