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21122111002212 = 223211192807298113
BaseRepresentation
bin1001100110101110111111…
…11011000101011001100100
32202210020212020021120021100
410303113133323011121210
510232031040404032322
6112531210331120100
74310010413122503
oct463273773053144
982706766246240
1021122111002212
116803923010280
1224517342a3030
13ba2a63c0756c
1453045c11c83a
1526967ba8edac
hex1335dfec5664

21122111002212 has 72 divisors (see below), whose sum is σ = 61311390809760. Its totient is φ = 6063763921920.

The previous prime is 21122111002189. The next prime is 21122111002217. The reversal of 21122111002212 is 21220011122112.

21122111002212 is a `hidden beast` number, since 211 + 221 + 1 + 10 + 0 + 221 + 2 = 666.

It is a super-2 number, since 2×211221110022122 (a number of 27 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (21122111002217) 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, 1403641533 + ... + 1403656580.

It is an arithmetic number, because the mean of its divisors is an integer number (851547094580).

Almost surely, 221122111002212 is an apocalyptic number.

21122111002212 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

21122111002212 is an abundant number, since it is smaller than the sum of its proper divisors (40189279807548).

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

21122111002212 is a wasteful number, since it uses less digits than its factorization.

21122111002212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2807298153 (or 2807298148 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 21122111002212 its reverse (21220011122112), we get a palindrome (42342122124324).

The spelling of 21122111002212 in words is "twenty-one trillion, one hundred twenty-two billion, one hundred eleven million, two thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 11 12 18 19 22 33 36 38 44 57 66 76 99 114 132 171 198 209 228 342 396 418 627 684 836 1254 1881 2508 3762 7524 2807298113 5614596226 8421894339 11229192452 16843788678 25265683017 30880279243 33687577356 50531366034 53338664147 61760558486 92640837729 101062732068 106677328294 123521116972 160015992441 185281675458 213354656588 277922513187 320031984882 370563350916 480047977323 555845026374 586725305617 640063969764 960095954646 1111690052748 1173450611234 1760175916851 1920191909292 2346901222468 3520351833702 5280527750553 7040703667404 10561055501106 21122111002212