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21122002220031 = 3229386320949317
BaseRepresentation
bin1001100110101110110010…
…11100000111001111111111
32202210020120122120212011200
410303113121130013033333
510232030330032020111
6112531151443350543
74310004622362336
oct463273134071777
982706518525150
1021122002220031
116803877670649
122451703982453
13ba2a4750a5cb
1453044b8c2d1d
15269672253256
hex1335d97073ff

21122002220031 has 24 divisors (see below), whose sum is σ = 31569784253280. Its totient is φ = 13592251409856.

The previous prime is 21122002220023. The next prime is 21122002220051. The reversal of 21122002220031 is 13002220022112.

21122002220031 is a `hidden beast` number, since 211 + 2 + 200 + 2 + 220 + 0 + 31 = 666.

It is not a de Polignac number, because 21122002220031 - 23 = 21122002220023 is a prime.

It is a super-2 number, since 2×211220022200312 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 21122002219986 and 21122002220013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21122002220021) 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, 9466416 + ... + 11482901.

It is an arithmetic number, because the mean of its divisors is an integer number (1315407677220).

Almost surely, 221122002220031 is an apocalyptic number.

21122002220031 is a deficient number, since it is larger than the sum of its proper divisors (10447782033249).

21122002220031 is a wasteful number, since it uses less digits than its factorization.

21122002220031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20953215 (or 20953212 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 21122002220031 its reverse (13002220022112), we get a palindrome (34124222242143).

The spelling of 21122002220031 in words is "twenty-one trillion, one hundred twenty-two billion, two million, two hundred twenty thousand, thirty-one".

Divisors: 1 3 9 29 87 261 3863 11589 34767 112027 336081 1008243 20949317 62847951 188543853 607530193 1822590579 5467771737 80927211571 242781634713 728344904139 2346889135559 7040667406677 21122002220031