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21122112111102 = 2321724060382951
BaseRepresentation
bin1001100110101110111111…
…11111010100000111111110
32202210020212022100220101100
410303113133333110013332
510232031041200023402
6112531210410553530
74310010425421432
oct463273777240776
982706768326340
1021122112111102
1168039236a8412
1224517347388a6
13ba2a64205202
1453045c32a9c2
1526967bc0d71c
hex1335dffd41fe

21122112111102 has 36 divisors (see below), whose sum is σ = 48614965084296. Its totient is φ = 6626544974400.

The previous prime is 21122112111097. The next prime is 21122112111103. The reversal of 21122112111102 is 20111121122112.

It is a happy number.

21122112111102 is a `hidden beast` number, since 211 + 221 + 121 + 1 + 110 + 2 = 666.

It is a super-2 number, since 2×211221121111022 (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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21122112111103) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 2030186274 + ... + 2030196677.

It is an arithmetic number, because the mean of its divisors is an integer number (1350415696786).

Almost surely, 221122112111102 is an apocalyptic number.

21122112111102 is an abundant number, since it is smaller than the sum of its proper divisors (27492852973194).

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

21122112111102 is a wasteful number, since it uses less digits than its factorization.

21122112111102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4060382993 (or 4060382973 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 21122112111102 its reverse (20111121122112), we get a palindrome (41233233233214).

The spelling of 21122112111102 in words is "twenty-one trillion, one hundred twenty-two billion, one hundred twelve million, one hundred eleven thousand, one hundred two".

Divisors: 1 2 3 6 9 17 18 34 51 102 153 289 306 578 867 1734 2601 5202 4060382951 8120765902 12181148853 24362297706 36543446559 69026510167 73086893118 138053020334 207079530501 414159061002 621238591503 1173450672839 1242477183006 2346901345678 3520352018517 7040704037034 10561056055551 21122112111102