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21122112110202 = 2332392496765551
BaseRepresentation
bin1001100110101110111111…
…11111010011111001111010
32202210020212022100212011000
410303113133333103321322
510232031041200011302
6112531210410545430
74310010425416005
oct463273777237172
982706768325130
1021122112110202
1168039236a7774
122451734738276
13ba2a6420498c
1453045c32a53c
1526967bc0d31c
hex1335dffd3e7a

21122112110202 has 64 divisors (see below), whose sum is σ = 47137027276800. Its totient is φ = 7010857249200.

The previous prime is 21122112110111. The next prime is 21122112110213. The reversal of 21122112110202 is 20201121122112.

21122112110202 is a `hidden beast` number, since 211 + 221 + 1 + 21 + 10 + 202 = 666.

It is a super-2 number, since 2×211221121102022 (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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 322191327 + ... + 322256877.

It is an arithmetic number, because the mean of its divisors is an integer number (736516051200).

Almost surely, 221122112110202 is an apocalyptic number.

21122112110202 is an abundant number, since it is smaller than the sum of its proper divisors (26014915166598).

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

21122112110202 is a wasteful number, since it uses less digits than its factorization.

21122112110202 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90768 (or 90762 counting only the distinct ones).

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

Adding to 21122112110202 its reverse (20201121122112), we get a palindrome (41323233232314).

The spelling of 21122112110202 in words is "twenty-one trillion, one hundred twenty-two billion, one hundred twelve million, one hundred ten thousand, two hundred two".

Divisors: 1 2 3 6 9 18 27 54 239 478 717 1434 2151 4302 6453 12906 24967 49934 65551 74901 131102 149802 196653 224703 393306 449406 589959 674109 1179918 1348218 1769877 3539754 5967113 11934226 15666689 17901339 31333378 35802678 47000067 53704017 94000134 107408034 141000201 161112051 282000402 322224102 423000603 846001206 1636611817 3273223634 4909835451 9819670902 14729506353 29459012706 44188519059 88377038118 391150224263 782300448526 1173450672789 2346901345578 3520352018367 7040704036734 10561056055101 21122112110202