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20313210110112 = 2532397177662417
BaseRepresentation
bin1001001111001100010011…
…01011000100000010100000
32122220220221112112122202100
410213212021223010002200
510130302423242010422
6111111432045450400
74164403166024643
oct447461153040240
978826845478670
1020313210110112
1165218695a7607
122340a04b70a00
13b446b1b9b33a
145032439bda5a
152535d714b7ac
hex127989ac40a0

20313210110112 has 72 divisors (see below), whose sum is σ = 57911197096116. Its totient is φ = 6754014406656.

The previous prime is 20313210109991. The next prime is 20313210110147. The reversal of 20313210110112 is 21101101231302.

20313210110112 is a `hidden beast` number, since 20 + 313 + 210 + 1 + 10 + 112 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 20296142255376 + 17067854736 = 4505124^2 + 130644^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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 (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 88716873 + ... + 88945544.

Almost surely, 220313210110112 is an apocalyptic number.

It is an amenable number.

20313210110112 is an abundant number, since it is smaller than the sum of its proper divisors (37597986986004).

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

20313210110112 is a wasteful number, since it uses less digits than its factorization.

20313210110112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177662830 (or 177662819 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 20313210110112 its reverse (21101101231302), we get a palindrome (41414311341414).

The spelling of 20313210110112 in words is "twenty trillion, three hundred thirteen billion, two hundred ten million, one hundred ten thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 397 794 1191 1588 2382 3176 3573 4764 6352 7146 9528 12704 14292 19056 28584 38112 57168 114336 177662417 355324834 532987251 710649668 1065974502 1421299336 1598961753 2131949004 2842598672 3197923506 4263898008 5685197344 6395847012 8527796016 12791694024 17055592032 25583388048 51166776096 70531979549 141063959098 211595938647 282127918196 423191877294 564255836392 634787815941 846383754588 1128511672784 1269575631882 1692767509176 2257023345568 2539151263764 3385535018352 5078302527528 6771070036704 10156605055056 20313210110112