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13123210020985 = 5531012213322153
BaseRepresentation
bin1011111011110111110001…
…0001011000100001111001
31201110120022001220002202001
42332331330101120201321
53210002313231132420
643524415222541001
72523056243451511
oct276757421304171
951416261802661
1013123210020985
1141aa581a32119
12157b448597761
13742689c0c58c
14335249804841
1517b571369b0a
hexbef7c458879

13123210020985 has 32 divisors (see below), whose sum is σ = 16205306106528. Its totient is φ = 10197575731200.

The previous prime is 13123210020971. The next prime is 13123210021001. The reversal of 13123210020985 is 58902001232131.

It is a happy number.

It can be written as a sum of positive squares in 16 ways, for example, as 1440103201849 + 11683106819136 = 1200043^2 + 3418056^2 .

It is not a de Polignac number, because 13123210020985 - 27 = 13123210020857 is a prime.

It is a super-2 number, since 2×131232100209852 (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 592378669 + ... + 592400821.

It is an arithmetic number, because the mean of its divisors is an integer number (506415815829).

Almost surely, 213123210020985 is an apocalyptic number.

It is an amenable number.

13123210020985 is a deficient number, since it is larger than the sum of its proper divisors (3082096085543).

13123210020985 is a wasteful number, since it uses less digits than its factorization.

13123210020985 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44445.

The product of its (nonzero) digits is 25920, while the sum is 37.

The spelling of 13123210020985 in words is "thirteen trillion, one hundred twenty-three billion, two hundred ten million, twenty thousand, nine hundred eighty-five".

Divisors: 1 5 53 101 265 505 5353 22133 22153 26765 110665 110765 1173049 1174109 2235433 2237453 5865245 5870545 11177165 11187265 118477949 118585009 490312349 592389745 592925045 2451561745 25986554497 49521547249 129932772485 247607736245 2624642004197 13123210020985