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13023103212324 = 223461658930541
BaseRepresentation
bin1011110110000010110101…
…1100001101101100100100
31201002222220110021022120000
42331200231130031230210
53201332303410243244
643410421522341300
72512613431562502
oct275405534155444
951088813238500
1013023103212324
1141710812850a7
121563b6aaba830
137360c524425a
143304704dd672
15178b62a83169
hexbd82d70db24

13023103212324 has 60 divisors (see below), whose sum is σ = 34603078482588. Its totient is φ = 4269869899200.

The previous prime is 13023103212319. The next prime is 13023103212347. The reversal of 13023103212324 is 42321230132031.

13023103212324 is a `hidden beast` number, since 1 + 3 + 0 + 2 + 3 + 10 + 321 + 2 + 324 = 666.

13023103212324 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 2719966189824 + 10303137022500 = 1649232^2 + 3209850^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 329445507 + ... + 329485034.

Almost surely, 213023103212324 is an apocalyptic number.

It is an amenable number.

13023103212324 is an abundant number, since it is smaller than the sum of its proper divisors (21579975270264).

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

13023103212324 is a wasteful number, since it uses less digits than its factorization.

13023103212324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 658930618 (or 658930607 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 13023103212324 its reverse (42321230132031), we get a palindrome (55344333344355).

The spelling of 13023103212324 in words is "thirteen trillion, twenty-three billion, one hundred three million, two hundred twelve thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 61 81 108 122 162 183 244 324 366 549 732 1098 1647 2196 3294 4941 6588 9882 19764 658930541 1317861082 1976791623 2635722164 3953583246 5930374869 7907166492 11860749738 17791124607 23721499476 35582249214 40194763001 53373373821 71164498428 80389526002 106746747642 120584289003 160779052004 213493495284 241168578006 361752867009 482337156012 723505734018 1085258601027 1447011468036 2170517202054 3255775803081 4341034404108 6511551606162 13023103212324