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13101321096 = 23327319712653
BaseRepresentation
bin11000011001110011…
…00100101110001000
31020211001110001212200
430030321210232020
5203312414233341
610004010440200
7642443251263
oct141471445610
936731401780
1013101321096
1156133994a6
122657733060
13130a388906
148c3dc1cda
1551a2b7db6
hex30ce64b88

13101321096 has 96 divisors (see below), whose sum is σ = 36154249560. Its totient is φ = 4285080576.

The previous prime is 13101321073. The next prime is 13101321127. The reversal of 13101321096 is 69012310131.

It can be written as a sum of positive squares in 4 ways, for example, as 11127296196 + 1974024900 = 105486^2 + 44430^2 .

It is a super-2 number, since 2×131013210962 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1029106 + ... + 1041758.

Almost surely, 213101321096 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13101321096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18077124780).

13101321096 is an abundant number, since it is smaller than the sum of its proper divisors (23052928464).

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

13101321096 is a wasteful number, since it uses less digits than its factorization.

13101321096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12935 (or 12928 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 27.

The spelling of 13101321096 in words is "thirteen billion, one hundred one million, three hundred twenty-one thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 73 146 197 219 292 394 438 584 591 657 788 876 1182 1314 1576 1752 1773 2364 2628 3546 4728 5256 7092 12653 14184 14381 25306 28762 37959 43143 50612 57524 75918 86286 101224 113877 115048 129429 151836 172572 227754 258858 303672 345144 455508 517716 911016 923669 1035432 1847338 2492641 2771007 3694676 4985282 5542014 7389352 7477923 8313021 9970564 11084028 14955846 16626042 19941128 22168056 22433769 29911692 33252084 44867538 59823384 66504168 89735076 179470152 181962793 363925586 545888379 727851172 1091776758 1455702344 1637665137 2183553516 3275330274 4367107032 6550660548 13101321096