Search a number
-
+
13012312220232 = 23313389107213699
BaseRepresentation
bin1011110101011010101000…
…1111110110001001001000
31201001222001102010010021020
42331112222033312021020
53201143203412021412
643401435042112440
72512052140632243
oct275265217661110
951058042103236
1013012312220232
114167544022016
121561a5904b720
13735095709030
1432db292b825a
1517873052c18c
hexbd5aa3f6248

13012312220232 has 64 divisors (see below), whose sum is σ = 35123208120000. Its totient is φ = 3993495823104.

The previous prime is 13012312220227. The next prime is 13012312220239. The reversal of 13012312220232 is 23202221321031.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (13012312220239) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 53485482 + ... + 53728217.

It is an arithmetic number, because the mean of its divisors is an integer number (548800126875).

Almost surely, 213012312220232 is an apocalyptic number.

13012312220232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13012312220232 is an abundant number, since it is smaller than the sum of its proper divisors (22110895899768).

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

13012312220232 is a wasteful number, since it uses less digits than its factorization.

13012312220232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107214110 (or 107214106 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 13012312220232 its reverse (23202221321031), we get a palindrome (36214533541263).

The spelling of 13012312220232 in words is "thirteen trillion, twelve billion, three hundred twelve million, two hundred twenty thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 156 312 389 778 1167 1556 2334 3112 4668 5057 9336 10114 15171 20228 30342 40456 60684 121368 107213699 214427398 321641097 428854796 643282194 857709592 1286564388 1393778087 2573128776 2787556174 4181334261 5575112348 8362668522 11150224696 16725337044 33450674088 41706128911 83412257822 125118386733 166824515644 250236773466 333649031288 500473546932 542179675843 1000947093864 1084359351686 1626539027529 2168718703372 3253078055058 4337437406744 6506156110116 13012312220232