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13531021152 = 2531119674393
BaseRepresentation
bin11001001101000001…
…01111111101100000
31021221000000002112120
430212200233331200
5210202420134102
610114400424240
7656211532155
oct144640577540
937830002476
1013531021152
1158139aa510
122757618080
1313783c87bc
149250b822c
15542d966bc
hex32682ff60

13531021152 has 96 divisors (see below), whose sum is σ = 40787349120. Its totient is φ = 3884497920.

The previous prime is 13531021151. The next prime is 13531021169. The reversal of 13531021152 is 25112013531.

13531021152 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13531021151) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 317133 + ... + 357260.

It is an arithmetic number, because the mean of its divisors is an integer number (424868220).

Almost surely, 213531021152 is an apocalyptic number.

13531021152 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13531021152 is an abundant number, since it is smaller than the sum of its proper divisors (27256327968).

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

13531021152 is a wasteful number, since it uses less digits than its factorization.

13531021152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 674436 (or 674428 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 24.

Adding to 13531021152 its reverse (25112013531), we get a palindrome (38643034683).

The spelling of 13531021152 in words is "thirteen billion, five hundred thirty-one million, twenty-one thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 11 12 16 19 22 24 32 33 38 44 48 57 66 76 88 96 114 132 152 176 209 228 264 304 352 418 456 528 608 627 836 912 1056 1254 1672 1824 2508 3344 5016 6688 10032 20064 674393 1348786 2023179 2697572 4046358 5395144 7418323 8092716 10790288 12813467 14836646 16185432 21580576 22254969 25626934 29673292 32370864 38440401 44509938 51253868 59346584 64741728 76880802 89019876 102507736 118693168 140948137 153761604 178039752 205015472 237386336 281896274 307523208 356079504 410030944 422844411 563792548 615046416 712159008 845688822 1127585096 1230092832 1691377644 2255170192 3382755288 4510340384 6765510576 13531021152