Search a number
-
+
1013232131232 = 25329894089307
BaseRepresentation
bin11101011111010010101…
…01110101110010100000
310120212022220000100010120
432233221111311302200
5113100044411144412
62053250013000240
7133126560004056
oct16575125656240
93525286010116
101013232131232
11360789139a42
12144455483080
13747167948a9
143707d95a1d6
151b55326cb8c
hexebe9575ca0

1013232131232 has 96 divisors (see below), whose sum is σ = 2782365163200. Its totient is φ = 322433599488.

The previous prime is 1013232131231. The next prime is 1013232131269. The reversal of 1013232131232 is 2321312323101.

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 not an unprimeable number, because it can be changed into a prime (1013232131231) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1796878 + ... + 2292429.

It is an arithmetic number, because the mean of its divisors is an integer number (28982970450).

Almost surely, 21013232131232 is an apocalyptic number.

1013232131232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1013232131232 is an abundant number, since it is smaller than the sum of its proper divisors (1769133031968).

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

1013232131232 is a wasteful number, since it uses less digits than its factorization.

1013232131232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4089438 (or 4089430 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 1013232131232 its reverse (2321312323101), we get a palindrome (3334544454333).

The spelling of 1013232131232 in words is "one trillion, thirteen billion, two hundred thirty-two million, one hundred thirty-one thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 87 89 96 116 174 178 232 267 348 356 464 534 696 712 928 1068 1392 1424 2136 2581 2784 2848 4272 5162 7743 8544 10324 15486 20648 30972 41296 61944 82592 123888 247776 4089307 8178614 12267921 16357228 24535842 32714456 49071684 65428912 98143368 118589903 130857824 196286736 237179806 355769709 363948323 392573472 474359612 711539418 727896646 948719224 1091844969 1423078836 1455793292 1897438448 2183689938 2846157672 2911586584 3794876896 4367379876 5692315344 5823173168 8734759752 10554501367 11384630688 11646346336 17469519504 21109002734 31663504101 34939039008 42218005468 63327008202 84436010936 126654016404 168872021872 253308032808 337744043744 506616065616 1013232131232