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13353000043032 = 23321331460194377
BaseRepresentation
bin1100001001001111110011…
…0100110000001000011000
31202021112102112100201000100
43002103330310300020120
53222233421002334112
644222141124335400
72545502534431656
oct302237464601030
952245375321010
1013353000043032
114288a80459851
1215b7a98844560
1375b24ac54a20
143424080b1dd6
1518251ec8c2dc
hexc24fcd30218

13353000043032 has 96 divisors (see below), whose sum is σ = 40202580862080. Its totient is φ = 3976079408640.

The previous prime is 13353000043007. The next prime is 13353000043043. The reversal of 13353000043032 is 23034000035331.

It is a happy number.

13353000043032 is a `hidden beast` number, since 1 + 3 + 353 + 0 + 0 + 0 + 0 + 4 + 303 + 2 = 666.

It is a super-2 number, since 2×133530000430322 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13353000042987 and 13353000043005.

It is a congruent number.

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, 230068173 + ... + 230126204.

It is an arithmetic number, because the mean of its divisors is an integer number (418776883980).

Almost surely, 213353000043032 is an apocalyptic number.

13353000043032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13353000043032 is an abundant number, since it is smaller than the sum of its proper divisors (26849580819048).

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

13353000043032 is a wasteful number, since it uses less digits than its factorization.

13353000043032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 460194433 (or 460194426 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 27.

Adding to 13353000043032 its reverse (23034000035331), we get a palindrome (36387000078363).

The spelling of 13353000043032 in words is "thirteen trillion, three hundred fifty-three billion, forty-three thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 31 36 39 52 62 72 78 93 104 117 124 156 186 234 248 279 312 372 403 468 558 744 806 936 1116 1209 1612 2232 2418 3224 3627 4836 7254 9672 14508 29016 460194377 920388754 1380583131 1840777508 2761166262 3681555016 4141749393 5522332524 5982526901 8283498786 11044665048 11965053802 14266025687 16566997572 17947580703 23930107604 28532051374 33133995144 35895161406 42798077061 47860215208 53842742109 57064102748 71790322812 85596154122 107685484218 114128205496 128394231183 143580645624 171192308244 185458333931 215370968436 256788462366 342384616488 370916667862 430741936872 513576924732 556375001793 741833335724 1027153849464 1112750003586 1483666671448 1669125005379 2225500007172 3338250010758 4451000014344 6676500021516 13353000043032