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113201460810 = 232588110491361
BaseRepresentation
bin110100101101101010…
…1010011011001001010
3101211012012112000222200
41221123111103121022
53323314033221220
6124000512101030
711115144353304
oct1513325233112
9354165460880
10113201460810
1144010300a99
1219b32b34776
13a8a085a609
14569c46c974
152e281d3890
hex1a5b55364a

113201460810 has 96 divisors (see below), whose sum is σ = 295155478800. Its totient is φ = 30101913600.

The previous prime is 113201460809. The next prime is 113201460811. The reversal of 113201460810 is 18064102311.

It is a happy number.

113201460810 is a `hidden beast` number, since 1 + 1 + 32 + 0 + 14 + 608 + 10 = 666.

113201460810 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (113201460809) and next prime (113201460811).

It can be written as a sum of positive squares in 8 ways, for example, as 35592972921 + 77608487889 = 188661^2 + 278583^2 .

It is a super-2 number, since 2×1132014608102 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (113201460811) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 83174530 + ... + 83175890.

Almost surely, 2113201460810 is an apocalyptic number.

113201460810 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

113201460810 is an abundant number, since it is smaller than the sum of its proper divisors (181954017990).

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

113201460810 is a wasteful number, since it uses less digits than its factorization.

113201460810 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3304 (or 3301 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The spelling of 113201460810 in words is "one hundred thirteen billion, two hundred one million, four hundred sixty thousand, eight hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 881 1049 1361 1762 2098 2643 2722 3147 4083 4405 5245 5286 6294 6805 7929 8166 8810 9441 10490 12249 13215 13610 15735 15858 18882 20415 24498 26430 31470 39645 40830 47205 61245 79290 94410 122490 924169 1199041 1427689 1848338 2398082 2772507 2855378 3597123 4283067 4620845 5545014 5995205 7138445 7194246 8317521 8566134 9241690 10791369 11990410 12849201 13862535 14276890 16635042 17985615 21415335 21582738 25698402 27725070 35971230 41587605 42830670 53956845 64246005 83175210 107913690 128492010 1257794009 2515588018 3773382027 6288970045 7546764054 11320146081 12577940090 18866910135 22640292162 37733820270 56600730405 113201460810