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113361502401 = 347337310939
BaseRepresentation
bin110100110010011011…
…1110100000011000001
3101211121100122222210000
41221210313310003001
53324131021034101
6124024430230213
711122126605000
oct1514467640301
9354540588700
10113361502401
1144092681674
1219b78655369
13a8c7a63c94
1456b580cc37
152e37298486
hex1a64df40c1

113361502401 has 80 divisors (see below), whose sum is σ = 198031504000. Its totient is φ = 64598427936.

The previous prime is 113361502361. The next prime is 113361502439. The reversal of 113361502401 is 104205163311.

It is a happy number.

113361502401 is a `hidden beast` number, since 1 + 1 + 3 + 3 + 615 + 0 + 2 + 40 + 1 = 666.

It is not a de Polignac number, because 113361502401 - 29 = 113361501889 is a prime.

It is a super-2 number, since 2×1133615024012 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (113361502601) 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 79 ways as a sum of consecutive naturals, for example, 10357590 + ... + 10368528.

It is an arithmetic number, because the mean of its divisors is an integer number (2475393800).

Almost surely, 2113361502401 is an apocalyptic number.

It is an amenable number.

113361502401 is a deficient number, since it is larger than the sum of its proper divisors (84670001599).

113361502401 is an equidigital number, since it uses as much as digits as its factorization.

113361502401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11345 (or 11322 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

Adding to 113361502401 its reverse (104205163311), we get a palindrome (217566665712).

The spelling of 113361502401 in words is "one hundred thirteen billion, three hundred sixty-one million, five hundred two thousand, four hundred one".

Divisors: 1 3 7 9 21 27 49 63 81 147 189 343 373 441 567 1029 1119 1323 2611 3087 3357 3969 7833 9261 10071 10939 18277 23499 27783 30213 32817 54831 70497 76573 98451 127939 164493 211491 229719 295353 383817 493479 536011 689157 886059 1151451 1480437 1608033 2067471 3454353 3752077 4080247 4824099 6202413 10363059 11256231 12240741 14472297 28561729 33768693 36722223 43416891 85685187 101306079 110166669 199932103 257055561 303918237 330500007 599796309 771166683 1399524721 1799388927 2313500049 4198574163 5398166781 12595722489 16194500343 37787167467 113361502401