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113505031645146 = 23237301916904863
BaseRepresentation
bin11001110011101101110011…
…000101110110011111011010
3112212212222022210221211100100
4121303231303011312133122
5104334131301100121041
61041223254112120230
732623316332110561
oct3163556305663732
9485788283854310
10113505031645146
1133191239325889
1210892051536076
134b4462b50a73b
14200595c3d8bd8
15d1c7d66926b6
hex673b731767da

113505031645146 has 24 divisors (see below), whose sum is σ = 245928242401920. Its totient is φ = 37834906881096.

The previous prime is 113505031645129. The next prime is 113505031645163. The reversal of 113505031645146 is 641546130505311.

113505031645146 is a `hidden beast` number, since 1 + 1 + 3 + 50 + 50 + 31 + 6 + 4 + 514 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (113505031645129) and next prime (113505031645163).

It is a super-2 number, since 2×1135050316451462 (a number of 29 digits) contains 22 as substring.

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1738090 + ... + 15166773.

It is an arithmetic number, because the mean of its divisors is an integer number (10247010100080).

Almost surely, 2113505031645146 is an apocalyptic number.

113505031645146 is an abundant number, since it is smaller than the sum of its proper divisors (132423210756774).

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

113505031645146 is a wasteful number, since it uses less digits than its factorization.

113505031645146 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17277890 (or 17277887 counting only the distinct ones).

The product of its (nonzero) digits is 648000, while the sum is 45.

The spelling of 113505031645146 in words is "one hundred thirteen trillion, five hundred five billion, thirty-one million, six hundred forty-five thousand, one hundred forty-six".

Divisors: 1 2 3 6 9 18 373019 746038 1119057 2238114 3357171 6714342 16904863 33809726 50714589 101429178 152143767 304287534 6305835091397 12611670182794 18917505274191 37835010548382 56752515822573 113505031645146