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10134340302312 = 23321229114527849
BaseRepresentation
bin1001001101111001010111…
…0000001111010111101000
31022212211111121012200220200
42103132111300033113220
52312020112104133222
633315352431552200
72064116254152252
oct223362560172750
938784447180820
1010134340302312
113257a49998556
12117812a08b660
135868832c0875
1427070cc12cd2
1512893dd4beac
hex93795c0f5e8

10134340302312 has 48 divisors (see below), whose sum is σ = 27469504822500. Its totient is φ = 3375364736256.

The previous prime is 10134340302211. The next prime is 10134340302341. The reversal of 10134340302312 is 21320304343101.

It is a happy number.

10134340302312 is a `hidden beast` number, since 1 + 0 + 1 + 3 + 4 + 3 + 40 + 302 + 312 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 6679671264036 + 3454669038276 = 2584506^2 + 1858674^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 57175437 + ... + 57352412.

Almost surely, 210134340302312 is an apocalyptic number.

10134340302312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10134340302312 is an abundant number, since it is smaller than the sum of its proper divisors (17335164520188).

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

10134340302312 is a wasteful number, since it uses less digits than its factorization.

10134340302312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114529090 (or 114529083 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 10134340302312 its reverse (21320304343101), we get a palindrome (31454644645413).

The spelling of 10134340302312 in words is "ten trillion, one hundred thirty-four billion, three hundred forty million, three hundred two thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 1229 2458 3687 4916 7374 9832 11061 14748 22122 29496 44244 88488 114527849 229055698 343583547 458111396 687167094 916222792 1030750641 1374334188 2061501282 2748668376 4123002564 8246005128 140754726421 281509452842 422264179263 563018905684 844528358526 1126037811368 1266792537789 1689056717052 2533585075578 3378113434104 5067170151156 10134340302312