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1012135250340 = 223258116933383
BaseRepresentation
bin11101011101001111111…
…01100100100110100100
310120202111110001000102100
432232213331210212210
5113040323111002330
62052545111012100
7133060440451434
oct16564775444644
93522443030370
101012135250340
11360275a65105
121441aa06a030
13745a0466846
1436db7dd02c4
151b4dbd01060
hexeba7f649a4

1012135250340 has 72 divisors (see below), whose sum is σ = 3073929663168. Its totient is φ = 269569892160.

The previous prime is 1012135250317. The next prime is 1012135250363. The reversal of 1012135250340 is 430525312101.

1012135250340 is a `hidden beast` number, since 1 + 0 + 121 + 35 + 2 + 503 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1012135250317) and next prime (1012135250363).

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 23 ways as a sum of consecutive naturals, for example, 3320712 + ... + 3612671.

It is an arithmetic number, because the mean of its divisors is an integer number (42693467544).

Almost surely, 21012135250340 is an apocalyptic number.

1012135250340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1012135250340 is an abundant number, since it is smaller than the sum of its proper divisors (2061794412828).

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

1012135250340 is a wasteful number, since it uses less digits than its factorization.

1012135250340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6934209 (or 6934204 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The spelling of 1012135250340 in words is "one trillion, twelve billion, one hundred thirty-five million, two hundred fifty thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 811 1622 2433 3244 4055 4866 7299 8110 9732 12165 14598 16220 24330 29196 36495 48660 72990 145980 6933383 13866766 20800149 27733532 34666915 41600298 62400447 69333830 83200596 104000745 124800894 138667660 208001490 249601788 312002235 416002980 624004470 1248008940 5622973613 11245947226 16868920839 22491894452 28114868065 33737841678 50606762517 56229736130 67475683356 84344604195 101213525034 112459472260 168689208390 202427050068 253033812585 337378416780 506067625170 1012135250340