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10130142131232 = 253195879461339
BaseRepresentation
bin1001001101101001101110…
…0001011111010000100000
31022212102200000121111211220
42103122123201133100200
52311433012341144412
633313420102335040
72063610236246364
oct223323341372040
938772600544756
1010130142131232
113256195160482
12117735812a480
13586364605476
142704314352a4
151287954ce68c
hex9369b85f420

10130142131232 has 96 divisors (see below), whose sum is σ = 28038870316800. Its totient is φ = 3193542183168.

The previous prime is 10130142131209. The next prime is 10130142131297. The reversal of 10130142131232 is 23213124103101.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3659982 + ... + 5801357.

It is an arithmetic number, because the mean of its divisors is an integer number (292071565800).

Almost surely, 210130142131232 is an apocalyptic number.

10130142131232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10130142131232 is an abundant number, since it is smaller than the sum of its proper divisors (17908728185568).

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

10130142131232 is a wasteful number, since it uses less digits than its factorization.

10130142131232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9461958 (or 9461950 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 10130142131232 its reverse (23213124103101), we get a palindrome (33343266234333).

The spelling of 10130142131232 in words is "ten trillion, one hundred thirty billion, one hundred forty-two million, one hundred thirty-one thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 76 96 114 152 228 304 456 587 608 912 1174 1761 1824 2348 3522 4696 7044 9392 11153 14088 18784 22306 28176 33459 44612 56352 66918 89224 133836 178448 267672 356896 535344 1070688 9461339 18922678 28384017 37845356 56768034 75690712 113536068 151381424 179765441 227072136 302762848 359530882 454144272 539296323 719061764 908288544 1078592646 1438123528 2157185292 2876247056 4314370584 5553805993 5752494112 8628741168 11107611986 16661417979 17257482336 22215223972 33322835958 44430447944 66645671916 88860895888 105522313867 133291343832 177721791776 211044627734 266582687664 316566941601 422089255468 533165375328 633133883202 844178510936 1266267766404 1688357021872 2532535532808 3376714043744 5065071065616 10130142131232