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315104105232 = 24337104201093
BaseRepresentation
bin1001001010111011010…
…10110001001100010000
31010010100010222001222000
410211131222301030100
520130313122331412
6400431250314000
731523400462510
oct4453552611420
91103303861860
10315104105232
111116a90640a4
125109b888900
13239390c7b97
1411373105840
1582e36d94dc
hex495dab1310

315104105232 has 80 divisors (see below), whose sum is σ = 1033674852480. Its totient is φ = 90029743488.

The previous prime is 315104105231. The next prime is 315104105233. The reversal of 315104105232 is 232501401513.

315104105232 is a `hidden beast` number, since 3 + 1 + 5 + 10 + 410 + 5 + 232 = 666.

It is an interprime number because it is at equal distance from previous prime (315104105231) and next prime (315104105233).

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

It is a junction number, because it is equal to n+sod(n) for n = 315104105196 and 315104105205.

It is not an unprimeable number, because it can be changed into a prime (315104105231) 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 15 ways as a sum of consecutive naturals, for example, 52097523 + ... + 52103570.

It is an arithmetic number, because the mean of its divisors is an integer number (12920935656).

Almost surely, 2315104105232 is an apocalyptic number.

It is an amenable number.

315104105232 is an abundant number, since it is smaller than the sum of its proper divisors (718570747248).

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

315104105232 is a wasteful number, since it uses less digits than its factorization.

315104105232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104201117 (or 104201105 counting only the distinct ones).

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

Adding to 315104105232 its reverse (232501401513), we get a palindrome (547605506745).

The spelling of 315104105232 in words is "three hundred fifteen billion, one hundred four million, one hundred five thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 54 56 63 72 84 108 112 126 144 168 189 216 252 336 378 432 504 756 1008 1512 3024 104201093 208402186 312603279 416804372 625206558 729407651 833608744 937809837 1250413116 1458815302 1667217488 1875619674 2188222953 2500826232 2813429511 2917630604 3751239348 4376445906 5001652464 5626859022 5835261208 6564668859 7502478696 8752891812 11253718044 11670522416 13129337718 15004957392 17505783624 19694006577 22507436088 26258675436 35011567248 39388013154 45014872176 52517350872 78776026308 105034701744 157552052616 315104105232