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312500130345 = 325132221240517
BaseRepresentation
bin1001000110000100111…
…01011001001000101001
31002212121200010102221200
410203002131121020221
520110000013132340
6355321030154413
731402021165134
oct4430235311051
91085550112850
10312500130345
111105921a4237
12506937b2a09
1323612792940
14111a734b21b
1581decc1330
hex48c2759229

312500130345 has 48 divisors (see below), whose sum is σ = 583598647632. Its totient is φ = 153776309760.

The previous prime is 312500130343. The next prime is 312500130373. The reversal of 312500130345 is 543031005213.

312500130345 is a `hidden beast` number, since 312 + 5 + 0 + 0 + 1 + 3 + 0 + 345 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 23844301056 + 288655829289 = 154416^2 + 537267^2 .

It is not a de Polignac number, because 312500130345 - 21 = 312500130343 is a prime.

It is not an unprimeable number, because it can be changed into a prime (312500130343) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1179027 + ... + 1419543.

It is an arithmetic number, because the mean of its divisors is an integer number (12158305159).

Almost surely, 2312500130345 is an apocalyptic number.

It is an amenable number.

312500130345 is a deficient number, since it is larger than the sum of its proper divisors (271098517287).

312500130345 is a wasteful number, since it uses less digits than its factorization.

312500130345 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 242762 (or 242759 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

Adding to 312500130345 its reverse (543031005213), we get a palindrome (855531135558).

The spelling of 312500130345 in words is "three hundred twelve billion, five hundred million, one hundred thirty thousand, three hundred forty-five".

Divisors: 1 3 5 9 13 15 39 45 65 117 195 585 2221 6663 11105 19989 28873 33315 86619 99945 144365 240517 259857 433095 721551 1202585 1299285 2164653 3126721 3607755 9380163 10823265 15633605 28140489 46900815 140702445 534188257 1602564771 2670941285 4807694313 6944447341 8012823855 20833342023 24038471565 34722236705 62500026069 104166710115 312500130345