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312200243201 = 71141982711701
BaseRepresentation
bin1001000101100001001…
…01011010100000000001
31002211211202211121010102
410202300211122200001
520103341230240301
6355231154412145
731361420165450
oct4426045324001
91084752747112
10312200243201
11110448997620
125060b291055
1323595604322
14111795a6b97
1581c37d5b6b
hex48b095a801

312200243201 has 32 divisors (see below), whose sum is σ = 390670801920. Its totient is φ = 242378136000.

The previous prime is 312200243161. The next prime is 312200243203. The reversal of 312200243201 is 102342002213.

It is not a de Polignac number, because 312200243201 - 218 = 312199981057 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (312200243203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 26675651 + ... + 26687351.

It is an arithmetic number, because the mean of its divisors is an integer number (12208462560).

Almost surely, 2312200243201 is an apocalyptic number.

It is an amenable number.

312200243201 is a deficient number, since it is larger than the sum of its proper divisors (78470558719).

312200243201 is a wasteful number, since it uses less digits than its factorization.

312200243201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12965.

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 312200243201 its reverse (102342002213), we get a palindrome (414542245414).

The spelling of 312200243201 in words is "three hundred twelve billion, two hundred million, two hundred forty-three thousand, two hundred one".

Divisors: 1 7 11 77 419 827 2933 4609 5789 9097 11701 32263 63679 81907 128711 346513 900977 2425591 3811643 4902719 9676727 26681501 34319033 53929909 67737089 106443997 377509363 745107979 4054548613 28381840291 44600034743 312200243201