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312029656961 = 11139929576857
BaseRepresentation
bin1001000101001100110…
…10101011011110000001
31002211101212211220210112
410202212122223132001
520103014043010321
6355202222241105
731354246215461
oct4424632533601
91084355756715
10312029656961
11110370674660
1250582126195
1323569178219
1411160a7dba1
1581b383ba5b
hex48a66ab781

312029656961 has 16 divisors (see below), whose sum is σ = 340804195200. Its totient is φ = 283323377280.

The previous prime is 312029656867. The next prime is 312029656973. The reversal of 312029656961 is 169656920213.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-312029656961 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (312029653961) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 45501845 + ... + 45508701.

It is an arithmetic number, because the mean of its divisors is an integer number (21300262200).

Almost surely, 2312029656961 is an apocalyptic number.

It is an amenable number.

312029656961 is a deficient number, since it is larger than the sum of its proper divisors (28774538239).

312029656961 is a wasteful number, since it uses less digits than its factorization.

312029656961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11224.

The product of its (nonzero) digits is 1049760, while the sum is 50.

The spelling of 312029656961 in words is "three hundred twelve billion, twenty-nine million, six hundred fifty-six thousand, nine hundred sixty-one".

Divisors: 1 11 1399 2957 6857 15389 32527 75427 4136843 9592943 20276149 45505273 105522373 223037639 28366332451 312029656961