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3112292900801 = 72318171996297
BaseRepresentation
bin101101010010100011000…
…111001101111111000001
3102000112101001011200102002
4231102203013031333001
5401442433440311201
610341433450033345
7440566343110400
oct55224307157701
912015331150362
103112292900801
11a9aa09229127
12423224718855
13197646087836
14aa8c881b637
1555e57ca976b
hex2d4a31cdfc1

3112292900801 has 12 divisors (see below), whose sum is σ = 3620537956548. Its totient is φ = 2667594448512.

The previous prime is 3112292900719. The next prime is 3112292900863. The reversal of 3112292900801 is 1080092922113.

It can be written as a sum of positive squares in 2 ways, for example, as 1695659730625 + 1416633170176 = 1302175^2 + 1190224^2 .

It is not a de Polignac number, because 3112292900801 - 214 = 3112292884417 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3112292900701) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 560885 + ... + 2557181.

It is an arithmetic number, because the mean of its divisors is an integer number (301711496379).

Almost surely, 23112292900801 is an apocalyptic number.

It is an amenable number.

3112292900801 is a deficient number, since it is larger than the sum of its proper divisors (508245055747).

3112292900801 is a wasteful number, since it uses less digits than its factorization.

3112292900801 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2028128 (or 2028121 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 38.

The spelling of 3112292900801 in words is "three trillion, one hundred twelve billion, two hundred ninety-two million, nine hundred thousand, eight hundred one".

Divisors: 1 7 49 31817 222719 1559033 1996297 13974079 97818553 63516181649 444613271543 3112292900801