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312131112401041 = 417993079524443
BaseRepresentation
bin100011011111000011011000…
…0000100111111100010010001
31111221011102221220010202121221
41012332012300010333202101
5311402424004233313131
63023503015320045041
7122513504640512503
oct10676066004774221
91457142856122557
10312131112401041
119050007478885a
122b011126003781
1310521ab729c59b
145711325529d73
1526143a70c8411
hex11be1b013f891

312131112401041 has 8 divisors (see below), whose sum is σ = 319744499959584. Its totient is φ = 304517745490080.

The previous prime is 312131112401027. The next prime is 312131112401077. The reversal of 312131112401041 is 140104211131213.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 312131112401041 - 213 = 312131112392849 is a prime.

It is a super-2 number, since 2×3121311124010412 (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 312131112400997 and 312131112401015.

It is not an unprimeable number, because it can be changed into a prime (312131112402041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 28009366 + ... + 37533808.

It is an arithmetic number, because the mean of its divisors is an integer number (39968062494948).

Almost surely, 2312131112401041 is an apocalyptic number.

It is an amenable number.

312131112401041 is a deficient number, since it is larger than the sum of its proper divisors (7613387558543).

312131112401041 is an equidigital number, since it uses as much as digits as its factorization.

312131112401041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10323791.

The product of its (nonzero) digits is 576, while the sum is 25.

Adding to 312131112401041 its reverse (140104211131213), we get a palindrome (452235323532254).

The spelling of 312131112401041 in words is "three hundred twelve trillion, one hundred thirty-one billion, one hundred twelve million, four hundred one thousand, forty-one".

Divisors: 1 41 799307 9524443 32771587 390502163 7612953961001 312131112401041