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312023121320131 = 13219326336373661
BaseRepresentation
bin100011011110010001000101…
…1010011101101100011000011
31111220210010012210212110011121
41012330202023103231203003
5311344141323024221011
63023341235412253111
7122502632551462144
oct10674421323554303
91456703183773147
10312023121320131
1190469298617361
122abb4208011197
1310514867050600
145709ddd083acb
152611686555e71
hex11bc88b4ed8c3

312023121320131 has 24 divisors (see below), whose sum is σ = 340913165557536. Its totient is φ = 285439532451840.

The previous prime is 312023121320111. The next prime is 312023121320167. The reversal of 312023121320131 is 131023121320213.

It is not a de Polignac number, because 312023121320131 - 225 = 312023087765699 is a prime.

It is a super-2 number, since 2×3120231213201312 (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 312023121320096 and 312023121320105.

It is not an unprimeable number, because it can be changed into a prime (312023121320111) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9608560 + ... + 26765101.

It is an arithmetic number, because the mean of its divisors is an integer number (14204715231564).

Almost surely, 2312023121320131 is an apocalyptic number.

312023121320131 is a deficient number, since it is larger than the sum of its proper divisors (28890044237405).

312023121320131 is a wasteful number, since it uses less digits than its factorization.

312023121320131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36374143 (or 36374130 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 25.

Adding to 312023121320131 its reverse (131023121320213), we get a palindrome (443046242640344).

The spelling of 312023121320131 in words is "three hundred twelve trillion, twenty-three billion, one hundred twenty-one million, three hundred twenty thousand, one hundred thirty-one".

Divisors: 1 13 169 193 263 2509 3419 32617 44447 50759 659867 8578271 36373661 472857593 6147148709 7020116573 9566272843 91261515449 124361546959 1186399700837 1616700110467 1846290658699 24001778563087 312023121320131