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312131123211431 = 23523109792363441
BaseRepresentation
bin100011011111000011011000…
…0101110001110110010100111
31111221011102222122110222200202
41012332012300232032302213
5311402424020020231211
63023503020343501115
7122513505131425616
oct10676066056166247
91457142878428622
10312131123211431
119050007a8a1867
122b01112975779b
1310521ab95b5c74
145711326b4187d
1526143a801153b
hex11be1b0b8eca7

312131123211431 has 16 divisors (see below), whose sum is σ = 326354659580160. Its totient is φ = 297962076170880.

The previous prime is 312131123211379. The next prime is 312131123211473. The reversal of 312131123211431 is 134112321131213.

It is a cyclic number.

It is not a de Polignac number, because 312131123211431 - 242 = 307733076700327 is a prime.

It is a super-2 number, since 2×3121311232114312 (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 = 312131123211394 and 312131123211403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312131123214431) 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, 130884671 + ... + 133248111.

It is an arithmetic number, because the mean of its divisors is an integer number (20397166223760).

Almost surely, 2312131123211431 is an apocalyptic number.

312131123211431 is a deficient number, since it is larger than the sum of its proper divisors (14223536368729).

312131123211431 is a wasteful number, since it uses less digits than its factorization.

312131123211431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2374966.

The product of its digits is 2592, while the sum is 29.

Adding to 312131123211431 its reverse (134112321131213), we get a palindrome (446243444342644).

The spelling of 312131123211431 in words is "three hundred twelve trillion, one hundred thirty-one billion, one hundred twenty-three million, two hundred eleven thousand, four hundred thirty-one".

Divisors: 1 23 523 10979 12029 252517 2363441 5742017 54359143 132066391 1236079643 25948218739 28429831789 596809030997 13570918400497 312131123211431