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312311201123131 = 7673552718743737
BaseRepresentation
bin100011100000010111001111…
…0001100111100101100111011
31111221210122210120211201200221
41013000232132030330230323
5311413401314441420011
63024121441330240511
7122532511464423550
oct10700563614745473
91457718716751627
10312311201123131
119056a489109181
122b040005426137
1310535a874091c2
145719d2b01ca27
152618de74a9971
hex11c0b9e33cb3b

312311201123131 has 16 divisors (see below), whose sum is σ = 362264572873216. Its totient is φ = 263692426193856.

The previous prime is 312311201123101. The next prime is 312311201123161. The reversal of 312311201123131 is 131321102113213.

It is an interprime number because it is at equal distance from previous prime (312311201123101) and next prime (312311201123161).

It is a cyclic number.

It is not a de Polignac number, because 312311201123131 - 27 = 312311201123003 is a prime.

It is a super-2 number, since 2×3123112011231312 (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 = 312311201123096 and 312311201123105.

It is not an unprimeable number, because it can be changed into a prime (312311201123101) 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, 7290295 + ... + 26034031.

It is an arithmetic number, because the mean of its divisors is an integer number (22641535804576).

Almost surely, 2312311201123131 is an apocalyptic number.

312311201123131 is a deficient number, since it is larger than the sum of its proper divisors (49953371750085).

312311201123131 is a wasteful number, since it uses less digits than its factorization.

312311201123131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18779338.

The product of its (nonzero) digits is 648, while the sum is 25.

Adding to 312311201123131 its reverse (131321102113213), we get a palindrome (443632303236344).

The spelling of 312311201123131 in words is "three hundred twelve trillion, three hundred eleven billion, two hundred one million, one hundred twenty-three thousand, one hundred thirty-one".

Divisors: 1 7 67 469 35527 248689 2380309 16662163 18743737 131206159 1255830379 8790812653 665908744399 4661361210793 44615885874733 312311201123131