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312023320001131 = 17237933100594177
BaseRepresentation
bin100011011110010001001011…
…1001001100111101001101011
31111220210010201122201111021011
41012330202113021213221223
5311344142224410014011
63023341311230524351
7122502640513314064
oct10674422711475153
91456703648644234
10312023320001131
119046938a789332
122abb42626666b7
131051489926542b
14570a01b60156b
152611698bee621
hex11bc897267a6b

312023320001131 has 16 divisors (see below), whose sum is σ = 344785337964864. Its totient is φ = 280865377419264.

The previous prime is 312023320001069. The next prime is 312023320001153. The reversal of 312023320001131 is 131100023320213.

It is a cyclic number.

It is not a de Polignac number, because 312023320001131 - 215 = 312023319968363 is a prime.

It is a super-2 number, since 2×3120233200011312 (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (312023320001191) 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, 47195286 + ... + 53398891.

It is an arithmetic number, because the mean of its divisors is an integer number (21549083622804).

Almost surely, 2312023320001131 is an apocalyptic number.

312023320001131 is a deficient number, since it is larger than the sum of its proper divisors (32762017963733).

312023320001131 is a wasteful number, since it uses less digits than its factorization.

312023320001131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100602150.

The product of its (nonzero) digits is 648, while the sum is 22.

Adding to 312023320001131 its reverse (131100023320213), we get a palindrome (443123343321344).

The spelling of 312023320001131 in words is "three hundred twelve trillion, twenty-three billion, three hundred twenty million, one thousand, one hundred thirty-one".

Divisors: 1 17 23 391 7933 134861 182459 3101803 100594177 1710101009 2313666071 39332323207 798013606141 13566231304397 18354312941243 312023320001131