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312401354355311 = 1373519733633383
BaseRepresentation
bin100011100001000001001101…
…1110000001111001001101111
31111222010021111112001102212012
41013002002123300033021233
5311421340433203332221
63024231111223031435
7122542152534311264
oct10702023360171157
91458107445042765
10312401354355311
11905a4741279931
122b05558559b57b
1310541423bbc5c0
14572044040726b
15261b42200365b
hex11c209bc0f26f

312401354355311 has 16 divisors (see below), whose sum is σ = 341042083050816. Its totient is φ = 284419204091136.

The previous prime is 312401354355283. The next prime is 312401354355347. The reversal of 312401354355311 is 113553453104213.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-312401354355311 is a prime.

It is a super-2 number, since 2×3124013543553112 (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312401354355371) 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 15 ways as a sum of consecutive naturals, for example, 492909926 + ... + 493543308.

It is an arithmetic number, because the mean of its divisors is an integer number (21315130190676).

Almost surely, 2312401354355311 is an apocalyptic number.

312401354355311 is a deficient number, since it is larger than the sum of its proper divisors (28640728695505).

312401354355311 is a wasteful number, since it uses less digits than its factorization.

312401354355311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1153202.

The product of its (nonzero) digits is 324000, while the sum is 41.

The spelling of 312401354355311 in words is "three hundred twelve trillion, four hundred one billion, three hundred fifty-four million, three hundred fifty-five thousand, three hundred eleven".

Divisors: 1 13 73 949 519733 633383 6756529 8233979 37940509 46236959 493226617 601080467 329190046739 4279470607607 24030873411947 312401354355311