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312053540431 = 19349421111781
BaseRepresentation
bin1001000101001111101…
…01110010011001001111
31002211110112210022202111
410202213311302121033
520103041201243211
6355204434204451
731354656220543
oct4424765623117
91084415708674
10312053540431
111103830a7666
125058a123727
13235710bb159
1411163cd9a23
1581b59a8421
hex48a7d7264f

312053540431 has 16 divisors (see below), whose sum is σ = 330204028000. Its totient is φ = 294079766400.

The previous prime is 312053540429. The next prime is 312053540441. The reversal of 312053540431 is 134045350213.

It is a cyclic number.

It is not a de Polignac number, because 312053540431 - 21 = 312053540429 is a prime.

It is a super-2 number, since 2×3120535404312 (a number of 24 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 = 312053540393 and 312053540402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312053540441) 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, 2735761 + ... + 2847541.

It is an arithmetic number, because the mean of its divisors is an integer number (20637751750).

Almost surely, 2312053540431 is an apocalyptic number.

312053540431 is a deficient number, since it is larger than the sum of its proper divisors (18150487569).

312053540431 is a wasteful number, since it uses less digits than its factorization.

312053540431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112570.

The product of its (nonzero) digits is 21600, while the sum is 31.

Adding to 312053540431 its reverse (134045350213), we get a palindrome (446098890644).

The spelling of 312053540431 in words is "three hundred twelve billion, fifty-three million, five hundred forty thousand, four hundred thirty-one".

Divisors: 1 19 349 421 6631 7999 111781 146929 2123839 2791651 39011569 47059801 741219811 894136219 16423870549 312053540431