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10302313431 = 333756917909
BaseRepresentation
bin10011001100001000…
…01101001111010111
3222120222121202012010
421212010031033113
5132044343012211
64422142155303
7513205135134
oct114604151727
928528552163
1010302313431
114407429623
121bb6282b33
13c82518267
146da37958b
154046c74a6
hex26610d3d7

10302313431 has 16 divisors (see below), whose sum is σ = 13802162400. Its totient is φ = 6835411968.

The previous prime is 10302313367. The next prime is 10302313453. The reversal of 10302313431 is 13431320301.

10302313431 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10302313431 - 26 = 10302313367 is a prime.

It is a super-2 number, since 2×103023134312 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10302313398 and 10302313407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10302313031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 566305 + ... + 584213.

It is an arithmetic number, because the mean of its divisors is an integer number (862635150).

Almost surely, 210302313431 is an apocalyptic number.

10302313431 is a deficient number, since it is larger than the sum of its proper divisors (3499848969).

10302313431 is a wasteful number, since it uses less digits than its factorization.

10302313431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18818.

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 10302313431 its reverse (13431320301), we get a palindrome (23733633732).

The spelling of 10302313431 in words is "ten billion, three hundred two million, three hundred thirteen thousand, four hundred thirty-one".

Divisors: 1 3 337 569 1011 1707 17909 53727 191753 575259 6035333 10190221 18105999 30570663 3434104477 10302313431