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1032313040431 = 163131914873229
BaseRepresentation
bin11110000010110101010…
…01101110111000101111
310122200120200002221211021
433001122221232320233
5113403134114243211
62110123231035011
7134403452031001
oct17013251567057
93580520087737
101032313040431
1136888a887492
1214809b66ba67
13764679204ca
1437d6db56371
151bcbd48a771
hexf05aa6ee2f

1032313040431 has 16 divisors (see below), whose sum is σ = 1040454835200. Its totient is φ = 1024195256928.

The previous prime is 1032313040309. The next prime is 1032313040441. The reversal of 1032313040431 is 1340403132301.

It is a cyclic number.

It is not a de Polignac number, because 1032313040431 - 217 = 1032312909359 is a prime.

It is a super-2 number, since 2×10323130404312 (a number of 25 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 = 1032313040396 and 1032313040405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1032313040441) 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, 319698925 + ... + 319702153.

It is an arithmetic number, because the mean of its divisors is an integer number (65028427200).

Almost surely, 21032313040431 is an apocalyptic number.

1032313040431 is a deficient number, since it is larger than the sum of its proper divisors (8141794769).

1032313040431 is a wasteful number, since it uses less digits than its factorization.

1032313040431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6198.

The product of its (nonzero) digits is 2592, while the sum is 25.

Adding to 1032313040431 its reverse (1340403132301), we get a palindrome (2372716172732).

The spelling of 1032313040431 in words is "one trillion, thirty-two billion, three hundred thirteen million, forty thousand, four hundred thirty-one".

Divisors: 1 163 1319 1487 3229 214997 242381 526327 1961353 4259051 4801523 319700539 694225313 782648249 6333208837 1032313040431