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31245516431 = 431375303941
BaseRepresentation
bin11101000110011000…
…001011111010001111
32222122112221200201022
4131012120023322033
51002442323011211
622204243504355
72154202336043
oct350630137217
988575850638
1031245516431
1112284308a58
1260800880bb
132c3c434c7c
141725a26023
15c2d155bdb
hex74660be8f

31245516431 has 8 divisors (see below), whose sum is σ = 32205535824. Its totient is φ = 30296105280.

The previous prime is 31245516413. The next prime is 31245516433. The reversal of 31245516431 is 13461554213.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-31245516431 is a prime.

It is a super-3 number, since 3×312455164313 (a number of 32 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 31245516391 and 31245516400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31245516433) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2646080 + ... + 2657861.

It is an arithmetic number, because the mean of its divisors is an integer number (4025691978).

Almost surely, 231245516431 is an apocalyptic number.

31245516431 is a deficient number, since it is larger than the sum of its proper divisors (960019393).

31245516431 is a wasteful number, since it uses less digits than its factorization.

31245516431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5304121.

The product of its digits is 43200, while the sum is 35.

The spelling of 31245516431 in words is "thirty-one billion, two hundred forty-five million, five hundred sixteen thousand, four hundred thirty-one".

Divisors: 1 43 137 5891 5303941 228069463 726639917 31245516431