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10022031431 = 23241462079
BaseRepresentation
bin10010101010101110…
…00001000001000111
3221212110012221120022
421111113001001013
5131011120001211
64334250525355
7503232601346
oct112527010107
927773187508
1010022031431
1142831a2605
121b3843685b
13c39432419
146b1059b5d
153d9cb0bdb
hex2555c1047

10022031431 has 12 divisors (see below), whose sum is σ = 10732270080. Its totient is φ = 9352458720.

The previous prime is 10022031407. The next prime is 10022031473. The reversal of 10022031431 is 13413022001.

It is a de Polignac number, because none of the positive numbers 2k-10022031431 is a prime.

It is a super-3 number, since 3×100220314313 (a number of 31 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 congruent number.

It is not an unprimeable number, because it can be changed into a prime (10022031491) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 209351 + ... + 252728.

It is an arithmetic number, because the mean of its divisors is an integer number (894355840).

Almost surely, 210022031431 is an apocalyptic number.

10022031431 is a deficient number, since it is larger than the sum of its proper divisors (710238649).

10022031431 is an equidigital number, since it uses as much as digits as its factorization.

10022031431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 462166 (or 462143 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 10022031431 its reverse (13413022001), we get a palindrome (23435053432).

The spelling of 10022031431 in words is "ten billion, twenty-two million, thirty-one thousand, four hundred thirty-one".

Divisors: 1 23 41 529 943 21689 462079 10627817 18945239 244439791 435740497 10022031431