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10023412431 = 317921186437
BaseRepresentation
bin10010101010111000…
…10010001011001111
3221212112211002221110
421111130102023033
5131011443144211
64334340303103
7503250412524
oct112534221317
927775732843
1010023412431
114283a5612a
121b389a1a93
13c397c6b96
146b12d914b
153d9e84ea6
hex2557122cf

10023412431 has 8 divisors (see below), whose sum is σ = 13365367344. Its totient is φ = 6681866240.

The previous prime is 10023412423. The next prime is 10023412439. The reversal of 10023412431 is 13421432001.

10023412431 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10023412423) and next prime (10023412439).

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

It is a cyclic number.

It is not a de Polignac number, because 10023412431 - 23 = 10023412423 is a prime.

It is a super-2 number, since 2×100234124312 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10023412398 and 10023412407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10023412439) 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 7 ways as a sum of consecutive naturals, for example, 39456 + ... + 146981.

It is an arithmetic number, because the mean of its divisors is an integer number (1670670918).

Almost surely, 210023412431 is an apocalyptic number.

10023412431 is a deficient number, since it is larger than the sum of its proper divisors (3341954913).

10023412431 is a wasteful number, since it uses less digits than its factorization.

10023412431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204361.

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 10023412431 its reverse (13421432001), we get a palindrome (23444844432).

The spelling of 10023412431 in words is "ten billion, twenty-three million, four hundred twelve thousand, four hundred thirty-one".

Divisors: 1 3 17921 53763 186437 559311 3341137477 10023412431