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10144431031 = 75939761871
BaseRepresentation
bin10010111001010011…
…11011101110110111
3222011222112111020211
421130221323232313
5131233433243111
64354342210251
7506250145450
oct113451735667
928158474224
1010144431031
1143362a31a9
121b71423987
13c588b9617
146c33dc127
153e58dc521
hex25ca7bbb7

10144431031 has 16 divisors (see below), whose sum is σ = 11820026880. Its totient is φ = 8526180960.

The previous prime is 10144431023. The next prime is 10144431047. The reversal of 10144431031 is 13013444101.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 10144431031 - 23 = 10144431023 is a prime.

It is a super-2 number, since 2×101444310312 (a number of 21 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 = 10144430993 and 10144431011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10144431091) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 133026 + ... + 194896.

It is an arithmetic number, because the mean of its divisors is an integer number (738751680).

Almost surely, 210144431031 is an apocalyptic number.

10144431031 is a deficient number, since it is larger than the sum of its proper divisors (1675595849).

10144431031 is an equidigital number, since it uses as much as digits as its factorization.

10144431031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62334.

The product of its (nonzero) digits is 576, while the sum is 22.

Adding to 10144431031 its reverse (13013444101), we get a palindrome (23157875132).

The spelling of 10144431031 in words is "ten billion, one hundred forty-four million, four hundred thirty-one thousand, thirty-one".

Divisors: 1 7 59 397 413 2779 23423 61871 163961 433097 3650389 24562787 25552723 171939509 1449204433 10144431031