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10144510233 = 31113115320509
BaseRepresentation
bin10010111001010100…
…01111000100011001
3222011222200111220020
421130222033010121
5131233443311413
64354344021053
7506250625404
oct113452170431
928158614806
1010144510233
114336347760
121b71461789
13c589166a0
146c341cd3b
153e5905c23
hex25ca8f119

10144510233 has 32 divisors (see below), whose sum is σ = 15905258880. Its totient is φ = 5670051840.

The previous prime is 10144510219. The next prime is 10144510279. The reversal of 10144510233 is 33201544101.

It is a happy number.

It is not a de Polignac number, because 10144510233 - 212 = 10144506137 is a prime.

It is a super-2 number, since 2×101445102332 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10144515233) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 484383 + ... + 504891.

It is an arithmetic number, because the mean of its divisors is an integer number (497039340).

Almost surely, 210144510233 is an apocalyptic number.

10144510233 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

10144510233 is a deficient number, since it is larger than the sum of its proper divisors (5760748647).

10144510233 is a wasteful number, since it uses less digits than its factorization.

10144510233 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21689.

The product of its (nonzero) digits is 1440, while the sum is 24.

The spelling of 10144510233 in words is "ten billion, one hundred forty-four million, five hundred ten thousand, two hundred thirty-three".

Divisors: 1 3 11 13 33 39 143 429 1153 3459 12683 14989 20509 38049 44967 61527 164879 225599 266617 494637 676797 799851 2932787 8798361 23646877 70940631 260115647 307409401 780346941 922228203 3381503411 10144510233