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10040145123 = 347614792437
BaseRepresentation
bin10010101100111000…
…00111010011100011
3221220201022012212210
421112130013103203
5131030234120443
64340135053203
7503542553061
oct112634072343
927821265783
1010040145123
1142924446a8
121b42511203
13c40105098
146b3613031
153db68cc33
hex2567074e3

10040145123 has 32 divisors (see below), whose sum is σ = 13930536960. Its totient is φ = 6427532160.

The previous prime is 10040145113. The next prime is 10040145161. The reversal of 10040145123 is 32154104001.

10040145123 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a de Polignac number, because none of the positive numbers 2k-10040145123 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10040145123.

It is not an unprimeable number, because it can be changed into a prime (10040145103) 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 31 ways as a sum of consecutive naturals, for example, 4118661 + ... + 4121097.

It is an arithmetic number, because the mean of its divisors is an integer number (435329280).

Almost surely, 210040145123 is an apocalyptic number.

10040145123 is a deficient number, since it is larger than the sum of its proper divisors (3890391837).

10040145123 is a wasteful number, since it uses less digits than its factorization.

10040145123 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3027.

The product of its (nonzero) digits is 480, while the sum is 21.

Adding to 10040145123 its reverse (32154104001), we get a palindrome (42194249124).

The spelling of 10040145123 in words is "ten billion, forty million, one hundred forty-five thousand, one hundred twenty-three".

Divisors: 1 3 47 61 141 183 479 1437 2437 2867 7311 8601 22513 29219 67539 87657 114539 148657 343617 445971 1167323 1373293 3501969 4119879 6986879 20960637 54864181 71206703 164592543 213620109 3346715041 10040145123