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13005103254 = 23111361248483
BaseRepresentation
bin11000001110010101…
…00010000010010110
31020120100101200210220
430013022202002112
5203113301301004
65550252255210
7640164360633
oct140712420226
936510350726
1013005103254
115574050620
12262b471506
1312c346a790
148b52d718a
15511b0ddd9
hex3072a2096

13005103254 has 64 divisors (see below), whose sum is σ = 31058512128. Its totient is φ = 3578140800.

The previous prime is 13005103231. The next prime is 13005103277. The reversal of 13005103254 is 45230150031.

It is an interprime number because it is at equal distance from previous prime (13005103231) and next prime (13005103277).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 71904 + ... + 176579.

It is an arithmetic number, because the mean of its divisors is an integer number (485289252).

Almost surely, 213005103254 is an apocalyptic number.

13005103254 is an abundant number, since it is smaller than the sum of its proper divisors (18053408874).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13005103254 is a wasteful number, since it uses less digits than its factorization.

13005103254 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248573.

The product of its (nonzero) digits is 1800, while the sum is 24.

Adding to 13005103254 its reverse (45230150031), we get a palindrome (58235253285).

The spelling of 13005103254 in words is "thirteen billion, five million, one hundred three thousand, two hundred fifty-four".

Divisors: 1 2 3 6 11 13 22 26 33 39 61 66 78 122 143 183 286 366 429 671 793 858 1342 1586 2013 2379 4026 4758 8723 17446 26169 52338 248483 496966 745449 1490898 2733313 3230279 5466626 6460558 8199939 9690837 15157463 16399878 19381674 30314926 35533069 45472389 71066138 90944778 106599207 166732093 197047019 213198414 333464186 394094038 500196279 591141057 1000392558 1182282114 2167517209 4335034418 6502551627 13005103254