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13102423200 = 2532521819781
BaseRepresentation
bin11000011001111011…
…10001110010100000
31020211010112001200100
430030331301302200
5203313210020300
610004050222400
7642455521356
oct141475616240
936733461610
1013102423200
115613a81529
122657b84a00
13130a683449
148c41cb7d6
1551a434700
hex30cf71ca0

13102423200 has 108 divisors (see below), whose sum is σ = 46202445198. Its totient is φ = 3493977600.

The previous prime is 13102423189. The next prime is 13102423207. The reversal of 13102423200 is 232420131.

It can be written as a sum of positive squares in 3 ways, for example, as 9431517456 + 3670905744 = 97116^2 + 60588^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (13102423207) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 902691 + ... + 917090.

Almost surely, 213102423200 is an apocalyptic number.

13102423200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13102423200 is an abundant number, since it is smaller than the sum of its proper divisors (33100021998).

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

13102423200 is a wasteful number, since it uses less digits than its factorization.

13102423200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1819807 (or 1819791 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 13102423200 its reverse (232420131), we get a palindrome (13334843331).

The spelling of 13102423200 in words is "thirteen billion, one hundred two million, four hundred twenty-three thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 30 32 36 40 45 48 50 60 72 75 80 90 96 100 120 144 150 160 180 200 225 240 288 300 360 400 450 480 600 720 800 900 1200 1440 1800 2400 3600 7200 1819781 3639562 5459343 7279124 9098905 10918686 14558248 16378029 18197810 21837372 27296715 29116496 32756058 36395620 43674744 45494525 54593430 58232992 65512116 72791240 81890145 87349488 90989050 109186860 131024232 136483575 145582480 163780290 174698976 181978100 218373720 262048464 272967150 291164960 327560580 363956200 409450725 436747440 524096928 545934300 655121160 727912400 818901450 873494880 1091868600 1310242320 1455824800 1637802900 2183737200 2620484640 3275605800 4367474400 6551211600 13102423200