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13142396900 = 22521929238519
BaseRepresentation
bin11000011110101100…
…10000111111100100
31020220220201221021202
430033112100333210
5203403423200100
610012035102032
7643452346643
oct141726207744
936826657252
1013142396900
1156345a4346
122669441918
131315a3b019
148c963535a
1551dbcd7d5
hex30f590fe4

13142396900 has 72 divisors (see below), whose sum is σ = 31055304000. Its totient is φ = 4808522880.

The previous prime is 13142396887. The next prime is 13142396963. The reversal of 13142396900 is 969324131.

It is a super-2 number, since 2×131423969002 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 64160 + ... + 174359.

Almost surely, 213142396900 is an apocalyptic number.

13142396900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13142396900 is an abundant number, since it is smaller than the sum of its proper divisors (17912907100).

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

13142396900 is a wasteful number, since it uses less digits than its factorization.

13142396900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 238581 (or 238574 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 38.

The spelling of 13142396900 in words is "thirteen billion, one hundred forty-two million, three hundred ninety-six thousand, nine hundred".

Divisors: 1 2 4 5 10 19 20 25 29 38 50 58 76 95 100 116 145 190 290 380 475 551 580 725 950 1102 1450 1900 2204 2755 2900 5510 11020 13775 27550 55100 238519 477038 954076 1192595 2385190 4531861 4770380 5962975 6917051 9063722 11925950 13834102 18127444 22659305 23851900 27668204 34585255 45318610 69170510 90637220 113296525 131423969 138341020 172926275 226593050 262847938 345852550 453186100 525695876 657119845 691705100 1314239690 2628479380 3285599225 6571198450 13142396900