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13102032313200 = 2435211821923641
BaseRepresentation
bin1011111010101000110111…
…1110110101101101110000
31201101112122011022002010110
42332222031332311231300
53204130430233010300
643510553543101320
72521406401063305
oct276521576655560
951345564262113
1013102032313200
1141a15a4742886
121577318141840
1374069354703c
143341dad530ac
1517ac32018550
hexbea8dfb5b70

13102032313200 has 120 divisors (see below), whose sum is σ = 41973772763056. Its totient is φ = 3493575936000.

The previous prime is 13102032313199. The next prime is 13102032313219. The reversal of 13102032313200 is 231323020131.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×131020323132002 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

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, 13723380 + ... + 14647020.

Almost surely, 213102032313200 is an apocalyptic number.

13102032313200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13102032313200 is an abundant number, since it is smaller than the sum of its proper divisors (28871740449856).

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

13102032313200 is a wasteful number, since it uses less digits than its factorization.

13102032313200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 935483 (or 935472 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 13102032313200 its reverse (231323020131), we get a palindrome (13333355333331).

The spelling of 13102032313200 in words is "thirteen trillion, one hundred two billion, thirty-two million, three hundred thirteen thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 150 200 240 300 400 600 1200 11821 23642 35463 47284 59105 70926 94568 118210 141852 177315 189136 236420 283704 295525 354630 472840 567408 591050 709260 886575 923641 945680 1182100 1418520 1773150 1847282 2364200 2770923 2837040 3546300 3694564 4618205 4728400 5541846 7092600 7389128 9236410 11083692 13854615 14185200 14778256 18472820 22167384 23091025 27709230 36945640 44334768 46182050 55418460 69273075 73891280 92364100 110836920 138546150 184728200 221673840 277092300 369456400 554184600 1108369200 10918360261 21836720522 32755080783 43673441044 54591801305 65510161566 87346882088 109183602610 131020323132 163775403915 174693764176 218367205220 262040646264 272959006525 327550807830 436734410440 524081292528 545918013050 655101615660 818877019575 873468820880 1091836026100 1310203231320 1637754039150 2183672052200 2620406462640 3275508078300 4367344104400 6551016156600 13102032313200