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13213002001200 = 24352109310073957
BaseRepresentation
bin1100000001000110010001…
…0010100110101100110000
31201210011001211100022100220
43000101210102212230300
53212440212003014300
644033545212413040
72532415335626421
oct300214422465460
951704054308326
1013213002001200
11423466a192931
121594927777180
1374ac998ca111
14339726c33648
1517da79305da0
hexc04644a6b30

13213002001200 has 120 divisors (see below), whose sum is σ = 42364378239888. Its totient is φ = 3520243184640.

The previous prime is 13213002001117. The next prime is 13213002001237. The reversal of 13213002001200 is 210020031231.

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

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 13213002001200.

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, 3725379 + ... + 6348578.

Almost surely, 213213002001200 is an apocalyptic number.

13213002001200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13213002001200 is an abundant number, since it is smaller than the sum of its proper divisors (29151376238688).

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

13213002001200 is a wasteful number, since it uses less digits than its factorization.

13213002001200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10075071 (or 10075060 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 13213002001200 its reverse (210020031231), we get a palindrome (13423022032431).

The spelling of 13213002001200 in words is "thirteen trillion, two hundred thirteen billion, two million, one 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 1093 1200 2186 3279 4372 5465 6558 8744 10930 13116 16395 17488 21860 26232 27325 32790 43720 52464 54650 65580 81975 87440 109300 131160 163950 218600 262320 327900 437200 655800 1311600 10073957 20147914 30221871 40295828 50369785 60443742 80591656 100739570 120887484 151109355 161183312 201479140 241774968 251848925 302218710 402958280 483549936 503697850 604437420 755546775 805916560 1007395700 1208874840 1511093550 2014791400 2417749680 3022187100 4029582800 6044374200 11010835001 12088748400 22021670002 33032505003 44043340004 55054175005 66065010006 88086680008 110108350010 132130020012 165162525015 176173360016 220216700020 264260040024 275270875025 330325050030 440433400040 528520080048 550541750050 660650100060 825812625075 880866800080 1101083500100 1321300200120 1651625250150 2202167000200 2642600400240 3303250500300 4404334000400 6606501000600 13213002001200