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13531104200 = 2352297929531
BaseRepresentation
bin11001001101000010…
…00100001111001000
31021221000011022110102
430212201010033020
5210202430313300
610114402304532
7656212326245
oct144641041710
937830138412
1013531104200
115813a56949
122757658148
131378427543
149250da5cc
15542db10d5
hex3268443c8

13531104200 has 96 divisors (see below), whose sum is σ = 32957712000. Its totient is φ = 5159481600.

The previous prime is 13531104179. The next prime is 13531104211. The reversal of 13531104200 is 240113531.

It is a Harshad number since it is a multiple of its sum of digits (20).

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 23 ways as a sum of consecutive naturals, for example, 443435 + ... + 472965.

It is an arithmetic number, because the mean of its divisors is an integer number (343309500).

Almost surely, 213531104200 is an apocalyptic number.

13531104200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13531104200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16478856000).

13531104200 is an abundant number, since it is smaller than the sum of its proper divisors (19426607800).

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

13531104200 is a wasteful number, since it uses less digits than its factorization.

13531104200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29655 (or 29646 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 20.

Adding to 13531104200 its reverse (240113531), we get a palindrome (13771217731).

The spelling of 13531104200 in words is "thirteen billion, five hundred thirty-one million, one hundred four thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 29 40 50 58 79 100 116 145 158 200 232 290 316 395 580 632 725 790 1160 1450 1580 1975 2291 2900 3160 3950 4582 5800 7900 9164 11455 15800 18328 22910 29531 45820 57275 59062 91640 114550 118124 147655 229100 236248 295310 458200 590620 738275 856399 1181240 1476550 1712798 2332949 2953100 3425596 4281995 4665898 5906200 6851192 8563990 9331796 11664745 17127980 18663592 21409975 23329490 34255960 42819950 46658980 58323725 67655521 85639900 93317960 116647450 135311042 171279800 233294900 270622084 338277605 466589800 541244168 676555210 1353110420 1691388025 2706220840 3382776050 6765552100 13531104200