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13130104200 = 2335261935353
BaseRepresentation
bin11000011101001110…
…10111110110001000
31020220001121101212120
430032213113312020
5203342301313300
610010515411240
7643243021113
oct141647276610
936801541776
1013130104200
115628668694
1226652b3b20
131313325a35
148c7b5557a
1551caa13a0
hex30e9d7d88

13130104200 has 96 divisors (see below), whose sum is σ = 40770232800. Its totient is φ = 3495605760.

The previous prime is 13130104153. The next prime is 13130104217. The reversal of 13130104200 is 240103131.

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 13130104200.

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, 353724 + ... + 389076.

It is an arithmetic number, because the mean of its divisors is an integer number (424689925).

Almost surely, 213130104200 is an apocalyptic number.

13130104200 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 13130104200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20385116400).

13130104200 is an abundant number, since it is smaller than the sum of its proper divisors (27640128600).

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

13130104200 is a wasteful number, since it uses less digits than its factorization.

13130104200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35991 (or 35982 counting only the distinct ones).

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

Adding to 13130104200 its reverse (240103131), we get a palindrome (13370207331).

The spelling of 13130104200 in words is "thirteen billion, one hundred thirty million, one hundred four thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 300 600 619 1238 1857 2476 3095 3714 4952 6190 7428 9285 12380 14856 15475 18570 24760 30950 35353 37140 46425 61900 70706 74280 92850 106059 123800 141412 176765 185700 212118 282824 353530 371400 424236 530295 707060 848472 883825 1060590 1414120 1767650 2121180 2651475 3535300 4242360 5302950 7070600 10605900 21211800 21883507 43767014 65650521 87534028 109417535 131301042 175068056 218835070 262602084 328252605 437670140 525204168 547087675 656505210 875340280 1094175350 1313010420 1641263025 2188350700 2626020840 3282526050 4376701400 6565052100 13130104200