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13102432200 = 2332521113109467
BaseRepresentation
bin11000011001111011…
…10011111111001000
31020211010112112000200
430030331303333020
5203313210312300
610004050332200
7642455556534
oct141475637710
936733475020
1013102432200
115613a88270
122657b8a060
13130a687580
148c41d0bc4
1551a437200
hex30cf73fc8

13102432200 has 576 divisors, whose sum is σ = 52281028800. Its totient is φ = 2898892800.

The previous prime is 13102432093. The next prime is 13102432271. The reversal of 13102432200 is 223420131.

13102432200 is a `hidden beast` number, since 1 + 31 + 0 + 2 + 432 + 200 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 28056367 + ... + 28056833.

It is an arithmetic number, because the mean of its divisors is an integer number (90765675).

Almost surely, 213102432200 is an apocalyptic number.

13102432200 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 13102432200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26140514400).

13102432200 is an abundant number, since it is smaller than the sum of its proper divisors (39178596600).

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

13102432200 is a wasteful number, since it uses less digits than its factorization.

13102432200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 622 (or 610 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 13102432200 its reverse (223420131), we get a palindrome (13325852331).

The spelling of 13102432200 in words is "thirteen billion, one hundred two million, four hundred thirty-two thousand, two hundred".