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13111552300 = 22527311193159
BaseRepresentation
bin11000011011000001…
…00110100100101100
31020211202200212110011
430031200212210230
5203323024133200
610005014023004
7642626233000
oct141540464454
936752625404
1013111552300
115619147340
12265b047a64
13130c52b792
148c54c6700
1551b1395ba
hex30d82692c

13111552300 has 576 divisors, whose sum is σ = 39997440000. Its totient is φ = 3683232000.

The previous prime is 13111552283. The next prime is 13111552301. The reversal of 13111552300 is 325511131.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (13111552301) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 222229671 + ... + 222229729.

It is an arithmetic number, because the mean of its divisors is an integer number (69440000).

Almost surely, 213111552300 is an apocalyptic number.

13111552300 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 13111552300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19998720000).

13111552300 is an abundant number, since it is smaller than the sum of its proper divisors (26885887700).

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

13111552300 is a wasteful number, since it uses less digits than its factorization.

13111552300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 450, while the sum is 22.

The spelling of 13111552300 in words is "thirteen billion, one hundred eleven million, five hundred fifty-two thousand, three hundred".