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230113300200 = 233527283181521
BaseRepresentation
bin1101011001001111010…
…0100100111011101000
3210222221222202211112020
43112103310210323220
512232233001101300
6253413530344440
722424264531100
oct3262364447350
9728858684466
10230113300200
1189654a60363
123872058b120
13189130037c4
14b1cd5c0200
155ebbecd8a0
hex3593d24ee8

230113300200 has 576 divisors, whose sum is σ = 846075222720. Its totient is φ = 51577344000.

The previous prime is 230113300181. The next prime is 230113300201. The reversal of 230113300200 is 2003311032.

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 230113300200.

It is not an unprimeable number, because it can be changed into a prime (230113300201) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 441675940 + ... + 441676460.

It is an arithmetic number, because the mean of its divisors is an integer number (1468880595).

Almost surely, 2230113300200 is an apocalyptic number.

230113300200 is a gapful number since it is divisible by the number (20) 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 230113300200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (423037611360).

230113300200 is an abundant number, since it is smaller than the sum of its proper divisors (615961922520).

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

230113300200 is a wasteful number, since it uses less digits than its factorization.

230113300200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 818 (or 802 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

Adding to 230113300200 its reverse (2003311032), we get a palindrome (232116611232).

The spelling of 230113300200 in words is "two hundred thirty billion, one hundred thirteen million, three hundred thousand, two hundred".