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23001113113200 = 243252591016591627
BaseRepresentation
bin1010011101011010111010…
…01011010011001001110000
310000102212220010020210100200
411032231131023103021300
511003322234424110300
6120530322051315200
74562530011415665
oct516553513231160
9100385803223320
1023001113113200
117368798795182
1226b592a2abb00
13caacc36061b1
1459738cd07a6c
1529d4a21a1200
hex14eb5d2d3270

23001113113200 has 720 divisors, whose sum is σ = 82151689276800. Its totient is φ = 5957247744000.

The previous prime is 23001113113183. The next prime is 23001113113201. The reversal of 23001113113200 is 231131110032.

23001113113200 is a `hidden beast` number, since 2 + 30 + 0 + 1 + 1 + 1 + 311 + 320 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23001113113201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 14137130787 + ... + 14137132413.

It is an arithmetic number, because the mean of its divisors is an integer number (114099568440).

Almost surely, 223001113113200 is an apocalyptic number.

23001113113200 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 23001113113200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41075844638400).

23001113113200 is an abundant number, since it is smaller than the sum of its proper divisors (59150576163600).

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

23001113113200 is a wasteful number, since it uses less digits than its factorization.

23001113113200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2470 (or 2456 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 23001113113200 its reverse (231131110032), we get a palindrome (23232244223232).

The spelling of 23001113113200 in words is "twenty-three trillion, one billion, one hundred thirteen million, one hundred thirteen thousand, two hundred".