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23380415100 = 223652745817
BaseRepresentation
bin10101110001100101…
…001101001001111100
32020100102101011000000
4111301211031021330
5340340341240400
614424003234300
71455250151340
oct256145151174
966312334000
1023380415100
119a086a8a09
124646078990
132287b34263
1411bb235620
1591c905600
hex57194d27c

23380415100 has 252 divisors, whose sum is σ = 86937272464. Its totient is φ = 5343978240.

The previous prime is 23380415053. The next prime is 23380415111. The reversal of 23380415100 is 151408332.

It is a happy number.

23380415100 is a `hidden beast` number, since 2 + 33 + 80 + 41 + 510 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (252).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 487392 + ... + 533208.

Almost surely, 223380415100 is an apocalyptic number.

23380415100 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 23380415100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43468636232).

23380415100 is an abundant number, since it is smaller than the sum of its proper divisors (63556857364).

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

23380415100 is a wasteful number, since it uses less digits than its factorization.

23380415100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45856 (or 45834 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The spelling of 23380415100 in words is "twenty-three billion, three hundred eighty million, four hundred fifteen thousand, one hundred".