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23020110313200 = 2432527111337414211
BaseRepresentation
bin1010011101111110010010…
…11111110111011011110000
310000111200221001211112121200
411032333021133313123300
511004130141220010300
6120543143115251200
74564101536100510
oct516771137673360
9100450831745550
1023020110313200
117375857158770
1226b9550449b00
13caca30303340
14598271d53840
1529dc14d86200
hex14efc97f76f0

23020110313200 has 2880 divisors, whose sum is σ = 112872269712384. Its totient is φ = 4190330880000.

The previous prime is 23020110313183. The next prime is 23020110313201. The reversal of 23020110313200 is 231301102032.

23020110313200 is a `hidden beast` number, since 2 + 302 + 0 + 1 + 10 + 31 + 320 + 0 = 666.

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 (23020110313201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 5466659095 + ... + 5466663305.

Almost surely, 223020110313200 is an apocalyptic number.

23020110313200 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 23020110313200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56436134856192).

23020110313200 is an abundant number, since it is smaller than the sum of its proper divisors (89852159399184).

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

23020110313200 is a wasteful number, since it uses less digits than its factorization.

23020110313200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4344 (or 4330 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 23020110313200 its reverse (231301102032), we get a palindrome (23251411415232).

The spelling of 23020110313200 in words is "twenty-three trillion, twenty billion, one hundred ten million, three hundred thirteen thousand, two hundred".