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23002000102120 = 23513267277183343
BaseRepresentation
bin1010011101011100100100…
…00010111001001011101000
310000102222011221021111102011
411032232102002321023220
511003331044011231440
6120530550054445304
74562561001614344
oct516562202711350
9100388157244364
1023002000102120
117369103440076
1226b5b37363834
13cab1052c5600
14597434a38624
1529d504eac9ea
hex14eb920b92e8

23002000102120 has 192 divisors, whose sum is σ = 57083949054720. Its totient is φ = 8336035648512.

The previous prime is 23002000102111. The next prime is 23002000102259. The reversal of 23002000102120 is 2120100020032.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a self number, because there is not a number n which added to its sum of digits gives 23002000102120.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 125367169 + ... + 125550511.

It is an arithmetic number, because the mean of its divisors is an integer number (297312234660).

Almost surely, 223002000102120 is an apocalyptic number.

23002000102120 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 23002000102120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28541974527360).

23002000102120 is an abundant number, since it is smaller than the sum of its proper divisors (34081948952600).

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

23002000102120 is a wasteful number, since it uses less digits than its factorization.

23002000102120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183724 (or 183707 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

Adding to 23002000102120 its reverse (2120100020032), we get a palindrome (25122100122152).

The spelling of 23002000102120 in words is "twenty-three trillion, two billion, one hundred two thousand, one hundred twenty".