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10023122122200 = 233252115915156821
BaseRepresentation
bin1001000111011011000010…
…1000100011010111011000
31022111012102121120202120200
42101312300220203113120
52303204323230402300
633152320404222200
72053101211214265
oct221666050432730
938435377522520
1010023122122200
113214867154720
12115a66b39a960
1357923a605535
1426919bd2a26c
15125aced27200
hex91db0a235d8

10023122122200 has 576 divisors, whose sum is σ = 37591435065600. Its totient is φ = 2372803200000.

The previous prime is 10023122122199. The next prime is 10023122122207. The reversal of 10023122122200 is 222122132001.

10023122122200 is a `hidden beast` number, since 1 + 0 + 0 + 231 + 2 + 212 + 220 + 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 (10023122122207) 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, 176369790 + ... + 176426610.

It is an arithmetic number, because the mean of its divisors is an integer number (65262908100).

Almost surely, 210023122122200 is an apocalyptic number.

10023122122200 is a gapful number since it is divisible by the number (10) 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 10023122122200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18795717532800).

10023122122200 is an abundant number, since it is smaller than the sum of its proper divisors (27568312943400).

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

10023122122200 is a wasteful number, since it uses less digits than its factorization.

10023122122200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57064 (or 57052 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 10023122122200 its reverse (222122132001), we get a palindrome (10245244254201).

The spelling of 10023122122200 in words is "ten trillion, twenty-three billion, one hundred twenty-two million, one hundred twenty-two thousand, two hundred".