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22031120100000 = 253551136718191
BaseRepresentation
bin1010000001001100001010…
…00101100110101010100000
32220000011011122021020100010
411000212011011212222200
510341424213221200000
6114504542402524520
74432460460015324
oct500460505465240
986004148236303
1022031120100000
117024388a45630
122579941666740
13c3a6aacaa95b
14562451c07984
1528312ee93d50
hex140985166aa0

22031120100000 has 576 divisors, whose sum is σ = 79075562840064. Its totient is φ = 5326032000000.

The previous prime is 22031120099993. The next prime is 22031120100047. The reversal of 22031120100000 is 102113022.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1211090905 + ... + 1211109095.

It is an arithmetic number, because the mean of its divisors is an integer number (137283963264).

Almost surely, 222031120100000 is an apocalyptic number.

22031120100000 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 22031120100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39537781420032).

22031120100000 is an abundant number, since it is smaller than the sum of its proper divisors (57044442740064).

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

22031120100000 is a wasteful number, since it uses less digits than its factorization.

22031120100000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18607 (or 18579 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 22031120100000 its reverse (102113022), we get a palindrome (22031222213022).

The spelling of 22031120100000 in words is "twenty-two trillion, thirty-one billion, one hundred twenty million, one hundred thousand".