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22100021022120 = 23357112730766529
BaseRepresentation
bin1010000011001100011111…
…11001110000110110101000
32220020202000110111201210120
411001212033321300312220
510344041320340201440
6115000335352443240
74440450060132306
oct501461771606650
986222013451716
1022100021022120
1170506257a2178
12258b1703a9520
13c4403b808262
1456590a881276
15284d13d51dd0
hex14198fe70da8

22100021022120 has 256 divisors, whose sum is σ = 67985016422400. Its totient is φ = 5745719992320.

The previous prime is 22100021022119. The next prime is 22100021022161. The reversal of 22100021022120 is 2122012000122.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 22100021022120.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 332153016 + ... + 332219544.

It is an arithmetic number, because the mean of its divisors is an integer number (265566470400).

Almost surely, 222100021022120 is an apocalyptic number.

22100021022120 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 22100021022120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33992508211200).

22100021022120 is an abundant number, since it is smaller than the sum of its proper divisors (45884995400280).

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

22100021022120 is a wasteful number, since it uses less digits than its factorization.

22100021022120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67048 (or 67044 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 22100021022120 its reverse (2122012000122), we get a palindrome (24222033022242).

The spelling of 22100021022120 in words is "twenty-two trillion, one hundred billion, twenty-one million, twenty-two thousand, one hundred twenty".