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2202112101112 = 2372111063480427
BaseRepresentation
bin100000000010111000000…
…111000000101011111000
321210112000222102101111121
4200002320013000223320
5242034411144213422
64403345240435024
7315045251006200
oct40027007005370
97715028371447
102202112101112
11779a019658a0
122b694aa78a74
1312c87331a401
147882328b400
153c436aa98c7
hex200b81c0af8

2202112101112 has 96 divisors (see below), whose sum is σ = 5244659521920. Its totient is φ = 857156852160.

The previous prime is 2202112101097. The next prime is 2202112101227. The reversal of 2202112101112 is 2111012112022.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4343443 + ... + 4823869.

It is an arithmetic number, because the mean of its divisors is an integer number (54631870020).

Almost surely, 22202112101112 is an apocalyptic number.

2202112101112 is a gapful number since it is divisible by the number (22) 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 2202112101112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2622329760960).

2202112101112 is an abundant number, since it is smaller than the sum of its proper divisors (3042547420808).

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

2202112101112 is a wasteful number, since it uses less digits than its factorization.

2202112101112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 481521 (or 481510 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 2202112101112 its reverse (2111012112022), we get a palindrome (4313124213134).

The spelling of 2202112101112 in words is "two trillion, two hundred two billion, one hundred twelve million, one hundred one thousand, one hundred twelve".

Divisors: 1 2 4 7 8 11 14 22 28 44 49 56 77 88 98 154 196 308 392 539 616 1063 1078 2126 2156 4252 4312 7441 8504 11693 14882 23386 29764 46772 52087 59528 81851 93544 104174 163702 208348 327404 416696 480427 572957 654808 960854 1145914 1921708 2291828 3362989 3843416 4583656 5284697 6725978 10569394 13451956 21138788 23540923 26903912 36992879 42277576 47081846 73985758 94163692 147971516 188327384 258950153 295943032 510693901 517900306 1021387802 1035800612 2042775604 2071601224 3574857307 4085551208 5617632911 7149714614 11235265822 14299429228 22470531644 25024001149 28598858456 39323430377 44941063288 50048002298 78646860754 100096004596 157293721508 200192009192 275264012639 314587443016 550528025278 1101056050556 2202112101112