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2211210110112 = 25383599463291
BaseRepresentation
bin100000001011010110011…
…001001010010010100000
321211101112000221010120220
4200023112121022102200
5242212024242010422
64411452122403040
7315516563550603
oct40132631122240
97741460833526
102211210110112
117828505086a3
122b8669960480
13130693194ba3
14790476d633a
153c7ba695e5c
hex202d664a4a0

2211210110112 has 96 divisors (see below), whose sum is σ = 5884179033600. Its totient is φ = 726972430080.

The previous prime is 2211210110089. The next prime is 2211210110173. The reversal of 2211210110112 is 2110110121122.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 2211210110091 and 2211210110100.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4541187 + ... + 5004477.

It is an arithmetic number, because the mean of its divisors is an integer number (61293531600).

Almost surely, 22211210110112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2211210110112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2942089516800).

2211210110112 is an abundant number, since it is smaller than the sum of its proper divisors (3672968923488).

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

2211210110112 is a wasteful number, since it uses less digits than its factorization.

2211210110112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 463986 (or 463978 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 2211210110112 its reverse (2110110121122), we get a palindrome (4321320231234).

The spelling of 2211210110112 in words is "two trillion, two hundred eleven billion, two hundred ten million, one hundred ten thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 83 96 166 249 332 498 599 664 996 1198 1328 1797 1992 2396 2656 3594 3984 4792 7188 7968 9584 14376 19168 28752 49717 57504 99434 149151 198868 298302 397736 463291 596604 795472 926582 1193208 1389873 1590944 1853164 2386416 2779746 3706328 4772832 5559492 7412656 11118984 14825312 22237968 38453153 44475936 76906306 115359459 153812612 230718918 277511309 307625224 461437836 555022618 615250448 832533927 922875672 1110045236 1230500896 1665067854 1845751344 2220090472 3330135708 3691502688 4440180944 6660271416 8880361888 13320542832 23033438647 26641085664 46066877294 69100315941 92133754588 138200631882 184267509176 276401263764 368535018352 552802527528 737070036704 1105605055056 2211210110112