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110002112002002 = 231117101990198041
BaseRepresentation
bin11001000000101111011100…
…110011110111011111010010
3112102111002200022122121012110
4121000233130303313133102
5103404233311133031002
61025542134515210150
732112250611322023
oct3100573463673722
9472432608577173
10110002112002002
11320606a75265a0
12104071908a6956
13494c201a0219c
141d241b8632c4a
15cab619d4ae6c
hex640bdccf77d2

110002112002002 has 128 divisors (see below), whose sum is σ = 256667129139456. Its totient is φ = 31059072000000.

The previous prime is 110002112001953. The next prime is 110002112002037. The reversal of 110002112002002 is 200200211200011.

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, 1121952102 + ... + 1122050142.

It is an arithmetic number, because the mean of its divisors is an integer number (2005211946402).

Almost surely, 2110002112002002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 110002112002002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128333564569728).

110002112002002 is an abundant number, since it is smaller than the sum of its proper divisors (146665017137454).

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

110002112002002 is a wasteful number, since it uses less digits than its factorization.

110002112002002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108076.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 110002112002002 its reverse (200200211200011), we get a palindrome (310202323202013).

The spelling of 110002112002002 in words is "one hundred ten trillion, two billion, one hundred twelve million, two thousand, two".

Divisors: 1 2 3 6 11 17 22 33 34 51 66 101 102 187 202 303 374 561 606 1111 1122 1717 2222 3333 3434 5151 6666 9901 10302 18887 19802 29703 37774 56661 59406 98041 108911 113322 168317 196082 217822 294123 326733 336634 504951 588246 653466 1000001 1009902 1078451 1666697 1851487 2000002 2156902 3000003 3235353 3333394 3702974 5000091 5554461 6000006 6470706 9902141 10000182 11000011 11108922 17000017 18333667 19804282 22000022 29706423 33000033 34000034 36667334 51000051 55001001 59412846 66000066 102000102 108923551 110002002 168336397 187000187 217847102 326770653 336672794 374000374 505009191 561000561 653541306 970703941 1010018382 1122001122 1851700367 1941407882 2912111823 3703400734 5555101101 5824223646 10677743351 11110202202 16501966997 21355486702 32033230053 33003933994 49505900991 64066460106 98041098041 99011801982 181521636967 196082196082 294123294123 363043273934 544564910901 588246588246 1078452078451 1089129821802 1666698666697 2156904156902 3235356235353 3333397333394 5000096000091 6470712470706 10000192000182 18333685333667 36667370667334 55001056001001 110002112002002