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1110130002112 = 261926327112809
BaseRepresentation
bin10000001001111000111…
…001111000100011000000
310221010102212110012020011
4100021320321320203000
5121142021240031422
62205553042354304
7143130025216255
oct20117071704300
93833385405204
101110130002112
1139889249956a
1215b19835b994
13808b96b2171
143ba329cb42c
151dd24e8d077
hex10278e788c0

1110130002112 has 112 divisors (see below), whose sum is σ = 2336445619200. Its totient is φ = 521877841920.

The previous prime is 1110130002097. The next prime is 1110130002193. The reversal of 1110130002112 is 2112000310111.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 1110130002092 and 1110130002101.

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, 86661564 + ... + 86674372.

It is an arithmetic number, because the mean of its divisors is an integer number (20861121600).

Almost surely, 21110130002112 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 1110130002112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1168222809600).

1110130002112 is an abundant number, since it is smaller than the sum of its proper divisors (1226315617088).

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

1110130002112 is a wasteful number, since it uses less digits than its factorization.

1110130002112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13374 (or 13364 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 13.

Adding to 1110130002112 its reverse (2112000310111), we get a palindrome (3222130312223).

The spelling of 1110130002112 in words is "one trillion, one hundred ten billion, one hundred thirty million, two thousand, one hundred twelve".

Divisors: 1 2 4 8 16 19 32 38 64 76 152 263 271 304 526 542 608 1052 1084 1216 2104 2168 4208 4336 4997 5149 8416 8672 9994 10298 12809 16832 17344 19988 20596 25618 39976 41192 51236 71273 79952 82384 102472 142546 159904 164768 204944 243371 285092 319808 329536 409888 486742 570184 819776 973484 1140368 1354187 1946968 2280736 2708374 3368767 3471239 3893936 4561472 5416748 6737534 6942478 7787872 10833496 13475068 13884956 15575744 21666992 26950136 27769912 43333984 53900272 55539824 64006573 65953541 86667968 107800544 111079648 128013146 131907082 215601088 222159296 256026292 263814164 512052584 527628328 912935857 1024105168 1055256656 1825871714 2048210336 2110513312 3651743428 4096420672 4221026624 7303486856 14606973712 17345781283 29213947424 34691562566 58427894848 69383125132 138766250264 277532500528 555065001056 1110130002112