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110514661136 = 24112991923561
BaseRepresentation
bin110011011101100101…
…1111110011100010000
3101120020221211110201122
41212323023332130100
53302313223124021
6122434132421412
710661441056145
oct1467313763420
9346227743648
10110514661136
11429617106a0
1219503177868
13a563016319
1454c56b43cc
152d1c3a9bab
hex19bb2fe710

110514661136 has 80 divisors (see below), whose sum is σ = 241915766400. Its totient is φ = 48446899200.

The previous prime is 110514661111. The next prime is 110514661193. The reversal of 110514661136 is 631166415011.

It is a junction number, because it is equal to n+sod(n) for n = 110514661096 and 110514661105.

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, 4678796 + ... + 4702356.

It is an arithmetic number, because the mean of its divisors is an integer number (3023947080).

Almost surely, 2110514661136 is an apocalyptic number.

110514661136 is a gapful number since it is divisible by the number (16) 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 110514661136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120957883200).

110514661136 is an abundant number, since it is smaller than the sum of its proper divisors (131401105264).

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

110514661136 is a wasteful number, since it uses less digits than its factorization.

110514661136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24528 (or 24522 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 35.

The spelling of 110514661136 in words is "one hundred ten billion, five hundred fourteen million, six hundred sixty-one thousand, one hundred thirty-six".

Divisors: 1 2 4 8 11 16 22 29 44 58 88 116 176 232 319 464 638 919 1276 1838 2552 3676 5104 7352 10109 14704 20218 23561 26651 40436 47122 53302 80872 94244 106604 161744 188488 213208 259171 293161 376976 426416 518342 586322 683269 1036684 1172644 1366538 2073368 2345288 2733076 4146736 4690576 5466152 7515959 10932304 15031918 21652559 30063836 43305118 60127672 86610236 120255344 173220472 238178149 346440944 476356298 627924211 952712596 1255848422 1905425192 2511696844 3810850384 5023393688 6907166321 10046787376 13814332642 27628665284 55257330568 110514661136