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110561100050104 = 231137411988941641
BaseRepresentation
bin11001001000111000000011…
…000110000010111010111000
3112111110112112011021122011021
4121020320003012002322320
5103442413113103100404
61031051022421112224
732200530061326124
oct3110700306027270
9474415464248137
10110561100050104
1132256776724670
1210497594858674
13498cb36a46b22
141d43285b6a584
15cbae3443e454
hex648e03182eb8

110561100050104 has 128 divisors (see below), whose sum is σ = 237942354686400. Its totient is φ = 47700652032000.

The previous prime is 110561100050101. The next prime is 110561100050111. The reversal of 110561100050104 is 401050001165011.

It is a super-2 number, since 2×1105611000501042 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110561100050101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2655081124 + ... + 2655122764.

Almost surely, 2110561100050104 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 110561100050104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118971177343200).

110561100050104 is an abundant number, since it is smaller than the sum of its proper divisors (127381254636296).

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

110561100050104 is a wasteful number, since it uses less digits than its factorization.

110561100050104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61625 (or 61621 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 25.

The spelling of 110561100050104 in words is "one hundred ten trillion, five hundred sixty-one billion, one hundred million, fifty thousand, one hundred four".

Divisors: 1 2 4 8 11 22 37 41 44 74 82 88 148 164 296 328 407 451 814 902 1517 1628 1804 3034 3256 3608 6068 12136 16687 19889 33374 39778 41641 66748 79556 83282 133496 159112 166564 218779 333128 437558 458051 735893 815449 875116 916102 1471786 1540717 1630898 1707281 1750232 1832204 2943572 3081434 3261796 3414562 3664408 5887144 6162868 6523592 6829124 8094823 8969939 12325736 13658248 16189646 16947887 17939878 18780091 30171613 32379292 33895774 35879756 37560182 60343226 63169397 64758584 67791548 71759512 75120364 120686452 126338794 135583096 150240728 241372904 252677588 331887743 505355176 663775486 694863367 828197849 1327550972 1389726734 1656395698 2655101944 2779453468 3312791396 5558906936 6625582792 9110176339 18220352678 30643320413 33956111809 36440705356 61286640826 67912223618 72881410712 122573281652 135824447236 245146563304 271648894472 337076524543 373517229899 674153049086 747034459798 1256376136933 1348306098172 1494068919596 2512752273866 2696612196344 2988137839192 5025504547732 10051009095464 13820137506263 27640275012526 55280550025052 110561100050104