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110110000374 = 233111311579013
BaseRepresentation
bin110011010001100010…
…0010100010011110110
3101112012202101120112000
41212203010110103312
53301001130002444
6122330035240130
710645425363153
oct1464304242366
9345182346460
10110110000374
1142774252010
121940b749046
13a4ca23249a
145487a5922a
152ce6ac5469
hex19a31144f6

110110000374 has 128 divisors (see below), whose sum is σ = 270714216960. Its totient is φ = 32897404800.

The previous prime is 110110000349. The next prime is 110110000391. The reversal of 110110000374 is 473000011011.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12212292 + ... + 12221304.

It is an arithmetic number, because the mean of its divisors is an integer number (2114954820).

Almost surely, 2110110000374 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 110110000374, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135357108480).

110110000374 is an abundant number, since it is smaller than the sum of its proper divisors (160604216586).

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

110110000374 is a wasteful number, since it uses less digits than its factorization.

110110000374 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9323 (or 9317 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 18.

Adding to 110110000374 its reverse (473000011011), we get a palindrome (583110011385).

The spelling of 110110000374 in words is "one hundred ten billion, one hundred ten million, three hundred seventy-four", and thus it is an aban number.

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 99 131 157 198 262 297 314 393 471 594 786 942 1179 1413 1441 1727 2358 2826 2882 3454 3537 4239 4323 5181 7074 8478 8646 9013 10362 12969 15543 18026 20567 25938 27039 31086 38907 41134 46629 54078 61701 77814 81117 93258 99143 123402 162234 185103 198286 226237 243351 297429 370206 452474 486702 555309 594858 678711 892287 1110618 1180703 1357422 1415041 1784574 2036133 2361406 2676861 2830082 3542109 4072266 4245123 5353722 6108399 7084218 8490246 10626327 12216798 12735369 12987733 15565451 21252654 25470738 25975466 31130902 31878981 38206107 38963199 46696353 63757962 76412214 77926398 93392706 116889597 140089059 185370371 233779194 280178118 350668791 370740742 420267177 556111113 701337582 840534354 1112222226 1668333339 2039074081 3336666678 4078148162 5005000017 6117222243 10010000034 12234444486 18351666729 36703333458 55055000187 110110000374