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110982103092 = 223277950311083
BaseRepresentation
bin110011101011100001…
…1001000000000110100
3101121110112101222112200
41213113003020000310
53304242404244332
6122552351344500
711006145211530
oct1472703100064
9347415358480
10110982103092
114308155a763
1219613822130
13a608b0bcb3
14552b7d2bc0
152d4844117c
hex19d70c8034

110982103092 has 144 divisors (see below), whose sum is σ = 325348208640. Its totient is φ = 31242729024.

The previous prime is 110982103039. The next prime is 110982103093. The reversal of 110982103092 is 290301289011.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110982103093) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10008183 + ... + 10019265.

It is an arithmetic number, because the mean of its divisors is an integer number (2259362560).

Almost surely, 2110982103092 is an apocalyptic number.

110982103092 is a gapful number since it is divisible by the number (12) 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 110982103092, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162674104320).

110982103092 is an abundant number, since it is smaller than the sum of its proper divisors (214366105548).

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

110982103092 is a wasteful number, since it uses less digits than its factorization.

110982103092 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11682 (or 11677 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 36.

The spelling of 110982103092 in words is "one hundred ten billion, nine hundred eighty-two million, one hundred three thousand, ninety-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 79 84 126 158 237 252 316 474 503 553 711 948 1006 1106 1422 1509 1659 2012 2212 2844 3018 3318 3521 4527 4977 6036 6636 7042 9054 9954 10563 11083 14084 18108 19908 21126 22166 31689 33249 39737 42252 44332 63378 66498 77581 79474 99747 119211 126756 132996 155162 158948 199494 232743 238422 278159 310324 357633 398988 465486 476844 556318 698229 715266 834477 875557 930972 1112636 1396458 1430532 1668954 1751114 2503431 2626671 2792916 3337908 3502228 5006862 5253342 5574749 6128899 7880013 10013724 10506684 11149498 12257798 15760026 16724247 18386697 22298996 24515596 31520052 33448494 36773394 39023243 50172741 55160091 66896988 73546788 78046486 100345482 110320182 117069729 156092972 200690964 220640364 234139458 351209187 440405171 468278916 702418374 880810342 1321215513 1404836748 1761620684 2642431026 3082836197 3963646539 5284862052 6165672394 7927293078 9248508591 12331344788 15854586156 18497017182 27745525773 36994034364 55491051546 110982103092