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113045541024 = 25313143363211
BaseRepresentation
bin110100101001000001…
…0100001000010100000
3101210210100010111020210
41221102002201002200
53323004124303044
6123533222134120
711111242146543
oct1512202410240
9353710114223
10113045541024
1143a40296169
1219aaa881340
13a8774680a0
14568588285a
152e196851b9
hex1a520a10a0

113045541024 has 96 divisors (see below), whose sum is σ = 319799116224. Its totient is φ = 34758420480.

The previous prime is 113045540941. The next prime is 113045541031. The reversal of 113045541024 is 420145540311.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-3 number, since 3×1130455410243 (a number of 34 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 113045540982 and 113045541000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1756779 + ... + 1819989.

It is an arithmetic number, because the mean of its divisors is an integer number (3331240794).

Almost surely, 2113045541024 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 113045541024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159899558112).

113045541024 is an abundant number, since it is smaller than the sum of its proper divisors (206753575200).

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

113045541024 is a wasteful number, since it uses less digits than its factorization.

113045541024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64670 (or 64662 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

The spelling of 113045541024 in words is "one hundred thirteen billion, forty-five million, five hundred forty-one thousand, twenty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 156 208 312 416 624 1248 1433 2866 4299 5732 8598 11464 17196 18629 22928 34392 37258 45856 55887 63211 68784 74516 111774 126422 137568 149032 189633 223548 252844 298064 379266 447096 505688 596128 758532 821743 894192 1011376 1517064 1643486 1788384 2022752 2465229 3034128 3286972 4930458 6068256 6573944 9860916 13147888 19721832 26295776 39443664 78887328 90581363 181162726 271744089 362325452 543488178 724650904 1086976356 1177557719 1449301808 2173952712 2355115438 2898603616 3532673157 4347905424 4710230876 7065346314 8695810848 9420461752 14130692628 18840923504 28261385256 37681847008 56522770512 113045541024