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113341020760 = 235113147176797
BaseRepresentation
bin110100110001110100…
…1101011101001011000
3101211112221010102020201
41221203221223221120
53324110300131020
6124022415231544
711121460531522
oct1514351535130
9354487112221
10113341020760
11440820624a0
1219b718185b4
13a8c3742576
1456b2bdaa12
152e3559ea0a
hex1a63a6ba58

113341020760 has 128 divisors (see below), whose sum is σ = 293286666240. Its totient is φ = 39036556800.

The previous prime is 113341020743. The next prime is 113341020763. The reversal of 113341020760 is 67020143311.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113341020763) 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, 552682 + ... + 729478.

It is an arithmetic number, because the mean of its divisors is an integer number (2291302080).

Almost surely, 2113341020760 is an apocalyptic number.

113341020760 is a gapful number since it is divisible by the number (10) 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 113341020760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146643333120).

113341020760 is an abundant number, since it is smaller than the sum of its proper divisors (179945645480).

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

113341020760 is a wasteful number, since it uses less digits than its factorization.

113341020760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176897 (or 176893 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 28.

The spelling of 113341020760 in words is "one hundred thirteen billion, three hundred forty-one million, twenty thousand, seven hundred sixty".

Divisors: 1 2 4 5 8 10 11 20 22 31 40 44 47 55 62 88 94 110 124 155 188 220 235 248 310 341 376 440 470 517 620 682 940 1034 1240 1364 1457 1705 1880 2068 2585 2728 2914 3410 4136 5170 5828 6820 7285 10340 11656 13640 14570 16027 20680 29140 32054 58280 64108 80135 128216 160270 176797 320540 353594 641080 707188 883985 1414376 1767970 1944767 3535940 3889534 5480707 7071880 7779068 8309459 9723835 10961414 15558136 16618918 19447670 21922828 27403535 33237836 38895340 41547295 43845656 54807070 60287777 66475672 77790680 83094590 91404049 109614140 120575554 166189180 182808098 219228280 241151108 257593229 301438885 332378360 365616196 457020245 482302216 515186458 602877770 731232392 914040490 1030372916 1205755540 1287966145 1828080980 2060745832 2411511080 2575932290 2833525519 3656161960 5151864580 5667051038 10303729160 11334102076 14167627595 22668204152 28335255190 56670510380 113341020760