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113030636560 = 24553113269877
BaseRepresentation
bin110100101000100100…
…1101010010000010000
3101210202022002021011121
41221101021222100100
53322441320332220
6123531530452024
711111001362362
oct1512111522020
9353668067147
10113030636560
1143a32936226
1219aa5894014
13a87434a08a
1456838c2d32
152e181ddeaa
hex1a5126a410

113030636560 has 160 divisors (see below), whose sum is σ = 271437492960. Its totient is φ = 43753242624.

The previous prime is 113030636557. The next prime is 113030636573. The reversal of 113030636560 is 65636030311.

113030636560 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 16 ways, for example, as 52483144464 + 60547492096 = 229092^2 + 246064^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 128882842 + ... + 128883718.

It is an arithmetic number, because the mean of its divisors is an integer number (1696484331).

Almost surely, 2113030636560 is an apocalyptic number.

113030636560 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 113030636560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135718746480).

113030636560 is an abundant number, since it is smaller than the sum of its proper divisors (158406856400).

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

113030636560 is a wasteful number, since it uses less digits than its factorization.

113030636560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1325 (or 1319 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 34.

Adding to 113030636560 its reverse (65636030311), we get a palindrome (178666666871).

The spelling of 113030636560 in words is "one hundred thirteen billion, thirty million, six hundred thirty-six thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 40 53 80 106 113 212 226 265 269 424 452 530 538 565 848 877 904 1060 1076 1130 1345 1754 1808 2120 2152 2260 2690 3508 4240 4304 4385 4520 5380 5989 7016 8770 9040 10760 11978 14032 14257 17540 21520 23956 28514 29945 30397 35080 46481 47912 57028 59890 60794 70160 71285 92962 95824 99101 114056 119780 121588 142570 151985 185924 198202 228112 232405 235913 239560 243176 285140 303970 371848 396404 464810 471826 479120 486352 495505 570280 607940 743696 792808 929620 943652 991010 1140560 1179565 1215880 1585616 1611041 1859240 1887304 1982020 2359130 2431760 3222082 3718480 3774608 3964040 4718260 5252353 6444164 7928080 8055205 9436520 10504706 12503389 12888328 16110410 18873040 21009412 25006778 25776656 26261765 26658169 32220820 42018824 50013556 52523530 53316338 62516945 64441640 84037648 100027112 105047060 106632676 125033890 128883280 133290845 200054224 210094120 213265352 250067780 266581690 420188240 426530704 500135560 533163380 1000271120 1066326760 1412882957 2132653520 2825765914 5651531828 7064414785 11303063656 14128829570 22606127312 28257659140 56515318280 113030636560