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113535001101130 = 257291932633110059
BaseRepresentation
bin11001110100001001101101…
…011010010000001101001010
3112212222211200102202221012121
4121310021231122100031022
5104340124140240214010
61041245132013401454
732625430111224040
oct3164115532201512
9485884612687177
10113535001101130
11331a2a182a7724
1210897a1619928a
134b473c646a04b
1420071a2772390
15d1d48c7863da
hex67426d69034a

113535001101130 has 128 divisors (see below), whose sum is σ = 242957749363200. Its totient is φ = 37374724767744.

The previous prime is 113535001101083. The next prime is 113535001101133. The reversal of 113535001101130 is 31101100535311.

It is a junction number, because it is equal to n+sod(n) for n = 113535001101095 and 113535001101104.

It is not an unprimeable number, because it can be changed into a prime (113535001101133) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1031528041 + ... + 1031638099.

It is an arithmetic number, because the mean of its divisors is an integer number (1898107416900).

Almost surely, 2113535001101130 is an apocalyptic number.

113535001101130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

113535001101130 is an abundant number, since it is smaller than the sum of its proper divisors (129422748262070).

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

113535001101130 is a wasteful number, since it uses less digits than its factorization.

113535001101130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112928.

The product of its (nonzero) digits is 675, while the sum is 25.

Adding to 113535001101130 its reverse (31101100535311), we get a palindrome (144636101636441).

The spelling of 113535001101130 in words is "one hundred thirteen trillion, five hundred thirty-five billion, one million, one hundred one thousand, one hundred thirty".

Divisors: 1 2 5 7 10 14 29 35 58 70 145 193 203 290 386 406 965 1015 1351 1930 2030 2633 2702 5266 5597 6755 11194 13165 13510 18431 26330 27985 36862 39179 55970 76357 78358 92155 110059 152714 184310 195895 220118 381785 391790 508169 534499 550295 763570 770413 1016338 1068998 1100590 1540826 2540845 2672495 3191711 3557183 3852065 5081690 5344990 6383422 7114366 7704130 14736901 15958555 17785915 21241387 22341977 29473802 31917110 35571830 42482774 44683954 73684505 103158307 106206935 111709885 147369010 148689709 206316614 212413870 223419770 289785347 297379418 515791535 579570694 616000223 743448545 1031583070 1232000446 1448926735 1486897090 2028497429 2897853470 3080001115 4056994858 4312001561 6160002230 8403775063 8624003122 10142487145 16807550126 20284974290 21560007805 42018875315 43120015610 55928571971 58826425441 84037750630 111857143942 117652850882 279642859855 294132127205 391500003797 559285719710 588264254410 783000007594 1621928587159 1957500018985 3243857174318 3915000037970 8109642935795 11353500110113 16219285871590 22707000220226 56767500550565 113535001101130