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113122013123130 = 235111632671787357
BaseRepresentation
bin11001101110001001000101…
…011010001001001000111010
3112211112100200121000220211120
4121232021011122021020322
5104311342340324420010
61040331311352010110
732553536640305664
oct3156110532111072
9484470617026746
10113122013123130
113305385a361210
121082b979390936
134b1748b0a902b
141dd11c5693534
15d1286aa12e70
hex66e24568923a

113122013123130 has 128 divisors (see below), whose sum is σ = 298102960336896. Its totient is φ = 27245037139200.

The previous prime is 113122013123083. The next prime is 113122013123137. The reversal of 113122013123130 is 31321310221311.

It is a self number, because there is not a number n which added to its sum of digits gives 113122013123130.

It is not an unprimeable number, because it can be changed into a prime (113122013123137) 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, 143279412 + ... + 144066768.

It is an arithmetic number, because the mean of its divisors is an integer number (2328929377632).

Almost surely, 2113122013123130 is an apocalyptic number.

113122013123130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 113122013123130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149051480168448).

113122013123130 is an abundant number, since it is smaller than the sum of its proper divisors (184980947213766).

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

113122013123130 is a wasteful number, since it uses less digits than its factorization.

113122013123130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 790212.

The product of its (nonzero) digits is 648, while the sum is 24.

Adding to 113122013123130 its reverse (31321310221311), we get a palindrome (144443323344441).

The spelling of 113122013123130 in words is "one hundred thirteen trillion, one hundred twenty-two billion, thirteen million, one hundred twenty-three thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 110 163 165 326 330 489 815 978 1630 1793 2445 2671 3586 4890 5342 5379 8013 8965 10758 13355 16026 17930 26710 26895 29381 40065 53790 58762 80130 88143 146905 176286 293810 435373 440715 787357 870746 881430 1306119 1574714 2176865 2362071 2612238 3936785 4353730 4724142 4789103 6530595 7873570 8660927 9578206 11810355 13061190 14367309 17321854 23620710 23945515 25982781 28734618 43304635 47891030 51965562 71836545 86609270 128339191 129913905 143673090 256678382 259827810 385017573 641695955 770035146 1283391910 1411731101 1925087865 2103030547 2823462202 3850175730 4206061094 4235193303 6309091641 7058655505 8470386606 10515152735 12618183282 14117311010 21030305470 21175966515 23133336017 31545458205 42351933030 46266672034 63090916410 69400008051 115666680085 138800016102 231333360170 342793979161 347000040255 685587958322 694000080510 1028381937483 1713969895805 2056763874966 3427939791610 3770733770771 5141909687415 7541467541542 10283819374830 11312201312313 18853668853855 22624402624626 37707337707710 56561006561565 113122013123130