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113023133113000 = 23531143613235591
BaseRepresentation
bin11001101100101100111111…
…101100110101101010101000
3112211011220110110211221212011
4121230230333230311222220
5104303232334034104000
61040214035514125304
732543436413141035
oct3154547754655250
9484156413757764
10113023133113000
1133015929154080
1210814782720834
134b0b060628bb6
141dca4c529638c
15d0eececac2ba
hex66cb3fb35aa8

113023133113000 has 128 divisors (see below), whose sum is σ = 288525074423040. Its totient is φ = 41098204320000.

The previous prime is 113023133112997. The next prime is 113023133113001. The reversal of 113023133113000 is 311331320311.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (113023133113001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 479625205 + ... + 479860795.

It is an arithmetic number, because the mean of its divisors is an integer number (2254102143930).

Almost surely, 2113023133113000 is an apocalyptic number.

113023133113000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

113023133113000 is an abundant number, since it is smaller than the sum of its proper divisors (175501941310040).

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

113023133113000 is a wasteful number, since it uses less digits than its factorization.

113023133113000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 279236 (or 279222 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 22.

Adding to 113023133113000 its reverse (311331320311), we get a palindrome (113334464433311).

The spelling of 113023133113000 in words is "one hundred thirteen trillion, twenty-three billion, one hundred thirty-three million, one hundred thirteen thousand".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 125 200 220 250 275 440 500 550 1000 1100 1375 2200 2750 5500 11000 43613 87226 174452 218065 235591 348904 436130 471182 479743 872260 942364 959486 1090325 1177955 1744520 1884728 1918972 2180650 2355910 2398715 2591501 3837944 4361300 4711820 4797430 5183002 5451625 5889775 8722600 9423640 9594860 10366004 10903250 11779550 11993575 12957505 19189720 20732008 21806500 23559100 23987150 25915010 29448875 43613000 47118200 47974300 51830020 58897750 59967875 64787525 95948600 103660040 117795500 119935750 129575050 235591000 239871500 259150100 323937625 479743000 518300200 647875250 1295750500 2591501000 10274830283 20549660566 41099321132 51374151415 82198642264 102748302830 113023133113 205496605660 226046266226 256870757075 410993211320 452092532452 513741514150 565115665565 904185064904 1027483028300 1130231331130 1284353785375 2054966056600 2260462662260 2568707570750 2825578327825 4520925324520 5137415141500 5651156655650 10274830283000 11302313311300 14127891639125 22604626622600 28255783278250 56511566556500 113023133113000