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132051035113000 = 23531733727204803
BaseRepresentation
bin11110000001100110000111…
…000010100100011000101000
3122022112221210200102111110021
4132001212013002210120220
5114302011004442104000
61144503224050330224
736546241515415453
oct3601460702443050
9568487720374407
10132051035113000
1139091590837853
1212988460589974
13588b48916b773
142487438a2a49a
15103ee3cc3611a
hex7819870a4628

132051035113000 has 128 divisors (see below), whose sum is σ = 310870451473920. Its totient is φ = 52500746937600.

The previous prime is 132051035112959. The next prime is 132051035113009. The reversal of 132051035113000 is 311530150231.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (132051035113009) 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, 644668599 + ... + 644873401.

It is an arithmetic number, because the mean of its divisors is an integer number (2428675402140).

Almost surely, 2132051035113000 is an apocalyptic number.

132051035113000 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 132051035113000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155435225736960).

132051035113000 is an abundant number, since it is smaller than the sum of its proper divisors (178819416360920).

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

132051035113000 is a wasteful number, since it uses less digits than its factorization.

132051035113000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208724 (or 208710 counting only the distinct ones).

The product of its (nonzero) digits is 1350, while the sum is 25.

Adding to 132051035113000 its reverse (311530150231), we get a palindrome (132362565263231).

The spelling of 132051035113000 in words is "one hundred thirty-two trillion, fifty-one billion, thirty-five million, one hundred thirteen thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 173 200 250 346 500 692 865 1000 1384 1730 3460 3727 4325 6920 7454 8650 14908 17300 18635 21625 29816 34600 37270 43250 74540 86500 93175 149080 173000 186350 204803 372700 409606 465875 644771 745400 819212 931750 1024015 1289542 1638424 1863500 2048030 2579084 3223855 3727000 4096060 5120075 5158168 6447710 8192120 10240150 12895420 16119275 20480300 25600375 25790840 32238550 35430919 40960600 51200750 64477100 70861838 80596375 102401500 128954200 141723676 161192750 177154595 204803000 283447352 322385500 354309190 644771000 708618380 763300781 885772975 1417236760 1526601562 1771545950 3053203124 3543091900 3816503905 4428864875 6106406248 7086183800 7633007810 8857729750 15266015620 17715459500 19082519525 30532031240 35430919000 38165039050 76330078100 95412597625 132051035113 152660156200 190825195250 264102070226 381650390500 528204140452 660255175565 763300781000 1056408280904 1320510351130 2641020702260 3301275877825 5282041404520 6602551755650 13205103511300 16506379389125 26410207022600 33012758778250 66025517556500 132051035113000