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132011010311220 = 2232515833779122597
BaseRepresentation
bin11110000001000000110101…
…011000000100010000110100
3122022102010111021200220022100
4132001000311120010100310
5114300332022114424340
61144433004304102100
736543323620256325
oct3601006530042064
9568363437626270
10132011010311220
1139076611889877
1212980750304930
13588777ac142c1
14248551d04444c
15103dd98ea0830
hex781035604434

132011010311220 has 144 divisors (see below), whose sum is σ = 400795655420160. Its totient is φ = 35171101555968.

The previous prime is 132011010311179. The next prime is 132011010311237. The reversal of 132011010311220 is 22113010110231.

132011010311220 is a `hidden beast` number, since 1 + 3 + 20 + 110 + 1 + 0 + 311 + 220 = 666.

It is a super-2 number, since 2×1320110103112202 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 132011010311193 and 132011010311202.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1076726962 + ... + 1076849558.

It is an arithmetic number, because the mean of its divisors is an integer number (2783303162640).

Almost surely, 2132011010311220 is an apocalyptic number.

132011010311220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132011010311220 is an abundant number, since it is smaller than the sum of its proper divisors (268784645108940).

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

132011010311220 is a wasteful number, since it uses less digits than its factorization.

132011010311220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127974 (or 127969 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 132011010311220 its reverse (22113010110231), we get a palindrome (154124020421451).

The spelling of 132011010311220 in words is "one hundred thirty-two trillion, eleven billion, ten million, three hundred eleven thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 1583 3166 3779 4749 6332 7558 7915 9498 11337 14247 15116 15830 18895 18996 22674 23745 28494 31660 34011 37790 45348 47490 56685 56988 68022 71235 75580 94980 113370 122597 136044 142470 170055 226740 245194 284940 340110 367791 490388 612985 680220 735582 1103373 1225970 1471164 1838955 2206746 2451940 3677910 4413492 5516865 5982157 7355820 11033730 11964314 17946471 22067460 23928628 29910785 35892942 53839413 59821570 71785884 89732355 107678826 119643140 179464710 194071051 215357652 269197065 358929420 388142102 463294063 538394130 582213153 776284204 926588126 970355255 1076788260 1164426306 1389882189 1746639459 1853176252 1940710510 2316470315 2328852612 2779764378 2911065765 3493278918 3881421020 4169646567 4632940630 5559528756 5822131530 6949410945 6986557836 8339293134 8733197295 9265881260 11644263060 13898821890 16678586268 17466394590 20848232835 27797643780 34932789180 41696465670 83392931340 733394501729 1466789003458 2200183505187 2933578006916 3666972508645 4400367010374 6600550515561 7333945017290 8800734020748 11000917525935 13201101031122 14667890034580 22001835051870 26402202062244 33002752577805 44003670103740 66005505155610 132011010311220