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132100111114110 = 23451936311339157
BaseRepresentation
bin11110000010010011110100…
…001100101001111101111110
3122022201122110212120122220000
4132002103310030221331332
5114303312011421122420
61144541541523335130
736552626620510056
oct3602236414517576
9568648425518800
10132100111114110
1139100384976857
1212995a77b214a6
135892caa661489
142489972754566
15104136140d690
hex7824f4329f7e

132100111114110 has 160 divisors (see below), whose sum is σ = 357609052291392. Its totient is φ = 34988610908160.

The previous prime is 132100111114109. The next prime is 132100111114177. The reversal of 132100111114110 is 11411111001231.

132100111114110 is a `hidden beast` number, since 1 + 32 + 100 + 11 + 111 + 411 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 97974652 + ... + 99313808.

Almost surely, 2132100111114110 is an apocalyptic number.

132100111114110 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 132100111114110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178804526145696).

132100111114110 is an abundant number, since it is smaller than the sum of its proper divisors (225508941177282).

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

132100111114110 is a wasteful number, since it uses less digits than its factorization.

132100111114110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1340000 (or 1339991 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 18.

Adding to 132100111114110 its reverse (11411111001231), we get a palindrome (143511222115341).

The spelling of 132100111114110 in words is "one hundred thirty-two trillion, one hundred billion, one hundred eleven million, one hundred fourteen thousand, one hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 135 162 193 270 386 405 579 631 810 965 1158 1262 1737 1893 1930 2895 3155 3474 3786 5211 5679 5790 6310 8685 9465 10422 11358 15633 17037 17370 18930 26055 28395 31266 34074 51111 52110 56790 78165 85185 102222 121783 156330 170370 243566 255555 365349 511110 608915 730698 1096047 1217830 1339157 1826745 2192094 2678314 3288141 3653490 4017471 5480235 6576282 6695785 8034942 9864423 10960470 12052413 13391570 16440705 19728846 20087355 24104826 32881410 36157239 40174710 49322115 60262065 72314478 98644230 108471717 120524130 180786195 216943434 258457301 361572390 516914602 542358585 775371903 845008067 1084717170 1292286505 1550743806 1690016134 2326115709 2535024201 2584573010 3876859515 4225040335 4652231418 5070048402 6978347127 7605072603 7753719030 8450080670 11630578545 12675121005 13956694254 15210145206 20935041381 22815217809 23261157090 25350242010 34891735635 38025363015 41870082762 45630435618 68445653427 69783471270 76050726030 104675206905 114076089045 136891306854 163086556931 209350413810 228152178090 326173113862 342228267135 489259670793 684456534270 815432784655 978519341586 1467779012379 1630865569310 2446298353965 2935558024758 4403337037137 4892596707930 7338895061895 8806674074274 13210011111411 14677790123790 22016685185685 26420022222822 44033370371370 66050055557055 132100111114110