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132110233211300 = 225217234797053817
BaseRepresentation
bin11110000010011101001111…
…100001011001000110100100
3122022202121121022002110212112
4132002131033201121012210
5114303443224200230200
61144550334151140152
736553435510066361
oct3602351741310644
9568677538073775
10132110233211300
11391046a95a5233
1212997a21974658
135893c3172b2b6
14248a252bbb468
151041754d88535
hex78274f8591a4

132110233211300 has 144 divisors (see below), whose sum is σ = 317401495004160. Its totient is φ = 47473874595840.

The previous prime is 132110233211279. The next prime is 132110233211309. The reversal of 132110233211300 is 3112332011231.

It is a super-2 number, since 2×1321102332113002 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is not an unprimeable number, because it can be changed into a prime (132110233211309) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15201992 + ... + 22255808.

It is an arithmetic number, because the mean of its divisors is an integer number (2204177048640).

Almost surely, 2132110233211300 is an apocalyptic number.

132110233211300 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 132110233211300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158700747502080).

132110233211300 is an abundant number, since it is smaller than the sum of its proper divisors (185291261792860).

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

132110233211300 is a wasteful number, since it uses less digits than its factorization.

132110233211300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7054350 (or 7054343 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 23.

Adding to 132110233211300 its reverse (3112332011231), we get a palindrome (135222565222531).

The spelling of 132110233211300 in words is "one hundred thirty-two trillion, one hundred ten billion, two hundred thirty-three million, two hundred eleven thousand, three hundred".

Divisors: 1 2 4 5 10 17 20 23 25 34 46 50 68 85 92 100 115 170 230 340 391 425 460 479 575 782 850 958 1150 1564 1700 1916 1955 2300 2395 3910 4790 7820 8143 9580 9775 11017 11975 16286 19550 22034 23950 32572 39100 40715 44068 47900 55085 81430 110170 162860 187289 203575 220340 275425 374578 407150 550850 749156 814300 936445 1101700 1872890 3745780 4682225 7053817 9364450 14107634 18728900 28215268 35269085 70538170 119914889 141076340 162237791 176345425 239829778 324475582 352690850 479659556 599574445 648951164 705381700 811188955 1199148890 1622377910 2398297780 2758042447 2997872225 3244755820 3378778343 4055944775 5516084894 5995744450 6757556686 8111889550 11032169788 11991488900 13515113372 13790212235 16223779100 16893891715 27580424470 33787783430 55160848940 57439231831 67575566860 68951061175 77711901889 84469458575 114878463662 137902122350 155423803778 168938917150 229756927324 275804244700 287196159155 310847607556 337877834300 388559509445 574392318310 777119018890 1148784636620 1321102332113 1435980795775 1554238037780 1942797547225 2642204664226 2871961591550 3885595094450 5284409328452 5743923183100 6605511660565 7771190188900 13211023321130 26422046642260 33027558302825 66055116605650 132110233211300