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132111103300 = 225211214973277
BaseRepresentation
bin111101100001001101…
…1110111010101000100
3110122000001100101220221
41323002123313111010
54131030420301200
6140405131234124
712354556564321
oct1730233672504
9418001311827
10132111103300
1151034301300
122172b8a8944
13c5c537c497
146573a05b48
15368337091a
hex1ec26f7544

132111103300 has 108 divisors (see below), whose sum is σ = 317231453700. Its totient is φ = 47717331200.

The previous prime is 132111103247. The next prime is 132111103321. The reversal of 132111103300 is 3301111231.

It can be written as a sum of positive squares in 6 ways, for example, as 36105320196 + 96005783104 = 190014^2 + 309848^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1766262 + ... + 1839538.

It is an arithmetic number, because the mean of its divisors is an integer number (2937328275).

Almost surely, 2132111103300 is an apocalyptic number.

132111103300 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 132111103300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158615726850).

132111103300 is an abundant number, since it is smaller than the sum of its proper divisors (185120350400).

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

132111103300 is a wasteful number, since it uses less digits than its factorization.

132111103300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73462 (or 73444 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 16.

Adding to 132111103300 its reverse (3301111231), we get a palindrome (135412214531).

The spelling of 132111103300 in words is "one hundred thirty-two billion, one hundred eleven million, one hundred three thousand, three hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 121 149 220 242 275 298 484 550 596 605 745 1100 1210 1490 1639 2420 2980 3025 3278 3725 6050 6556 7450 8195 12100 14900 16390 18029 32780 36058 40975 72116 73277 81950 90145 146554 163900 180290 293108 360580 366385 450725 732770 806047 901450 1465540 1612094 1802900 1831925 3224188 3663850 4030235 7327700 8060470 8866517 10918273 16120940 17733034 20151175 21836546 35466068 40302350 43673092 44332585 54591365 80604700 88665170 109182730 120101003 177330340 218365460 221662925 240202006 272956825 443325850 480404012 545913650 600505015 886651700 1091827300 1201010030 1321111033 2402020060 2642222066 3002525075 5284444132 6005050150 6605555165 12010100300 13211110330 26422220660 33027775825 66055551650 132111103300