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132132021223100 = 225229257475937253
BaseRepresentation
bin11110000010110001100010…
…001100000011111010111100
3122022211200211202002011012112
4132002301202030003322330
5114304322334413114400
61145004340151553152
736555136443120563
oct3602614214037274
9568750752064175
10132132021223100
113911296a33aa58
12129a00a268b7b8
135895cc4689482
14248b31c738bda
1510420cca90835
hex782c62303ebc

132132021223100 has 144 divisors (see below), whose sum is σ = 297838309003200. Its totient is φ = 50819690987520.

The previous prime is 132132021223099. The next prime is 132132021223117. The reversal of 132132021223100 is 1322120231231.

It is a super-2 number, since 2×1321320212231002 (a number of 29 digits) contains 22 as substring.

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, 3546864074 + ... + 3546901326.

It is an arithmetic number, because the mean of its divisors is an integer number (2068321590300).

Almost surely, 2132132021223100 is an apocalyptic number.

132132021223100 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 132132021223100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148919154501600).

132132021223100 is an abundant number, since it is smaller than the sum of its proper divisors (165706287780100).

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

132132021223100 is a wasteful number, since it uses less digits than its factorization.

132132021223100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42312 (or 42305 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 23.

Adding to 132132021223100 its reverse (1322120231231), we get a palindrome (133454141454331).

The spelling of 132132021223100 in words is "one hundred thirty-two trillion, one hundred thirty-two billion, twenty-one million, two hundred twenty-three thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 29 50 58 100 116 145 257 290 514 580 725 1028 1285 1450 2570 2900 4759 5140 6425 7453 9518 12850 14906 19036 23795 25700 29812 37253 37265 47590 74506 74530 95180 118975 138011 149012 149060 186265 186325 237950 276022 372530 372650 475900 552044 690055 745060 745300 931325 1080337 1223063 1380110 1862650 2160674 2446126 2760220 3450275 3725300 4321348 4892252 5401685 6115315 6900550 9574021 10803370 12230630 13801100 19148042 21606740 24461260 27008425 30576575 35468827 38296084 47870105 54016850 61153150 70937654 95740210 108033700 122306300 141875308 177287027 177344135 191480420 239350525 277646609 354574054 354688270 478701050 555293218 709148108 709376540 886435135 886720675 957402100 1110586436 1388233045 1772870270 1773441350 2776466090 3545740540 3546882700 4432175675 5141323783 5552932180 6941165225 8864351350 10282647566 13882330450 17728702700 20565295132 25706618915 27764660900 45562765939 51413237830 91125531878 102826475660 128533094575 182251063756 227813829695 257066189150 455627659390 514132378300 911255318780 1139069148475 1321320212231 2278138296950 2642640424462 4556276593900 5285280848924 6606601061155 13213202122310 26426404244620 33033005305775 66066010611550 132132021223100