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132110002424500 = 2253718574342367
BaseRepresentation
bin11110000010011101000001…
…110001000000101010110100
3122022202121000012211021220021
4132002131001301000222310
5114303442241110041000
61144550255224414524
736553430005325512
oct3602350161005264
9568677005737807
10132110002424500
11391045a02a4741
1212997978617444
135893bc5984b69
14248a2302a34b2
15104173e99c11a
hex782741c40ab4

132110002424500 has 96 divisors (see below), whose sum is σ = 292933505120256. Its totient is φ = 52038914144000.

The previous prime is 132110002424431. The next prime is 132110002424531. The reversal of 132110002424500 is 5424200011231.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28252317 + ... + 32594683.

It is an arithmetic number, because the mean of its divisors is an integer number (3051390678336).

Almost surely, 2132110002424500 is an apocalyptic number.

132110002424500 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 132110002424500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146466752560128).

132110002424500 is an abundant number, since it is smaller than the sum of its proper divisors (160823502695756).

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

132110002424500 is a wasteful number, since it uses less digits than its factorization.

132110002424500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4343314 (or 4343302 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

Adding to 132110002424500 its reverse (5424200011231), we get a palindrome (137534202435731).

The spelling of 132110002424500 in words is "one hundred thirty-two trillion, one hundred ten billion, two million, four hundred twenty-four thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 50 71 100 125 142 250 284 355 500 710 857 1420 1714 1775 3428 3550 4285 7100 8570 8875 17140 17750 21425 35500 42850 60847 85700 107125 121694 214250 243388 304235 428500 608470 1216940 1521175 3042350 4342367 6084700 7605875 8684734 15211750 17369468 21711835 30423500 43423670 86847340 108559175 217118350 308308057 434236700 542795875 616616114 1085591750 1233232228 1541540285 2171183500 3083080570 3721408519 6166161140 7442817038 7707701425 14885634076 15415402850 18607042595 30830805700 37214085190 38538507125 74428170380 77077014250 93035212975 154154028500 186070425950 264220004849 372140851900 465176064875 528440009698 930352129750 1056880019396 1321100024245 1860704259500 2642200048490 5284400096980 6605500121225 13211000242450 26422000484900 33027500606125 66055001212250 132110002424500