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132218596100500 = 225371317295894327
BaseRepresentation
bin11110000100000010001010…
…011101000000100110010100
3122100010222022021222121102021
4132010002022131000212110
5114312232141100204000
61145112215020022524
736564323032334140
oct3604021235004624
9570128267877367
10132218596100500
1139146656626808
12129b4a24391a44
1358a12109ca990
1424915b27aa220
1510444983a111a
hex78408a740994

132218596100500 has 384 divisors, whose sum is σ = 389285941524480. Its totient is φ = 38025475891200.

The previous prime is 132218596100497. The next prime is 132218596100501. The reversal of 132218596100500 is 5001695812231.

It is a super-2 number, since 2×1322185961005002 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132218596100501) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 19484337 + ... + 25378663.

It is an arithmetic number, because the mean of its divisors is an integer number (1013765472720).

Almost surely, 2132218596100500 is an apocalyptic number.

132218596100500 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 132218596100500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194642970762240).

132218596100500 is an abundant number, since it is smaller than the sum of its proper divisors (257067345423980).

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

132218596100500 is a wasteful number, since it uses less digits than its factorization.

132218596100500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5894412 (or 5894400 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 43.

The spelling of 132218596100500 in words is "one hundred thirty-two trillion, two hundred eighteen billion, five hundred ninety-six million, one hundred thousand, five hundred".