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132133223143220 = 225132374726998329
BaseRepresentation
bin11110000010110010101001…
…110101000001011100110100
3122022211210221111201000122112
4132002302221311001130310
5114304332320111040340
61145005055325150152
736555211306224065
oct3602625165013464
9568753844630575
10132133223143220
1139113426838372
12129a03790bb358
1358961566a3900
14248b3d420856c
15104214d35a065
hex782ca9d41734

132133223143220 has 288 divisors, whose sum is σ = 315307266624000. Its totient is φ = 46436296937472.

The previous prime is 132133223143219. The next prime is 132133223143237. The reversal of 132133223143220 is 22341322331231.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 15864232016 + ... + 15864240344.

It is an arithmetic number, because the mean of its divisors is an integer number (1094816898000).

Almost surely, 2132133223143220 is an apocalyptic number.

132133223143220 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 132133223143220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157653633312000).

132133223143220 is an abundant number, since it is smaller than the sum of its proper divisors (183174043480780).

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

132133223143220 is a wasteful number, since it uses less digits than its factorization.

132133223143220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11147 (or 11132 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 32.

Adding to 132133223143220 its reverse (22341322331231), we get a palindrome (154474545474451).

The spelling of 132133223143220 in words is "one hundred thirty-two trillion, one hundred thirty-three billion, two hundred twenty-three million, one hundred forty-three thousand, two hundred twenty".