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132722424120 = 2335111331249497
BaseRepresentation
bin111101110011011011…
…1110111100100111000
3110200120122122201102210
41323212313313210320
54133303420032440
6140545530055120
712405661663626
oct1734667674470
9420518581383
10132722424120
1151318391720
122188057a4a0
13c691c0cb90
1465d0c98516
1536bbd77a80
hex1ee6df7938

132722424120 has 256 divisors, whose sum is σ = 482868449280. Its totient is φ = 28741939200.

The previous prime is 132722424103. The next prime is 132722424179. The reversal of 132722424120 is 21424227231.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 407212 + ... + 656708.

It is an arithmetic number, because the mean of its divisors is an integer number (1886204880).

Almost surely, 2132722424120 is an apocalyptic number.

132722424120 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 132722424120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241434224640).

132722424120 is an abundant number, since it is smaller than the sum of its proper divisors (350146025160).

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

132722424120 is a wasteful number, since it uses less digits than its factorization.

132722424120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 249566 (or 249562 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 30.

The spelling of 132722424120 in words is "one hundred thirty-two billion, seven hundred twenty-two million, four hundred twenty-four thousand, one hundred twenty".