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132023055060 = 2234513291131913
BaseRepresentation
bin111101011110100101…
…1111111001011010100
3110121202220200002110000
41322331023333023110
54130340400230220
6140352304131300
712352440311031
oct1727513771324
9417686602400
10132023055060
1150a99633366
1221706306b30
13c5b0061a30
146566046388
15367a77c390
hex1ebd2ff2d4

132023055060 has 480 divisors, whose sum is σ = 465726270240. Its totient is φ = 31083429888.

The previous prime is 132023055029. The next prime is 132023055077. The reversal of 132023055060 is 60550320231.

132023055060 is a `hidden beast` number, since 1 + 3 + 20 + 2 + 30 + 550 + 60 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 63204976836 + 68818078224 = 251406^2 + 262332^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 69012664 + ... + 69014576.

It is an arithmetic number, because the mean of its divisors is an integer number (970263063).

Almost surely, 2132023055060 is an apocalyptic number.

132023055060 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 132023055060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232863135120).

132023055060 is an abundant number, since it is smaller than the sum of its proper divisors (333703215180).

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

132023055060 is a wasteful number, since it uses less digits than its factorization.

132023055060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2089 (or 2078 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

Adding to 132023055060 its reverse (60550320231), we get a palindrome (192573375291).

The spelling of 132023055060 in words is "one hundred thirty-two billion, twenty-three million, fifty-five thousand, sixty".