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132023032020 = 2232511832273539
BaseRepresentation
bin111101011110100101…
…1111001100011010100
3110121202220121220211200
41322331023321203110
54130340344011040
6140352303432500
712352440153615
oct1727513714324
9417686556750
10132023032020
1150a99618020
12217062b5730
13c5b00543b9
14656603bc0c
15367a775630
hex1ebd2f98d4

132023032020 has 288 divisors, whose sum is σ = 444213020160. Its totient is φ = 31471783680.

The previous prime is 132023031997. The next prime is 132023032069. The reversal of 132023032020 is 20230320231.

It is a happy number.

132023032020 is a `hidden beast` number, since 1 + 320 + 2 + 3 + 0 + 320 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 132023031984 and 132023032002.

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, 37303411 + ... + 37306949.

It is an arithmetic number, because the mean of its divisors is an integer number (1542406320).

Almost surely, 2132023032020 is an apocalyptic number.

132023032020 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 132023032020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222106510080).

132023032020 is an abundant number, since it is smaller than the sum of its proper divisors (312189988140).

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

132023032020 is a wasteful number, since it uses less digits than its factorization.

132023032020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3875 (or 3870 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 132023032020 its reverse (20230320231), we get a palindrome (152253352251).

The spelling of 132023032020 in words is "one hundred thirty-two billion, twenty-three million, thirty-two thousand, twenty".