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132232021120 = 275373553921
BaseRepresentation
bin111101100100110100…
…1001000010010000000
3110122022110212122222201
41323021221020102000
54131302344133440
6140425131042544
712360555430363
oct1731151102200
9418273778881
10132232021120
115109658a691
12217642a0454
13c6144380a4
146585ac00da
15368dca819a
hex1ec9a48480

132232021120 has 64 divisors (see below), whose sum is σ = 316965246840. Its totient is φ = 52750909440.

The previous prime is 132232021109. The next prime is 132232021147. The reversal of 132232021120 is 21120232231.

It can be written as a sum of positive squares in 4 ways, for example, as 116750689344 + 15481331776 = 341688^2 + 124424^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 38241 + ... + 515680.

Almost surely, 2132232021120 is an apocalyptic number.

132232021120 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 132232021120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158482623420).

132232021120 is an abundant number, since it is smaller than the sum of its proper divisors (184733225720).

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

132232021120 is an equidigital number, since it uses as much as digits as its factorization.

132232021120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 554313 (or 554301 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

Adding to 132232021120 its reverse (21120232231), we get a palindrome (153352253351).

The spelling of 132232021120 in words is "one hundred thirty-two billion, two hundred thirty-two million, twenty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 320 373 640 746 1492 1865 2984 3730 5968 7460 11936 14920 23872 29840 47744 59680 119360 238720 553921 1107842 2215684 2769605 4431368 5539210 8862736 11078420 17725472 22156840 35450944 44313680 70901888 88627360 177254720 206612533 354509440 413225066 826450132 1033062665 1652900264 2066125330 3305800528 4132250660 6611601056 8264501320 13223202112 16529002640 26446404224 33058005280 66116010560 132232021120