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132110020 = 22571019343
BaseRepresentation
bin1111101111111…
…01011011000100
3100012120212212201
413313331123010
5232310010040
621035324244
73162626260
oct767753304
9305525781
10132110020
1168633239
12382b0684
13214a7013
141378d0a0
15b8e8a9a
hex7dfd6c4

132110020 has 48 divisors (see below), whose sum is σ = 320237568. Its totient is φ = 44841600.

The previous prime is 132109981. The next prime is 132110039. The reversal of 132110020 is 20011231.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 132109979 and 132110006.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9469 + ... + 18811.

It is an arithmetic number, because the mean of its divisors is an integer number (6671616).

Almost surely, 2132110020 is an apocalyptic number.

132110020 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 132110020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160118784).

132110020 is an abundant number, since it is smaller than the sum of its proper divisors (188127548).

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

132110020 is a wasteful number, since it uses less digits than its factorization.

132110020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9460 (or 9458 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

The square root of 132110020 is about 11493.9123017361. The cubic root of 132110020 is about 509.3057579359.

Adding to 132110020 its reverse (20011231), we get a palindrome (152121251).

The spelling of 132110020 in words is "one hundred thirty-two million, one hundred ten thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 101 140 202 404 505 707 1010 1414 2020 2828 3535 7070 9343 14140 18686 37372 46715 65401 93430 130802 186860 261604 327005 654010 943643 1308020 1887286 3774572 4718215 6605501 9436430 13211002 18872860 26422004 33027505 66055010 132110020