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132121020 = 22352419137
BaseRepresentation
bin1111110000000…
…00000110111100
3100012121102222010
413320000012330
5232310333040
621035451220
73163003323
oct770000674
9305542863
10132121020
1168640529
12382b6b10
13214ac025
14137930ba
15b8ebe80
hex7e001bc

132121020 has 48 divisors (see below), whose sum is σ = 371514528. Its totient is φ = 35082240.

The previous prime is 132121009. The next prime is 132121027. The reversal of 132121020 is 20121231.

132121020 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 132120987 and 132121005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132121027) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9892 + ... + 19028.

It is an arithmetic number, because the mean of its divisors is an integer number (7739886).

Almost surely, 2132121020 is an apocalyptic number.

132121020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132121020 is an abundant number, since it is smaller than the sum of its proper divisors (239393508).

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

132121020 is a wasteful number, since it uses less digits than its factorization.

132121020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9390 (or 9388 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 132121020 is about 11494.3908059540. The cubic root of 132121020 is about 509.3198931439.

Adding to 132121020 its reverse (20121231), we get a palindrome (152242251).

The spelling of 132121020 in words is "one hundred thirty-two million, one hundred twenty-one thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 241 482 723 964 1205 1446 2410 2892 3615 4820 7230 9137 14460 18274 27411 36548 45685 54822 91370 109644 137055 182740 274110 548220 2202017 4404034 6606051 8808068 11010085 13212102 22020170 26424204 33030255 44040340 66060510 132121020