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132123020 = 22554112211
BaseRepresentation
bin1111110000000…
…00100110001100
3100012121112201012
413320000212030
5232310414040
621035504352
73163012211
oct770004614
9305545635
10132123020
1168641a87
12382b80b8
13214acc03
1413793b08
15b8ec865
hex7e0098c

132123020 has 24 divisors (see below), whose sum is σ = 277993968. Its totient is φ = 52747200.

The previous prime is 132123001. The next prime is 132123059. The reversal of 132123020 is 20321231.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 132122986 and 132123004.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4715 + ... + 16925.

It is an arithmetic number, because the mean of its divisors is an integer number (11583082).

Almost surely, 2132123020 is an apocalyptic number.

132123020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132123020 is an abundant number, since it is smaller than the sum of its proper divisors (145870948).

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

132123020 is a wasteful number, since it uses less digits than its factorization.

132123020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12761 (or 12759 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 132123020 is about 11494.4778045808. The cubic root of 132123020 is about 509.3224630975.

Adding to 132123020 its reverse (20321231), we get a palindrome (152444251).

The spelling of 132123020 in words is "one hundred thirty-two million, one hundred twenty-three thousand, twenty".

Divisors: 1 2 4 5 10 20 541 1082 2164 2705 5410 10820 12211 24422 48844 61055 122110 244220 6606151 13212302 26424604 33030755 66061510 132123020