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132121220 = 22571185793
BaseRepresentation
bin1111110000000…
…00001010000100
3100012121110020112
413320000022010
5232310334340
621035452152
73163004030
oct770001204
9305543215
10132121220
11686406a0
12382b7058
13214ac14a
14137931c0
15b8ec065
hex7e00284

132121220 has 48 divisors (see below), whose sum is σ = 345921408. Its totient is φ = 41180160.

The previous prime is 132121207. The next prime is 132121271. The reversal of 132121220 is 22121231.

132121220 = T157 + T158 + ... + T926.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 132121195 and 132121204.

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, 41357 + ... + 44436.

It is an arithmetic number, because the mean of its divisors is an integer number (7206696).

Almost surely, 2132121220 is an apocalyptic number.

132121220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132121220 is an abundant number, since it is smaller than the sum of its proper divisors (213800188).

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

132121220 is a wasteful number, since it uses less digits than its factorization.

132121220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85820 (or 85818 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 132121220 is about 11494.3995058463. The cubic root of 132121220 is about 509.3201501405.

Adding to 132121220 its reverse (22121231), we get a palindrome (154242451).

The spelling of 132121220 in words is "one hundred thirty-two million, one hundred twenty-one thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 55 70 77 110 140 154 220 308 385 770 1540 85793 171586 343172 428965 600551 857930 943723 1201102 1715860 1887446 2402204 3002755 3774892 4718615 6005510 6606061 9437230 12011020 13212122 18874460 26424244 33030305 66060610 132121220