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132067221 = 311132111459
BaseRepresentation
bin1111101111100…
…10111110010101
3100012111201011120
413313302332111
5232302122341
621034354153
73162360426
oct767627625
9305451146
10132067221
1168604070
123828b959
13214906b0
141377b64d
15b8db066
hex7df2f95

132067221 has 32 divisors (see below), whose sum is σ = 207997440. Its totient is φ = 73483200.

The previous prime is 132067217. The next prime is 132067231. The reversal of 132067221 is 122760231.

It is not a de Polignac number, because 132067221 - 22 = 132067217 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 132067191 and 132067200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132067231) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 89790 + ... + 91248.

It is an arithmetic number, because the mean of its divisors is an integer number (6499920).

Almost surely, 2132067221 is an apocalyptic number.

132067221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

132067221 is a deficient number, since it is larger than the sum of its proper divisors (75930219).

132067221 is a wasteful number, since it uses less digits than its factorization.

132067221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1697.

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 132067221 is about 11492.0503392563. The cubic root of 132067221 is about 509.2507529447.

The spelling of 132067221 in words is "one hundred thirty-two million, sixty-seven thousand, two hundred twenty-one".

Divisors: 1 3 11 13 33 39 143 211 429 633 1459 2321 2743 4377 6963 8229 16049 18967 30173 48147 56901 90519 208637 307849 625911 923547 3386339 4002037 10159017 12006111 44022407 132067221