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132131021 = 11172331991
BaseRepresentation
bin1111110000000…
…10100011001101
3100012121221200112
413320002203031
5232311143041
621040005405
73163044431
oct770024315
9305557615
10132131021
1168647aa0
1238300865
13214b3749
14137969c1
15b8eedeb
hex7e028cd

132131021 has 32 divisors (see below), whose sum is σ = 164560896. Its totient is φ = 104544000.

The previous prime is 132131011. The next prime is 132131059. The reversal of 132131021 is 120131231.

It is not a de Polignac number, because 132131021 - 222 = 127936717 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 132130987 and 132131005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132131011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 132836 + ... + 133826.

It is an arithmetic number, because the mean of its divisors is an integer number (5142528).

Almost surely, 2132131021 is an apocalyptic number.

132131021 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

132131021 is a deficient number, since it is larger than the sum of its proper divisors (32429875).

132131021 is a wasteful number, since it uses less digits than its factorization.

132131021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1073.

The product of its (nonzero) digits is 36, while the sum is 14.

The square root of 132131021 is about 11494.8258360012. The cubic root of 132131021 is about 509.3327439372.

Adding to 132131021 its reverse (120131231), we get a palindrome (252262252).

The spelling of 132131021 in words is "one hundred thirty-two million, one hundred thirty-one thousand, twenty-one".

Divisors: 1 11 17 23 31 187 253 341 391 527 713 991 4301 5797 7843 10901 12121 16847 22793 30721 133331 185317 250723 337931 387481 522257 706583 4262291 5744827 7772413 12011911 132131021