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132131223 = 3371634289
BaseRepresentation
bin1111110000000…
…10100110010111
3100012121221222000
413320002212113
5232311144343
621040010343
73163045140
oct770024627
9305557860
10132131223
1168648164
12383009b3
13214b3873
1413796ac7
15b8eeed3
hex7e02997

132131223 has 32 divisors (see below), whose sum is σ = 225139200. Its totient is φ = 75022848.

The previous prime is 132131201. The next prime is 132131227. The reversal of 132131223 is 322131231.

It is not a de Polignac number, because 132131223 - 28 = 132130967 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 132131196 and 132131205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132131227) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28663 + ... + 32951.

It is an arithmetic number, because the mean of its divisors is an integer number (7035600).

Almost surely, 2132131223 is an apocalyptic number.

132131223 is a deficient number, since it is larger than the sum of its proper divisors (93007977).

132131223 is a wasteful number, since it uses less digits than its factorization.

132131223 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4468 (or 4462 counting only the distinct ones).

The product of its digits is 216, while the sum is 18.

The square root of 132131223 is about 11494.8346225598. The cubic root of 132131223 is about 509.3330034906. Note that the first 3 decimals are identical.

Adding to 132131223 its reverse (322131231), we get a palindrome (454262454).

The spelling of 132131223 in words is "one hundred thirty-two million, one hundred thirty-one thousand, two hundred twenty-three".

Divisors: 1 3 7 9 21 27 63 163 189 489 1141 1467 3423 4289 4401 10269 12867 30023 30807 38601 90069 115803 270207 699107 810621 2097321 4893749 6291963 14681247 18875889 44043741 132131223