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132131601 = 337838423
BaseRepresentation
bin1111110000000…
…10101100010001
3100012121222111000
413320002230101
5232311202401
621040012213
73163046220
oct770025421
9305558430
10132131601
1168648478
1238301069
13214b3aa4
1413796cb7
15b900186
hex7e02b11

132131601 has 32 divisors (see below), whose sum is σ = 226437120. Its totient is φ = 74585232.

The previous prime is 132131581. The next prime is 132131603. The reversal of 132131601 is 106131231.

132131601 is a `hidden beast` number, since 1 + 32 + 1 + 31 + 601 = 666.

It is not a de Polignac number, because 132131601 - 218 = 131869457 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (132131603) 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, 11476 + ... + 19898.

It is an arithmetic number, because the mean of its divisors is an integer number (7076160).

Almost surely, 2132131601 is an apocalyptic number.

It is an amenable number.

132131601 is a deficient number, since it is larger than the sum of its proper divisors (94305519).

132131601 is an equidigital number, since it uses as much as digits as its factorization.

132131601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8522 (or 8516 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 132131601 is about 11494.8510647159. The cubic root of 132131601 is about 509.3334891888. Note that the first 3 decimals are identical.

Adding to 132131601 its reverse (106131231), we get a palindrome (238262832).

The spelling of 132131601 in words is "one hundred thirty-two million, one hundred thirty-one thousand, six hundred one".

Divisors: 1 3 7 9 21 27 63 83 189 249 581 747 1743 2241 5229 8423 15687 25269 58961 75807 176883 227421 530649 699109 1591947 2097327 4893763 6291981 14681289 18875943 44043867 132131601