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132213131 = 1723338141
BaseRepresentation
bin1111110000101…
…10100110001011
3100012210010022122
413320112212023
5232321310011
621041441455
73163536011
oct770264613
9305703278
10132213131
11686a3756
123834028b
1321511c2b
14137b88b1
15b9193db
hex7e1698b

132213131 has 8 divisors (see below), whose sum is σ = 146077344. Its totient is φ = 119025280.

The previous prime is 132213073. The next prime is 132213143. The reversal of 132213131 is 131312231.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 132213131 - 210 = 132212107 is a prime.

It is a super-3 number, since 3×1322131313 (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (132213161) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 168680 + ... + 169461.

It is an arithmetic number, because the mean of its divisors is an integer number (18259668).

Almost surely, 2132213131 is an apocalyptic number.

132213131 is a deficient number, since it is larger than the sum of its proper divisors (13864213).

132213131 is a wasteful number, since it uses less digits than its factorization.

132213131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 338181.

The product of its digits is 108, while the sum is 17.

The square root of 132213131 is about 11498.3968882623. The cubic root of 132213131 is about 509.4382267408.

Adding to 132213131 its reverse (131312231), we get a palindrome (263525362).

The spelling of 132213131 in words is "one hundred thirty-two million, two hundred thirteen thousand, one hundred thirty-one".

Divisors: 1 17 23 391 338141 5748397 7777243 132213131