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132213213 = 32111498963
BaseRepresentation
bin1111110000101…
…10100111011101
3100012210010102200
413320112213131
5232321310323
621041442113
73163536156
oct770264735
9305703380
10132213213
11686a3820
1238340339
1321511c92
14137b892d
15b919443
hex7e169dd

132213213 has 24 divisors (see below), whose sum is σ = 209757600. Its totient is φ = 79582560.

The previous prime is 132213181. The next prime is 132213239. The reversal of 132213213 is 312312231.

It is not a de Polignac number, because 132213213 - 25 = 132213181 is a prime.

It is a super-3 number, since 3×1322132133 (a number of 25 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132213283) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10270 + ... + 19232.

It is an arithmetic number, because the mean of its divisors is an integer number (8739900).

Almost surely, 2132213213 is an apocalyptic number.

It is an amenable number.

132213213 is a deficient number, since it is larger than the sum of its proper divisors (77544387).

132213213 is a wasteful number, since it uses less digits than its factorization.

132213213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9129 (or 9126 counting only the distinct ones).

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

The square root of 132213213 is about 11498.4004539762. The cubic root of 132213213 is about 509.4383320604.

Adding to 132213213 its reverse (312312231), we get a palindrome (444525444).

It can be divided in two parts, 1322 and 13213, that added together give a triangular number (14535 = T170).

The spelling of 132213213 in words is "one hundred thirty-two million, two hundred thirteen thousand, two hundred thirteen".

Divisors: 1 3 9 11 33 99 149 447 1341 1639 4917 8963 14751 26889 80667 98593 295779 887337 1335487 4006461 12019383 14690357 44071071 132213213