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132213001 = 1922973173
BaseRepresentation
bin1111110000101…
…10100100001001
3100012210010010211
413320112210021
5232321304001
621041441121
73163535434
oct770264411
9305703124
10132213001
11686a3648
12383401a1
1321511b5b
14137b881b
15b919351
hex7e16909

132213001 has 24 divisors (see below), whose sum is σ = 147172680. Its totient is φ = 118589184.

The previous prime is 132212981. The next prime is 132213007. The reversal of 132213001 is 100312231.

It can be written as a sum of positive squares in 4 ways, for example, as 52128400 + 80084601 = 7220^2 + 8949^2 .

It is not a de Polignac number, because 132213001 - 215 = 132180233 is a prime.

It is a super-3 number, since 3×1322130013 (a number of 25 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (132213007) 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 23 ways as a sum of consecutive naturals, for example, 764151 + ... + 764323.

It is an arithmetic number, because the mean of its divisors is an integer number (6132195).

Almost surely, 2132213001 is an apocalyptic number.

It is an amenable number.

132213001 is a deficient number, since it is larger than the sum of its proper divisors (14959679).

132213001 is a wasteful number, since it uses less digits than its factorization.

132213001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 313 (or 294 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

The square root of 132213001 is about 11498.3912352990. The cubic root of 132213001 is about 509.4380597705.

Adding to 132213001 its reverse (100312231), we get a palindrome (232525232).

The spelling of 132213001 in words is "one hundred thirty-two million, two hundred thirteen thousand, one".

Divisors: 1 19 29 73 173 361 551 1387 2117 3287 5017 10469 12629 26353 40223 62453 95323 239951 366241 764237 1811137 4559069 6958579 132213001