Search a number
-
+
132132000221 = 1317956782123
BaseRepresentation
bin111101100001110101…
…1100101000111011101
3110122001111200002002222
41323003223211013131
54131101243001341
6140411155155125
712355232320304
oct1730353450735
9418044602088
10132132000221
1151045084491
12217368a5aa5
13c5c97b7c20
1465766c543b
1536850ec44b
hex1ec3ae51dd

132132000221 has 8 divisors (see below), whose sum is σ = 143090952480. Its totient is φ = 121286612592.

The previous prime is 132132000211. The next prime is 132132000227. The reversal of 132132000221 is 122000231231.

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-132132000221 is a prime.

It is a super-3 number, since 3×1321320002213 (a number of 34 digits) contains 333 as substring.

It is a Duffinian number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 132132000221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132132000227) 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, 28388735 + ... + 28393388.

It is an arithmetic number, because the mean of its divisors is an integer number (17886369060).

Almost surely, 2132132000221 is an apocalyptic number.

It is an amenable number.

132132000221 is a deficient number, since it is larger than the sum of its proper divisors (10958952259).

132132000221 is a wasteful number, since it uses less digits than its factorization.

132132000221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56782315.

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 132132000221 its reverse (122000231231), we get a palindrome (254132231452).

The spelling of 132132000221 in words is "one hundred thirty-two billion, one hundred thirty-two million, two hundred twenty-one", and thus it is an aban number.

Divisors: 1 13 179 2327 56782123 738167599 10164000017 132132000221