Search a number
-
+
132012001213 = 1811873389401
BaseRepresentation
bin111101011110010000…
…1110100011110111101
3110121202010212111102021
41322330201310132331
54130330033014323
6140351231200141
712352244332051
oct1727441643675
9417663774367
10132012001213
1150a93373454
1221702676051
13c5aa9915b1
1465647a9c61
1536797e705d
hex1ebc8747bd

132012001213 has 8 divisors (see below), whose sum is σ = 132812561336. Its totient is φ = 131212224000.

The previous prime is 132012001211. The next prime is 132012001241. The reversal of 132012001213 is 312100210231.

It can be written as a sum of positive squares in 4 ways, for example, as 2096449369 + 129915551844 = 45787^2 + 360438^2 .

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 132012001213 - 21 = 132012001211 is a prime.

It is a super-2 number, since 2×1320120012132 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132012001211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 144313 + ... + 533713.

It is an arithmetic number, because the mean of its divisors is an integer number (16601570167).

Almost surely, 2132012001213 is an apocalyptic number.

It is an amenable number.

132012001213 is a deficient number, since it is larger than the sum of its proper divisors (800560123).

132012001213 is a wasteful number, since it uses less digits than its factorization.

132012001213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 391455.

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 132012001213 its reverse (312100210231), we get a palindrome (444112211444).

The spelling of 132012001213 in words is "one hundred thirty-two billion, twelve million, one thousand, two hundred thirteen".

Divisors: 1 181 1873 339013 389401 70481581 729348073 132012001213