Search a number
-
+
13132331201 = 1141237112281
BaseRepresentation
bin11000011101011111…
…10111100011000001
31020220012210112202002
430032233313203001
5203343334044301
610011035233345
7643300654613
oct141657674301
936805715662
1013132331201
115629949890
122665ba8855
1313139255a2
148c8174db3
1551cd9116b
hex30ebf78c1

13132331201 has 16 divisors (see below), whose sum is σ = 14682983616. Its totient is φ = 11641440000.

The previous prime is 13132331189. The next prime is 13132331243. The reversal of 13132331201 is 10213323131.

It is a cyclic number.

It is not a de Polignac number, because 13132331201 - 214 = 13132314817 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13132331281) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1063181 + ... + 1075461.

It is an arithmetic number, because the mean of its divisors is an integer number (917686476).

Almost surely, 213132331201 is an apocalyptic number.

13132331201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

13132331201 is a deficient number, since it is larger than the sum of its proper divisors (1550652415).

13132331201 is a wasteful number, since it uses less digits than its factorization.

13132331201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14704.

The product of its (nonzero) digits is 324, while the sum is 20.

Adding to 13132331201 its reverse (10213323131), we get a palindrome (23345654332).

The spelling of 13132331201 in words is "thirteen billion, one hundred thirty-two million, three hundred thirty-one thousand, two hundred one".

Divisors: 1 11 41 451 2371 12281 26081 97211 135091 503521 1069321 5538731 29118251 320300761 1193848291 13132331201