Search a number
-
+
131102002213 = 71329332914923
BaseRepresentation
bin111101000011001001…
…0011100110000100101
3110112101201112202110121
41322012102130300211
54121444103032323
6140121042521541
712320554426540
oct1720622346045
9415351482417
10131102002213
1150666731766
12214a99662b1
13c4942a6950
1464b99a9857
153624992a5d
hex1e8649cc25

131102002213 has 32 divisors (see below), whose sum is σ = 166981651200. Its totient is φ = 100115398656.

The previous prime is 131102002193. The next prime is 131102002223. The reversal of 131102002213 is 312200201131.

It is not a de Polignac number, because 131102002213 - 213 = 131101994021 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131102002223) 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 31 ways as a sum of consecutive naturals, for example, 8777770 + ... + 8792692.

It is an arithmetic number, because the mean of its divisors is an integer number (5218176600).

Almost surely, 2131102002213 is an apocalyptic number.

131102002213 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

131102002213 is a deficient number, since it is larger than the sum of its proper divisors (35879648987).

131102002213 is a wasteful number, since it uses less digits than its factorization.

131102002213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18301.

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

Adding to 131102002213 its reverse (312200201131), we get a palindrome (443302203344).

The spelling of 131102002213 in words is "one hundred thirty-one billion, one hundred two million, two thousand, two hundred thirteen".

Divisors: 1 7 13 29 91 203 377 2639 3329 14923 23303 43277 96541 104461 193999 302939 432767 675787 1255033 1357993 3029369 5625971 8785231 39381797 49678667 347750669 645822671 1440681343 4520758697 10084769401 18728857459 131102002213