Search a number
-
+
131122101303 = 32115312635839
BaseRepresentation
bin111101000011101111…
…1000111110000110111
3110112110010100220020100
41322013133013300313
54122014224220203
6140123041405143
712321220320504
oct1720737076067
9415403326210
10131122101303
115067700a486
12214b46397b3
13c4984c31bb
1464bc51c4ab
153626612ea3
hex1e877c7c37

131122101303 has 12 divisors (see below), whose sum is σ = 189562871680. Its totient is φ = 87338912256.

The previous prime is 131122101281. The next prime is 131122101343. The reversal of 131122101303 is 303101221131.

131122101303 is a `hidden beast` number, since 1 + 311 + 221 + 0 + 130 + 3 = 666.

It is not a de Polignac number, because 131122101303 - 26 = 131122101239 is a prime.

It is a super-2 number, since 2×1311221013032 (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 (131122101343) 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 11 ways as a sum of consecutive naturals, for example, 6307543 + ... + 6328296.

Almost surely, 2131122101303 is an apocalyptic number.

131122101303 is a deficient number, since it is larger than the sum of its proper divisors (58440770377).

131122101303 is a wasteful number, since it uses less digits than its factorization.

131122101303 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12636998 (or 12636995 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 131122101303 its reverse (303101221131), we get a palindrome (434223322434).

The spelling of 131122101303 in words is "one hundred thirty-one billion, one hundred twenty-two million, one hundred one thousand, three hundred three".

Divisors: 1 3 9 1153 3459 10377 12635839 37907517 113722551 14569122367 43707367101 131122101303