Search a number
-
+
23132033113131 = 331217703978609
BaseRepresentation
bin1010100001001110110001…
…00111011101110000101011
310000220101211011022212122000
411100213120213131300223
511012443400434110011
6121110413113302043
74605143226150615
oct520473047356053
9100811734285560
1023132033113131
117409270706928
122717187104923
13cba458c87787
1459d84c657db5
152a1ab5b92356
hex1509d89ddc2b

23132033113131 has 16 divisors (see below), whose sum is σ = 34297837879200. Its totient is φ = 15408683771904.

The previous prime is 23132033113097. The next prime is 23132033113141. The reversal of 23132033113131 is 13131133023132.

23132033113131 is a `hidden beast` number, since 2 + 3 + 1 + 32 + 0 + 3 + 311 + 313 + 1 = 666.

It is not a de Polignac number, because 23132033113131 - 27 = 23132033113003 is a prime.

It is a super-2 number, since 2×231320331131312 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 23132033113095 and 23132033113104.

It is not an unprimeable number, because it can be changed into a prime (23132033113141) 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 15 ways as a sum of consecutive naturals, for example, 351956446 + ... + 352022163.

It is an arithmetic number, because the mean of its divisors is an integer number (2143614867450).

Almost surely, 223132033113131 is an apocalyptic number.

23132033113131 is a deficient number, since it is larger than the sum of its proper divisors (11165804766069).

23132033113131 is a wasteful number, since it uses less digits than its factorization.

23132033113131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 703979835 (or 703979829 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 27.

Adding to 23132033113131 its reverse (13131133023132), we get a palindrome (36263166136263).

The spelling of 23132033113131 in words is "twenty-three trillion, one hundred thirty-two billion, thirty-three million, one hundred thirteen thousand, one hundred thirty-one".

Divisors: 1 3 9 27 1217 3651 10953 32859 703978609 2111935827 6335807481 19007422443 856741967153 2570225901459 7710677704377 23132033113131