Search a number
-
+
31144104104103 = 339791117810779
BaseRepresentation
bin1110001010011010011010…
…10000110001000010100111
311002021100101011102011011000
413011031031100301002213
513040231111122312403
6150123223124444343
76363041634665514
oct705151520610247
9132240334364130
1031144104104103
119a1815a929261
1235abb295496b3
13144bb5163b033
1479955011430b
153901e26ec7a3
hex1c534d4310a7

31144104104103 has 16 divisors (see below), whose sum is σ = 46144126310400. Its totient is φ = 20760615299160.

The previous prime is 31144104104063. The next prime is 31144104104117. The reversal of 31144104104103 is 30140140144113.

31144104104103 is a `hidden beast` number, since 3 + 1 + 144 + 1 + 0 + 410 + 4 + 103 = 666.

It is not a de Polignac number, because 31144104104103 - 237 = 31006665150631 is a prime.

It is a super-2 number, since 2×311441041041032 (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 congruent number.

It is not an unprimeable number, because it can be changed into a prime (31144104102103) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 58641033 + ... + 59169746.

It is an arithmetic number, because the mean of its divisors is an integer number (2884007894400).

Almost surely, 231144104104103 is an apocalyptic number.

31144104104103 is a deficient number, since it is larger than the sum of its proper divisors (15000022206297).

31144104104103 is a wasteful number, since it uses less digits than its factorization.

31144104104103 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117820579 (or 117820573 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 31144104104103 its reverse (30140140144113), we get a palindrome (61284244248216).

The spelling of 31144104104103 in words is "thirty-one trillion, one hundred forty-four billion, one hundred four million, one hundred four thousand, one hundred three".

Divisors: 1 3 9 27 9791 29373 88119 264357 117810779 353432337 1060297011 3180891033 1153485337189 3460456011567 10381368034701 31144104104103