Search a number
-
+
103312011231 = 32111380273513
BaseRepresentation
bin110000000110111100…
…0000010111111011111
3100212122222202221112100
41200031320002333133
53143040333324411
6115243314540143
710315111414632
oct1401570027737
9325588687470
10103312011231
113a8a5a34170
1218032b97653
139985a38bc0
145000c85c19
152a49db1456
hex180de02fdf

103312011231 has 24 divisors (see below), whose sum is σ = 175317354576. Its totient is φ = 57796928640.

The previous prime is 103312011223. The next prime is 103312011307. The reversal of 103312011231 is 132110213301.

103312011231 is a `hidden beast` number, since 10 + 331 + 201 + 123 + 1 = 666.

It is not a de Polignac number, because 103312011231 - 23 = 103312011223 is a prime.

It is a super-2 number, since 2×1033120112312 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103312011221) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 40135470 + ... + 40138043.

It is an arithmetic number, because the mean of its divisors is an integer number (7304889774).

Almost surely, 2103312011231 is an apocalyptic number.

103312011231 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

103312011231 is a deficient number, since it is larger than the sum of its proper divisors (72005343345).

103312011231 is a wasteful number, since it uses less digits than its factorization.

103312011231 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80273543 (or 80273540 counting only the distinct ones).

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

Adding to 103312011231 its reverse (132110213301), we get a palindrome (235422224532).

The spelling of 103312011231 in words is "one hundred three billion, three hundred twelve million, eleven thousand, two hundred thirty-one".

Divisors: 1 3 9 11 13 33 39 99 117 143 429 1287 80273513 240820539 722461617 883008643 1043555669 2649025929 3130667007 7947077787 9392001021 11479112359 34437337077 103312011231