Search a number
-
+
31144113 = 32711133457
BaseRepresentation
bin111011011001…
…1100010110001
32011121021200200
41312303202301
530433102423
63031305413
7525502110
oct166634261
964537620
1031144113
1116642040
12a51b269
1365b5990
1441c9c77
152b02d43
hex1db38b1

31144113 has 48 divisors (see below), whose sum is σ = 60418176. Its totient is φ = 14929920.

The previous prime is 31144111. The next prime is 31144147.

31144113 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 31144113 - 21 = 31144111 is a prime.

It is not an unprimeable number, because it can be changed into a prime (31144111) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7281 + ... + 10737.

It is an arithmetic number, because the mean of its divisors is an integer number (1258712).

Almost surely, 231144113 is an apocalyptic number.

31144113 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

31144113 is a deficient number, since it is larger than the sum of its proper divisors (29274063).

31144113 is a wasteful number, since it uses less digits than its factorization.

31144113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3494 (or 3491 counting only the distinct ones).

The product of its digits is 144, while the sum is 18.

The square root of 31144113 is about 5580.6910862365. The cubic root of 31144113 is about 314.6241018735.

It can be divided in two parts, 3114 and 4113, that added together give a palindrome (7227).

The spelling of 31144113 in words is "thirty-one million, one hundred forty-four thousand, one hundred thirteen".

Divisors: 1 3 7 9 11 13 21 33 39 63 77 91 99 117 143 231 273 429 693 819 1001 1287 3003 3457 9009 10371 24199 31113 38027 44941 72597 114081 134823 217791 266189 314587 342243 404469 494351 798567 943761 1483053 2395701 2831283 3460457 4449159 10381371 31144113