Search a number
-
+
114133131 = 3471011993
BaseRepresentation
bin1101100110110…
…00100010001011
321221202120020000
412303120202023
5213204230011
615154134043
72554054440
oct663304213
9257676200
10114133131
1159474a02
1232281323
131a8516c8
141122d9c7
15a047356
hex6cd888b

114133131 has 40 divisors (see below), whose sum is σ = 196879584. Its totient is φ = 64540800.

The previous prime is 114133127. The next prime is 114133177. The reversal of 114133131 is 131331411.

It is not a de Polignac number, because 114133131 - 22 = 114133127 is a prime.

It is a super-2 number, since 2×1141331312 = 26052743183726322, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (114133031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 56271 + ... + 58263.

Almost surely, 2114133131 is an apocalyptic number.

114133131 is a deficient number, since it is larger than the sum of its proper divisors (82746453).

114133131 is a wasteful number, since it uses less digits than its factorization.

114133131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2113 (or 2104 counting only the distinct ones).

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

The square root of 114133131 is about 10683.3108632109. The cubic root of 114133131 is about 485.0694356250.

Adding to 114133131 its reverse (131331411), we get a palindrome (245464542).

The spelling of 114133131 in words is "one hundred fourteen million, one hundred thirty-three thousand, one hundred thirty-one".

Divisors: 1 3 7 9 21 27 63 81 101 189 303 567 707 909 1993 2121 2727 5979 6363 8181 13951 17937 19089 41853 53811 57267 125559 161433 201293 376677 603879 1130031 1409051 1811637 4227153 5434911 12681459 16304733 38044377 114133131