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114333421131 = 33371132633851
BaseRepresentation
bin110101001111011001…
…1011000111001001011
3101221010002111120122000
41222132303120321023
53333123323434011
6124305110002043
711155201021206
oct1523663307113
9357102446560
10114333421131
1144541265596
121a1aa046323
13aa2121b617
14576892a93d
152e9277e356
hex1a9ecd8e4b

114333421131 has 64 divisors (see below), whose sum is σ = 176213283840. Its totient is φ = 73207411200.

The previous prime is 114333421099. The next prime is 114333421183. The reversal of 114333421131 is 131124333411.

114333421131 is a `hidden beast` number, since 11 + 433 + 3 + 4 + 211 + 3 + 1 = 666.

It is not a de Polignac number, because 114333421131 - 25 = 114333421099 is a prime.

It is a super-2 number, since 2×1143334211312 (a number of 23 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 = 114333421095 and 114333421104.

It is not an unprimeable number, because it can be changed into a prime (114333421331) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 29687356 + ... + 29691206.

It is an arithmetic number, because the mean of its divisors is an integer number (2753332560).

Almost surely, 2114333421131 is an apocalyptic number.

114333421131 is a deficient number, since it is larger than the sum of its proper divisors (61879862709).

114333421131 is a wasteful number, since it uses less digits than its factorization.

114333421131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4273 (or 4267 counting only the distinct ones).

The product of its digits is 2592, while the sum is 27.

Adding to 114333421131 its reverse (131124333411), we get a palindrome (245457754542).

The spelling of 114333421131 in words is "one hundred fourteen billion, three hundred thirty-three million, four hundred twenty-one thousand, one hundred thirty-one".

Divisors: 1 3 9 27 37 111 113 263 333 339 789 999 1017 2367 3051 3851 4181 7101 9731 11553 12543 29193 29719 34659 37629 87579 89157 103977 112887 142487 262737 267471 427461 435163 802413 1012813 1099603 1282383 1305489 3038439 3298809 3847149 3916467 9115317 9896427 11749401 16101031 27345951 29689281 37474081 48303093 112422243 114447869 144909279 337266729 343343607 434727837 1011800187 1030030821 3090092463 4234571153 12703713459 38111140377 114333421131