Search a number
-
+
12044543402331 = 32112293710307723
BaseRepresentation
bin1010111101000101011010…
…1110110010000101011011
31120122110001221100101121100
42233101112232302011123
53034314211102333311
641341104205442443
72352122004462156
oct257212656620533
946573057311540
1012044543402331
113924075828300
121426391270423
13694a45b33c9b
142d8d5d752c9d
1515d48d71aa56
hexaf456bb215b

12044543402331 has 72 divisors (see below), whose sum is σ = 20317142467440. Its totient is φ = 6857521292160.

The previous prime is 12044543402299. The next prime is 12044543402363. The reversal of 12044543402331 is 13320434544021.

12044543402331 is a `hidden beast` number, since 1 + 2 + 0 + 44 + 543 + 40 + 2 + 3 + 31 = 666.

It is an interprime number because it is at equal distance from previous prime (12044543402299) and next prime (12044543402363).

It is not a de Polignac number, because 12044543402331 - 25 = 12044543402299 is a prime.

It is a super-2 number, since 2×120445434023312 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12044543402131) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3985365 + ... + 6322358.

It is an arithmetic number, because the mean of its divisors is an integer number (282182534270).

Almost surely, 212044543402331 is an apocalyptic number.

12044543402331 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

12044543402331 is a deficient number, since it is larger than the sum of its proper divisors (8272599065109).

12044543402331 is a wasteful number, since it uses less digits than its factorization.

12044543402331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10307817 (or 10307803 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 36.

Adding to 12044543402331 its reverse (13320434544021), we get a palindrome (25364977946352).

The spelling of 12044543402331 in words is "twelve trillion, forty-four billion, five hundred forty-three million, four hundred two thousand, three hundred thirty-one".

Divisors: 1 3 9 11 29 33 37 87 99 111 121 261 319 333 363 407 957 1073 1089 1221 2871 3219 3509 3663 4477 9657 10527 11803 13431 31581 35409 40293 106227 129833 389499 1168497 10307723 30923169 92769507 113384953 298923967 340154859 381385751 896771901 1020464577 1144157253 1247234483 2690315703 3288163637 3432471759 3741703449 4195243261 9864490911 11060186779 11225110347 12585729783 29593472733 33180560337 36169800007 37757189349 46147675871 99541681011 108509400021 121662054569 138443027613 325528200063 364986163707 415329082839 1094958491121 1338282600259 4014847800777 12044543402331