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12004010230311 = 3311127318248369
BaseRepresentation
bin1010111010101110011011…
…0001000000001000100111
31120111120110010000220121000
42232223212301000020213
53033133203104332221
641310322143124343
72346155364265041
oct256534661001047
946446403026530
1012004010230311
113908965916230
12141a55a8a36b3
13690c86483928
142d6dd6436a91
1515c3ba016e26
hexaeae6c40227

12004010230311 has 32 divisors (see below), whose sum is σ = 19553179852800. Its totient is φ = 7217872986240.

The previous prime is 12004010230271. The next prime is 12004010230319. The reversal of 12004010230311 is 11303201040021.

12004010230311 is a `hidden beast` number, since 1 + 2 + 0 + 0 + 401 + 0 + 230 + 31 + 1 = 666.

It is not a de Polignac number, because 12004010230311 - 211 = 12004010228263 is a prime.

It is a super-2 number, since 2×120040102303112 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12004010230319) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 159086466 + ... + 159161903.

It is an arithmetic number, because the mean of its divisors is an integer number (611036870400).

Almost surely, 212004010230311 is an apocalyptic number.

12004010230311 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

12004010230311 is a deficient number, since it is larger than the sum of its proper divisors (7549169622489).

12004010230311 is a wasteful number, since it uses less digits than its factorization.

12004010230311 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 318248516 (or 318248510 counting only the distinct ones).

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

Adding to 12004010230311 its reverse (11303201040021), we get a palindrome (23307211270332).

The spelling of 12004010230311 in words is "twelve trillion, four billion, ten million, two hundred thirty thousand, three hundred eleven".

Divisors: 1 3 9 11 27 33 99 127 297 381 1143 1397 3429 4191 12573 37719 318248369 954745107 2864235321 3500732059 8592705963 10502196177 31506588531 40417542863 94519765593 121252628589 363757885767 444592971493 1091273657301 1333778914479 4001336743437 12004010230311