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12003114143331 = 3217194129038233
BaseRepresentation
bin1010111010101011000101…
…0110101100111001100011
31120111111010122212222100100
42232222301112230321203
53033124334210041311
641310053212553443
72346124233544413
oct256526126547143
946444118788310
1012003114143331
113908546016883
12141a34a782883
13690b7292a34c
142d6d4d418643
1515c36650ea56
hexaeab15ace63

12003114143331 has 24 divisors (see below), whose sum is σ = 19323898935120. Its totient is φ = 7134978064896.

The previous prime is 12003114143281. The next prime is 12003114143353. The reversal of 12003114143331 is 13334141130021.

12003114143331 is a `hidden beast` number, since 1 + 2 + 0 + 0 + 311 + 4 + 14 + 3 + 331 = 666.

It is not a de Polignac number, because 12003114143331 - 211 = 12003114141283 is a prime.

It is a super-2 number, since 2×120031141433312 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12003114143295 and 12003114143304.

It is not an unprimeable number, because it can be changed into a prime (12003114143231) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2064516210 + ... + 2064522023.

It is an arithmetic number, because the mean of its divisors is an integer number (805162455630).

Almost surely, 212003114143331 is an apocalyptic number.

12003114143331 is a deficient number, since it is larger than the sum of its proper divisors (7320784791789).

12003114143331 is a wasteful number, since it uses less digits than its factorization.

12003114143331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4129038275 (or 4129038272 counting only the distinct ones).

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

Adding to 12003114143331 its reverse (13334141130021), we get a palindrome (25337255273352).

The spelling of 12003114143331 in words is "twelve trillion, three billion, one hundred fourteen million, one hundred forty-three thousand, three hundred thirty-one".

Divisors: 1 3 9 17 19 51 57 153 171 323 969 2907 4129038233 12387114699 37161344097 70193649961 78451726427 210580949883 235355179281 631742849649 706065537843 1333679349259 4001038047777 12003114143331