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12133002002331 = 374732119382727
BaseRepresentation
bin1011000010001110111101…
…0001100011111110011011
31120221220101202210212102210
42300203233101203332123
53042241342003033311
641445454004330203
72361403046252160
oct260435721437633
946856352725383
1012133002002331
1139586393617a1
12143b5599a3963
136a01a24ca152
142dd351a52067
151609195c13a6
hexb08ef463f9b

12133002002331 has 32 divisors (see below), whose sum is σ = 18882391080960. Its totient is φ = 6785401304736.

The previous prime is 12133002002291. The next prime is 12133002002351. The reversal of 12133002002331 is 13320020033121.

It is not a de Polignac number, because 12133002002331 - 26 = 12133002002267 is a prime.

It is a super-2 number, since 2×121330020023312 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 12133002002298 and 12133002002307.

It is not an unprimeable number, because it can be changed into a prime (12133002002351) 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, 31510090 + ... + 31892816.

It is an arithmetic number, because the mean of its divisors is an integer number (590074721280).

Almost surely, 212133002002331 is an apocalyptic number.

12133002002331 is a deficient number, since it is larger than the sum of its proper divisors (6749389078629).

12133002002331 is a wasteful number, since it uses less digits than its factorization.

12133002002331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 414903.

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 12133002002331 its reverse (13320020033121), we get a palindrome (25453022035452).

The spelling of 12133002002331 in words is "twelve trillion, one hundred thirty-three billion, two million, two thousand, three hundred thirty-one".

Divisors: 1 3 7 21 47 141 329 987 32119 96357 224833 382727 674499 1148181 1509593 2679089 4528779 8037267 10567151 17988169 31701453 53964507 125917183 377751549 12292808513 36878425539 86049659591 258148978773 577762000111 1733286000333 4044334000777 12133002002331