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12033233233021 = 7211132163810437
BaseRepresentation
bin1010111100011011010010…
…0101111010010001111101
31120121100212201021021001201
42233012310211322101331
53034123030201424041
641331554021335501
72351241510563500
oct257066445722175
946540781237051
1012033233233021
11391a2a14aa740
121424155567591
1369396288ac00
142d85a95c3137
1515d02a80e631
hexaf1b497a47d

12033233233021 has 72 divisors (see below), whose sum is σ = 16636839835104. Its totient is φ = 8602162208640.

The previous prime is 12033233233019. The next prime is 12033233233067.

12033233233021 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 12033233233021 - 21 = 12033233233019 is a prime.

It is a super-3 number, since 3×120332332330213 (a number of 40 digits) contains 333 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12033233233121) 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, 14442615 + ... + 15253051.

It is an arithmetic number, because the mean of its divisors is an integer number (231067219932).

Almost surely, 212033233233021 is an apocalyptic number.

12033233233021 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12033233233021 is a deficient number, since it is larger than the sum of its proper divisors (4603606602083).

12033233233021 is a wasteful number, since it uses less digits than its factorization.

12033233233021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 810651 (or 810631 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 28.

It can be divided in two parts, 1203323 and 3233021, that added together give a palindrome (4436344).

The spelling of 12033233233021 in words is "twelve trillion, thirty-three billion, two hundred thirty-three million, two hundred thirty-three thousand, twenty-one".

Divisors: 1 7 11 13 49 77 91 143 163 169 539 637 1001 1141 1183 1793 1859 2119 7007 7987 8281 12551 13013 14833 23309 27547 87857 91091 103831 163163 192829 303017 810437 1142141 1349803 2121119 5673059 8914807 10535681 14847833 39711413 62403649 73749767 115892491 132101231 136963853 436825543 516248369 811247437 924708617 958746971 1453113541 1506602383 1717316003 5678732059 6472960319 6711228797 10171794787 10546216681 12021212021 18890476033 22325108039 71202563509 73823516767 84148484147 132233332231 156275756273 245576188429 925633325617 1093930293911 1719033319003 12033233233021