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31232133123211 = 1959236091180099
BaseRepresentation
bin1110001100111110011000…
…01100110100110010001011
311002120202121001112122210001
413012133030030310302023
513043201402034420321
6150231502140103431
76402306242212216
oct706371414646213
9132522531478701
1031232133123211
119a51522a23219
123604bb6234b77
131457240006617
1479d90134c77d
153926459e9c91
hex1c67cc334c8b

31232133123211 has 16 divisors (see below), whose sum is σ = 33434593200000. Its totient is φ = 29085582741696.

The previous prime is 31232133123197. The next prime is 31232133123223. The reversal of 31232133123211 is 11232133123213.

It is a cyclic number.

It is not a de Polignac number, because 31232133123211 - 225 = 31232099568779 is a prime.

It is a super-4 number, since 4×312321331232114 (a number of 55 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 31232133123211.

It is not an unprimeable number, because it can be changed into a prime (31232133123241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25875640 + ... + 27055738.

It is an arithmetic number, because the mean of its divisors is an integer number (2089662075000).

Almost surely, 231232133123211 is an apocalyptic number.

31232133123211 is a deficient number, since it is larger than the sum of its proper divisors (2202460076789).

31232133123211 is a wasteful number, since it uses less digits than its factorization.

31232133123211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1203786.

The product of its digits is 3888, while the sum is 28.

Adding to 31232133123211 its reverse (11232133123213), we get a palindrome (42464266246424).

The spelling of 31232133123211 in words is "thirty-one trillion, two hundred thirty-two billion, one hundred thirty-three million, one hundred twenty-three thousand, two hundred eleven".

Divisors: 1 19 59 1121 23609 448571 1180099 1392931 22421881 26465689 69625841 1322890979 27860957291 529358188529 1643796480169 31232133123211