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12032322323021 = 7211132235743097
BaseRepresentation
bin1010111100010111111001…
…0011000100001001001101
31120121021112020020020110022
42233011332103010021031
53034114144003314041
641331323401351525
72351210110145300
oct257057623041115
946537466206408
1012032322323021
1139199742a6560
121423b404985a5
13693848c44700
142d8520626b37
1515cec587a24b
hexaf17e4c424d

12032322323021 has 72 divisors (see below), whose sum is σ = 17253001508544. Its totient is φ = 8278328298240.

The previous prime is 12032322322957. The next prime is 12032322323029.

12032322323021 is nontrivially palindromic in base 10.

12032322323021 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 12032322323021 - 26 = 12032322322957 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12032322323029) 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, 776456 + ... + 4966641.

It is an arithmetic number, because the mean of its divisors is an integer number (239625020952).

Almost surely, 212032322323021 is an apocalyptic number.

12032322323021 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12032322323021 is a deficient number, since it is larger than the sum of its proper divisors (5220679185523).

12032322323021 is a wasteful number, since it uses less digits than its factorization.

12032322323021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5743171 (or 5743151 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 26.

It can be divided in two parts, 1203232 and 2323021, that added together give a palindrome (3526253).

The spelling of 12032322323021 in words is "twelve trillion, thirty-two billion, three hundred twenty-two million, three hundred twenty-three thousand, twenty-one".

Divisors: 1 7 11 13 23 49 77 91 143 161 169 253 299 539 637 1001 1127 1183 1771 1859 2093 3289 3887 7007 8281 12397 13013 14651 23023 27209 42757 91091 161161 190463 299299 2095093 5743097 40201679 63174067 74660261 132091231 281411753 442218469 522621827 821262871 924638617 970583393 1453003541 1717186003 3095529283 3658352789 5748840097 6472470319 6794083751 10171024787 10676417323 12020302021 18889046033 22323418039 40241880679 47558586257 71197173509 74734921261 84142114147 132223322231 156263926273 245557598429 523144448827 925563255617 1093847483911 1718903189003 12032322323021