Search a number
-
+
331131122102022 = 231120032504811889
BaseRepresentation
bin100101101001010010111100…
…0111010000010111100000110
31121102102211022020102201001020
41023102211320322002330012
5321400223014224231042
63132131312031412010
7126514301615331204
oct11322457072027406
91542384266381036
10331131122102022
1196565a13946440
123117b51a984006
131129c6b93031c8
145baab90748074
1528437314b23ec
hex12d2978e82f06

331131122102022 has 32 divisors (see below), whose sum is σ = 722828595968640. Its totient is φ = 100292667995520.

The previous prime is 331131122102021. The next prime is 331131122102041. The reversal of 331131122102022 is 220201221131133.

It is a junction number, because it is equal to n+sod(n) for n = 331131122101983 and 331131122102001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (331131122102021) 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, 1252273747 + ... + 1252538142.

It is an arithmetic number, because the mean of its divisors is an integer number (22588393624020).

Almost surely, 2331131122102022 is an apocalyptic number.

331131122102022 is an abundant number, since it is smaller than the sum of its proper divisors (391697473866618).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

331131122102022 is a wasteful number, since it uses less digits than its factorization.

331131122102022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2504813908.

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 331131122102022 its reverse (220201221131133), we get a palindrome (551332343233155).

The spelling of 331131122102022 in words is "three hundred thirty-one trillion, one hundred thirty-one billion, one hundred twenty-two million, one hundred two thousand, twenty-two".

Divisors: 1 2 3 6 11 22 33 66 2003 4006 6009 12018 22033 44066 66099 132198 2504811889 5009623778 7514435667 15028871334 27552930779 55105861558 82658792337 165317584674 5017138213667 10034276427334 15051414641001 30102829282002 55188520350337 110377040700674 165565561051011 331131122102022