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131330210022 = 232114091621721
BaseRepresentation
bin111101001001111100…
…0111111100011100110
3110112222121221220201200
41322103320333203212
54122431013210042
6140155434103330
712326325236454
oct1722370774346
9415877856650
10131330210022
1150773530660
122155227ab46
13c4cc65925b
1464dc0119d4
153639a1ec4c
hex1e93e3f8e6

131330210022 has 48 divisors (see below), whose sum is σ = 311176017360. Its totient is φ = 39699705600.

The previous prime is 131330210003. The next prime is 131330210101. The reversal of 131330210022 is 220012033131.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 131330209977 and 131330210004.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 729879 + ... + 891842.

It is an arithmetic number, because the mean of its divisors is an integer number (6482833695).

Almost surely, 2131330210022 is an apocalyptic number.

131330210022 is an abundant number, since it is smaller than the sum of its proper divisors (179845807338).

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

131330210022 is a wasteful number, since it uses less digits than its factorization.

131330210022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1622149 (or 1622146 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 131330210022 its reverse (220012033131), we get a palindrome (351342243153).

The spelling of 131330210022 in words is "one hundred thirty-one billion, three hundred thirty million, two hundred ten thousand, twenty-two".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 198 409 818 1227 2454 3681 4499 7362 8998 13497 26994 40491 80982 1621721 3243442 4865163 9730326 14595489 17838931 29190978 35677862 53516793 107033586 160550379 321100758 663283889 1326567778 1989851667 3979703334 5969555001 7296122779 11939110002 14592245558 21888368337 43776736674 65665105011 131330210022