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131331223101 = 3132311832913
BaseRepresentation
bin111101001001111110…
…0110110111000111101
3110112222200212101102010
41322103330312320331
54122431243114401
6140155511521433
712326336656161
oct1722374667075
9415880771363
10131331223101
1150774062811
1221552689279
13c4cc922400
1464dc1d6ca1
153639b6eed6
hex1e93f36e3d

131331223101 has 24 divisors (see below), whose sum is σ = 190224230976. Its totient is φ = 80559248640.

The previous prime is 131331223091. The next prime is 131331223189. The reversal of 131331223101 is 101322133131.

It is a happy number.

It is not a de Polignac number, because 131331223101 - 213 = 131331214909 is a prime.

It is a super-2 number, since 2×1313312231012 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131331223601) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 258780 + ... + 574133.

It is an arithmetic number, because the mean of its divisors is an integer number (7926009624).

Almost surely, 2131331223101 is an apocalyptic number.

It is an amenable number.

131331223101 is a deficient number, since it is larger than the sum of its proper divisors (58893007875).

131331223101 is a wasteful number, since it uses less digits than its factorization.

131331223101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 833253 (or 833240 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 21.

Adding to 131331223101 its reverse (101322133131), we get a palindrome (232653356232).

The spelling of 131331223101 in words is "one hundred thirty-one billion, three hundred thirty-one million, two hundred twenty-three thousand, one hundred one".

Divisors: 1 3 13 39 169 311 507 933 4043 12129 52559 157677 832913 2498739 10827869 32483607 140762297 259035943 422286891 777107829 3367467259 10102401777 43777074367 131331223101