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131023410102 = 232133715133219
BaseRepresentation
bin111101000000110011…
…0101001001110110110
3110112012020122212100200
41322001212221032312
54121313443110402
6140105154221330
712315611416164
oct1720146511666
9415166585320
10131023410102
1150626332302
1221487584846
13c480c1a340
1464ad38c234
15361cb1b21c
hex1e819a93b6

131023410102 has 48 divisors (see below), whose sum is σ = 313984048560. Its totient is φ = 39225301056.

The previous prime is 131023410101. The next prime is 131023410113. The reversal of 131023410102 is 201014320131.

131023410102 is a `hidden beast` number, since 1 + 310 + 2 + 341 + 0 + 10 + 2 = 666.

131023410102 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131023410101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7557952 + ... + 7575267.

It is an arithmetic number, because the mean of its divisors is an integer number (6541334345).

Almost surely, 2131023410102 is an apocalyptic number.

131023410102 is an abundant number, since it is smaller than the sum of its proper divisors (182960638458).

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

131023410102 is a wasteful number, since it uses less digits than its factorization.

131023410102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15133277 (or 15133274 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 131023410102 its reverse (201014320131), we get a palindrome (332037730233).

The spelling of 131023410102 in words is "one hundred thirty-one billion, twenty-three million, four hundred ten thousand, one hundred two".

Divisors: 1 2 3 6 9 13 18 26 37 39 74 78 111 117 222 234 333 481 666 962 1443 2886 4329 8658 15133219 30266438 45399657 90799314 136198971 196731847 272397942 393463694 559929103 590195541 1119858206 1180391082 1679787309 1770586623 3359574618 3541173246 5039361927 7279078339 10078723854 14558156678 21837235017 43674470034 65511705051 131023410102