Search a number
-
+
131403310400024 = 231310091252223359
BaseRepresentation
bin11101111000001010110111…
…101000111000001000011000
3122020021000220122002211100222
4131320022313220320020120
5114210402434430300044
61143245503014015212
736451401346250525
oct3570126750701030
9566230818084328
10131403310400024
1138961916053003
12128a2a12947508
135842381c73030
142463d502d014c
15102d17d1628ee
hex7782b7a38218

131403310400024 has 32 divisors (see below), whose sum is σ = 265596574656000. Its totient is φ = 60587574953472.

The previous prime is 131403310400003. The next prime is 131403310400093. The reversal of 131403310400024 is 420004013304131.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a junction number, because it is equal to n+sod(n) for n = 131403310399966 and 131403310400002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 626006744 + ... + 626216615.

It is an arithmetic number, because the mean of its divisors is an integer number (8299892958000).

Almost surely, 2131403310400024 is an apocalyptic number.

It is an amenable number.

131403310400024 is an abundant number, since it is smaller than the sum of its proper divisors (134193264255976).

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

131403310400024 is a wasteful number, since it uses less digits than its factorization.

131403310400024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1252224387 (or 1252224383 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 26.

Adding to 131403310400024 its reverse (420004013304131), we get a palindrome (551407323704155).

The spelling of 131403310400024 in words is "one hundred thirty-one trillion, four hundred three billion, three hundred ten million, four hundred thousand, twenty-four".

Divisors: 1 2 4 8 13 26 52 104 1009 2018 4036 8072 13117 26234 52468 104936 1252223359 2504446718 5008893436 10017786872 16278903667 32557807334 65115614668 130231229336 1263493369231 2526986738462 5053973476924 10107946953848 16425413800003 32850827600006 65701655200012 131403310400024