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130404442131 = 3383140941299
BaseRepresentation
bin111100101110010110…
…1011110000000010011
3110110121002222000221000
41321130231132000103
54114032014122011
6135523523433043
712264354316635
oct1713455360023
9413532860830
10130404442131
11503389a9527
1221334225783
13c3b290ccc2
1464510a8a55
1535d3603356
hex1e5cb5e013

130404442131 has 32 divisors (see below), whose sum is σ = 195662880000. Its totient is φ = 85825833984.

The previous prime is 130404442123. The next prime is 130404442193. The reversal of 130404442131 is 131244404031.

130404442131 is a `hidden beast` number, since 1 + 3 + 0 + 4 + 0 + 444 + 213 + 1 = 666.

It is not a de Polignac number, because 130404442131 - 23 = 130404442123 is a prime.

It is a super-2 number, since 2×1304044421312 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 130404442095 and 130404442104.

It is not an unprimeable number, because it can be changed into a prime (130404432131) 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 31 ways as a sum of consecutive naturals, for example, 3136920 + ... + 3178218.

It is an arithmetic number, because the mean of its divisors is an integer number (6114465000).

Almost surely, 2130404442131 is an apocalyptic number.

130404442131 is a deficient number, since it is larger than the sum of its proper divisors (65258437869).

130404442131 is a wasteful number, since it uses less digits than its factorization.

130404442131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42800 (or 42794 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 130404442131 its reverse (131244404031), we get a palindrome (261648846162).

The spelling of 130404442131 in words is "one hundred thirty billion, four hundred four million, four hundred forty-two thousand, one hundred thirty-one".

Divisors: 1 3 9 27 83 249 747 1409 2241 4227 12681 38043 41299 116947 123897 350841 371691 1052523 1115073 3157569 3427817 10283451 30850353 58190291 92551059 174570873 523712619 1571137857 4829794153 14489382459 43468147377 130404442131