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130401435340 = 225111973008801
BaseRepresentation
bin111100101110010000…
…1111111111011001100
3110110120220022021101101
41321130201333323030
54114030231412330
6135523335152444
712264316624531
oct1713441777314
9413526267341
10130401435340
1150337235480
1221333215724
13c3b20c9537
146450924d88
1535d320c4ca
hex1e5c87fecc

130401435340 has 48 divisors (see below), whose sum is σ = 300254369184. Its totient is φ = 47177984000.

The previous prime is 130401435323. The next prime is 130401435377. The reversal of 130401435340 is 43534104031.

It is a junction number, because it is equal to n+sod(n) for n = 130401435299 and 130401435308.

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 15 ways as a sum of consecutive naturals, for example, 1461061 + ... + 1547740.

It is an arithmetic number, because the mean of its divisors is an integer number (6255299358).

Almost surely, 2130401435340 is an apocalyptic number.

130401435340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

130401435340 is an abundant number, since it is smaller than the sum of its proper divisors (169852933844).

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

130401435340 is a wasteful number, since it uses less digits than its factorization.

130401435340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3009018 (or 3009016 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 28.

Adding to 130401435340 its reverse (43534104031), we get a palindrome (173935539371).

The spelling of 130401435340 in words is "one hundred thirty billion, four hundred one million, four hundred thirty-five thousand, three hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 197 220 394 788 985 1970 2167 3940 4334 8668 10835 21670 43340 3008801 6017602 12035204 15044005 30088010 33096811 60176020 66193622 132387244 165484055 330968110 592733797 661936220 1185467594 2370935188 2963668985 5927337970 6520071767 11854675940 13040143534 26080287068 32600358835 65200717670 130401435340