Search a number
-
+
1013130000404 = 221373799348661
BaseRepresentation
bin11101011111000110100…
…00001111100000010100
310120212001202211112222022
432233203100033200110
5113044342240003104
62053231523552312
7133124206625414
oct16574320174024
93525052745868
101013130000404
113607365225a5
1214442722b698
13746cb586252
1437070172644
151b5492e6bbe
hexebe340f814

1013130000404 has 24 divisors (see below), whose sum is σ = 1786002651048. Its totient is φ = 502843875840.

The previous prime is 1013130000397. The next prime is 1013130000437. The reversal of 1013130000404 is 4040000313101.

It can be written as a sum of positive squares in 4 ways, for example, as 91776400 + 1013038224004 = 9580^2 + 1006498^2 .

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 20795834 + ... + 20844494.

It is an arithmetic number, because the mean of its divisors is an integer number (74416777127).

Almost surely, 21013130000404 is an apocalyptic number.

It is an amenable number.

1013130000404 is a deficient number, since it is larger than the sum of its proper divisors (772872650644).

1013130000404 is a wasteful number, since it uses less digits than its factorization.

1013130000404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86795 (or 86793 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 1013130000404 its reverse (4040000313101), we get a palindrome (5053130313505).

The spelling of 1013130000404 in words is "one trillion, thirteen billion, one hundred thirty million, four hundred four", and thus it is an aban number.

Divisors: 1 2 4 137 274 548 37993 48661 75986 97322 151972 194644 5205041 6666557 10410082 13333114 20820164 26666228 1848777373 3697554746 7395109492 253282500101 506565000202 1013130000404