Search a number
-
+
1310013000023 = 713139103566527
BaseRepresentation
bin10011000100000010110…
…111000000100101010111
311122020101001120120000212
4103010002313000211113
5132430401312000043
62441451153000035
7163434225526310
oct23040267004527
94566331516025
101310013000023
11465634206322
12191a8085301b
13966c26b6b20
1447595333607
1524123000018
hex13102dc0957

1310013000023 has 16 divisors (see below), whose sum is σ = 1623923159040. Its totient is φ = 1029037002336.

The previous prime is 1310013000017. The next prime is 1310013000041. The reversal of 1310013000023 is 3200003100131.

It is not a de Polignac number, because 1310013000023 - 212 = 1310012995927 is a prime.

It is a super-2 number, since 2×13100130000232 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1310012999971 and 1310013000007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1310013000053) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 51770615 + ... + 51795912.

It is an arithmetic number, because the mean of its divisors is an integer number (101495197440).

Almost surely, 21310013000023 is an apocalyptic number.

1310013000023 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

1310013000023 is a deficient number, since it is larger than the sum of its proper divisors (313910159017).

1310013000023 is a wasteful number, since it uses less digits than its factorization.

1310013000023 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103566686.

The product of its (nonzero) digits is 54, while the sum is 14.

Adding to 1310013000023 its reverse (3200003100131), we get a palindrome (4510016100154).

The spelling of 1310013000023 in words is "one trillion, three hundred ten billion, thirteen million, twenty-three", and thus it is an aban number.

Divisors: 1 7 13 91 139 973 1807 12649 103566527 724965689 1346364851 9424553957 14395747253 100770230771 187144714289 1310013000023