Search a number
-
+
413112400401103 = 13174739772061269
BaseRepresentation
bin101110111101110010011100…
…1111000001101001011001111
32000011201011022110221122001221
41131323210321320031023033
5413121413144000313403
64022341114454144211
7153005246252231314
oct13573447170151317
92004634273848057
10413112400401103
1110a6a2a92232367
123a3bbb4b052067
1314968441acc440
147402a65578d0b
1532b60054b2dbd
hex177b939e0d2cf

413112400401103 has 16 divisors (see below), whose sum is σ = 481082853121920. Its totient is φ = 351266845118976.

The previous prime is 413112400401079. The next prime is 413112400401119. The reversal of 413112400401103 is 301104004211314.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-413112400401103 is a prime.

It is a super-2 number, since 2×4131124004011032 (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (413112400401133) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19886020248 + ... + 19886041021.

It is an arithmetic number, because the mean of its divisors is an integer number (30067678320120).

Almost surely, 2413112400401103 is an apocalyptic number.

413112400401103 is a deficient number, since it is larger than the sum of its proper divisors (67970452720817).

413112400401103 is a wasteful number, since it uses less digits than its factorization.

413112400401103 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39772061346.

The product of its (nonzero) digits is 1152, while the sum is 25.

Adding to 413112400401103 its reverse (301104004211314), we get a palindrome (714216404612417).

The spelling of 413112400401103 in words is "four hundred thirteen trillion, one hundred twelve billion, four hundred million, four hundred one thousand, one hundred three".

Divisors: 1 13 17 47 221 611 799 10387 39772061269 517036796497 676125041573 1869286879643 8789625540449 24300729435359 31777876953931 413112400401103