Search a number
-
+
103413124311 = 378235983517
BaseRepresentation
bin110000001001111100…
…1110000110011010111
3100212221001001000121020
41200103321300303113
53143242224434221
6115301330052223
710320450024150
oct1402371606327
9325831030536
10103413124311
113a9480159a2
1218060a1a073
1399a097c223
145010486927
152a53bd5ac6
hex1813e70cd7

103413124311 has 16 divisors (see below), whose sum is σ = 157773402624. Its totient is φ = 59021401824.

The previous prime is 103413124307. The next prime is 103413124319. The reversal of 103413124311 is 113421314301.

It is a happy number.

It is not a de Polignac number, because 103413124311 - 22 = 103413124307 is a prime.

It is a super-3 number, since 3×1034131243113 (a number of 34 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103413124319) 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 15 ways as a sum of consecutive naturals, for example, 2974476 + ... + 3009041.

It is an arithmetic number, because the mean of its divisors is an integer number (9860837664).

Almost surely, 2103413124311 is an apocalyptic number.

103413124311 is a deficient number, since it is larger than the sum of its proper divisors (54360278313).

103413124311 is an equidigital number, since it uses as much as digits as its factorization.

103413124311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5984350.

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 103413124311 its reverse (113421314301), we get a palindrome (216834438612).

The spelling of 103413124311 in words is "one hundred three billion, four hundred thirteen million, one hundred twenty-four thousand, three hundred eleven".

Divisors: 1 3 7 21 823 2469 5761 17283 5983517 17950551 41884619 125653857 4924434491 14773303473 34471041437 103413124311