Search a number
-
+
103330002010311 = 3323414058363851
BaseRepresentation
bin10111011111101001100100…
…000100001000000011000111
3111112212020210111120212111000
4113133221210010020003013
5102020424321003312221
61003433051514344343
730523226530202556
oct2737514404100307
9445766714525430
10103330002010311
112aa1900a36659a
12b70a06872b0b3
134586c923c186b
141b732ad659d9d
15be2cb5596e26
hex5dfa641080c7

103330002010311 has 32 divisors (see below), whose sum is σ = 163633230512640. Its totient is φ = 64284483384000.

The previous prime is 103330002010309. The next prime is 103330002010349. The reversal of 103330002010311 is 113010200033301.

It is a happy number.

103330002010311 is a `hidden beast` number, since 1 + 0 + 3 + 330 + 0 + 0 + 20 + 1 + 0 + 311 = 666.

It is not a de Polignac number, because 103330002010311 - 21 = 103330002010309 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103330002010111) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2029156465 + ... + 2029207386.

It is an arithmetic number, because the mean of its divisors is an integer number (5113538453520).

Almost surely, 2103330002010311 is an apocalyptic number.

103330002010311 is a deficient number, since it is larger than the sum of its proper divisors (60303228502329).

103330002010311 is a wasteful number, since it uses less digits than its factorization.

103330002010311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4058363924 (or 4058363918 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 103330002010311 its reverse (113010200033301), we get a palindrome (216340202043612).

The spelling of 103330002010311 in words is "one hundred three trillion, three hundred thirty billion, two million, ten thousand, three hundred eleven".

Divisors: 1 3 9 23 27 41 69 123 207 369 621 943 1107 2829 8487 25461 4058363851 12175091553 36525274659 93342368573 109575823977 166392917891 280027105719 499178753673 840081317157 1497536261019 2520243951471 3827037111493 4492608783057 11481111334479 34443334003437 103330002010311