Search a number
-
+
10002333319 = 116736713697
BaseRepresentation
bin10010101000010111…
…10111111010000111
3221211002011011211121
421110023313322013
5130441044131234
64332304414411
7502603300426
oct112413677207
927732134747
1010002333319
114273069080
121b31917407
13c35326534
146ac5ad2bd
153d81be4b4
hex2542f7e87

10002333319 has 16 divisors (see below), whose sum is σ = 11080509696. Its totient is φ = 8952451200.

The previous prime is 10002333281. The next prime is 10002333323. The reversal of 10002333319 is 91333320001.

It is not a de Polignac number, because 10002333319 - 211 = 10002331271 is a prime.

It is a super-2 number, since 2×100023333192 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10002333293 and 10002333302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10002333359) 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, 2703679 + ... + 2707375.

It is an arithmetic number, because the mean of its divisors is an integer number (692531856).

Almost surely, 210002333319 is an apocalyptic number.

10002333319 is a deficient number, since it is larger than the sum of its proper divisors (1078176377).

10002333319 is a wasteful number, since it uses less digits than its factorization.

10002333319 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7446.

The product of its (nonzero) digits is 1458, while the sum is 25.

The spelling of 10002333319 in words is "ten billion, two million, three hundred thirty-three thousand, three hundred nineteen".

Divisors: 1 11 67 737 3671 3697 40381 40667 245957 247699 2705527 2724689 13571687 149288557 909303029 10002333319