Search a number
-
+
930304312241 = 17592184142467
BaseRepresentation
bin11011000100110100111…
…01010100001110110001
310021221021111200122112012
431202122131110032301
5110220230400442431
61551213110012305
7124132544116043
oct15423235241661
93257244618465
10930304312241
113295a3593147
12130371047095
136995bbcba05
1433054007a93
15192ecc1722b
hexd89a7543b1

930304312241 has 16 divisors (see below), whose sum is σ = 1001792940480. Its totient is φ = 860680504320.

The previous prime is 930304312121. The next prime is 930304312243. The reversal of 930304312241 is 142213403039.

930304312241 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 930304312241 - 210 = 930304311217 is a prime.

It is a super-2 number, since 2×9303043122412 (a number of 25 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 = 930304312198 and 930304312207.

It is not an unprimeable number, because it can be changed into a prime (930304312243) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21885290 + ... + 21927756.

It is an arithmetic number, because the mean of its divisors is an integer number (62612058780).

Almost surely, 2930304312241 is an apocalyptic number.

It is an amenable number.

930304312241 is a deficient number, since it is larger than the sum of its proper divisors (71488628239).

930304312241 is a wasteful number, since it uses less digits than its factorization.

930304312241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64384.

The product of its (nonzero) digits is 15552, while the sum is 32.

The spelling of 930304312241 in words is "nine hundred thirty billion, three hundred four million, three hundred twelve thousand, two hundred forty-one".

Divisors: 1 17 59 1003 21841 42467 371297 721939 1288619 2505553 21906523 42594401 927521747 15767869699 54723783073 930304312241