Search a number
-
+
9930314103 = 331415714561
BaseRepresentation
bin10010011111110010…
…01001000101110111
3221122001122020001020
421033321021011313
5130314130022403
64321213032223
7501040164033
oct111771110567
927561566036
109930314103
114236448a66
121b11785673
13c2342b908
146a2bc31c3
153d1be5453
hex24fe49177

9930314103 has 32 divisors (see below), whose sum is σ = 14028478464. Its totient is φ = 6238080000.

The previous prime is 9930314089. The next prime is 9930314111. The reversal of 9930314103 is 3014130399.

It is not a de Polignac number, because 9930314103 - 26 = 9930314039 is a prime.

It is a super-2 number, since 2×99303141032 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9930354103) 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 31 ways as a sum of consecutive naturals, for example, 2174943 + ... + 2179503.

It is an arithmetic number, because the mean of its divisors is an integer number (438389952).

Almost surely, 29930314103 is an apocalyptic number.

9930314103 is a gapful number since it is divisible by the number (93) formed by its first and last digit.

9930314103 is a deficient number, since it is larger than the sum of its proper divisors (4098164361).

9930314103 is a wasteful number, since it uses less digits than its factorization.

9930314103 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5207.

The product of its (nonzero) digits is 8748, while the sum is 33.

The square root of 9930314103 is about 99650.9613751920. The cubic root of 9930314103 is about 2149.4185630180.

The spelling of 9930314103 in words is "nine billion, nine hundred thirty million, three hundred fourteen thousand, one hundred three".

Divisors: 1 3 31 41 93 123 571 1271 1713 3813 4561 13683 17701 23411 53103 70233 141391 187001 424173 561003 725741 2177223 2604331 5797031 7812993 17391093 80734261 106777571 242202783 320332713 3310104701 9930314103