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30294049203 = 321121131731423
BaseRepresentation
bin11100001101101010…
…101000000110110011
32220012020121011001100
4130031222220012303
5444020234033303
621530014335443
72121500112105
oct341552500663
986166534040
1030294049203
1111936223600
125a554ba583
132b1a28b402
14167550d575
15bc485e8a3
hex70daa81b3

30294049203 has 72 divisors (see below), whose sum is σ = 48838136256. Its totient is φ = 18079649280.

The previous prime is 30294049171. The next prime is 30294049229.

30294049203 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 30294049203 - 25 = 30294049171 is a prime.

It is a super-2 number, since 2×302940492032 (a number of 22 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (30294049243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 21288150 + ... + 21289572.

It is an arithmetic number, because the mean of its divisors is an integer number (678307448).

Almost surely, 230294049203 is an apocalyptic number.

30294049203 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

30294049203 is a deficient number, since it is larger than the sum of its proper divisors (18544087053).

30294049203 is a wasteful number, since it uses less digits than its factorization.

30294049203 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1737 (or 1723 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The spelling of 30294049203 in words is "thirty billion, two hundred ninety-four million, forty-nine thousand, two hundred three".

Divisors: 1 3 9 11 33 99 113 121 173 339 363 519 1017 1089 1243 1423 1557 1903 3729 4269 5709 11187 12807 13673 15653 17127 19549 20933 41019 46959 58647 62799 123057 140877 160799 172183 175941 188397 215039 246179 482397 516549 645117 738537 1447191 1549647 1768789 1935351 2215611 2365429 2707969 5306367 7096287 8123907 15919101 19456679 21288861 24371721 27818227 29787659 58370037 83454681 89362977 175110111 250364043 268088931 306000497 918001491 2754004473 3366005467 10098016401 30294049203