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30321301014 = 232173714871801
BaseRepresentation
bin11100001111010010…
…100101011000010110
32220021010212200111200
4130033102211120112
5444044223113024
621532430413330
72122250543334
oct341722453026
986233780450
1030321301014
111194a647264
125a62661246
132b22b10544
141678da4b54
15bc6e442c9
hex70f4a5616

30321301014 has 96 divisors (see below), whose sum is σ = 71528386176. Its totient is φ = 9244108800.

The previous prime is 30321301013. The next prime is 30321301033. The reversal of 30321301014 is 41010312303.

30321301014 is a `hidden beast` number, since 30 + 321 + 301 + 0 + 14 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30321301013) 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 47 ways as a sum of consecutive naturals, for example, 16834914 + ... + 16836714.

It is an arithmetic number, because the mean of its divisors is an integer number (745087356).

Almost surely, 230321301014 is an apocalyptic number.

30321301014 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 30321301014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35764193088).

30321301014 is an abundant number, since it is smaller than the sum of its proper divisors (41207085162).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

30321301014 is a wasteful number, since it uses less digits than its factorization.

30321301014 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3350 (or 3347 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 30321301014 its reverse (41010312303), we get a palindrome (71331613317).

The spelling of 30321301014 in words is "thirty billion, three hundred twenty-one million, three hundred one thousand, fourteen".

Divisors: 1 2 3 6 9 17 18 34 37 51 74 102 111 153 222 306 333 629 666 1258 1487 1801 1887 2974 3602 3774 4461 5403 5661 8922 10806 11322 13383 16209 25279 26766 30617 32418 50558 55019 61234 66637 75837 91851 110038 133274 151674 165057 183702 199911 227511 275553 330114 399822 455022 495171 551106 599733 935323 990342 1132829 1199466 1870646 2265658 2678087 2805969 3398487 5356174 5611938 6796974 8034261 8417907 10195461 16068522 16835814 20390922 24102783 45527479 48205566 91054958 99089219 136582437 198178438 273164874 297267657 409747311 594535314 819494622 891802971 1684516723 1783605942 3369033446 5053550169 10107100338 15160650507 30321301014