Search a number
-
+
30301000002 = 23271323738459
BaseRepresentation
bin11100001110000101…
…001001000101000010
32220012201200021202100
4130032011021011002
5444024024000002
621530423331230
72121613151610
oct341605110502
986181607670
1030301000002
111193a140869
125a578b0b16
132b1b853100
1416763dc6b0
15bc528411c
hex70e149142

30301000002 has 144 divisors (see below), whose sum is σ = 83444662080. Its totient is φ = 7775284608.

The previous prime is 30300999973. The next prime is 30301000007. The reversal of 30301000002 is 20000010303.

It is a happy number.

It is a super-2 number, since 2×303010000022 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (30301000007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 768649 + ... + 807107.

It is an arithmetic number, because the mean of its divisors is an integer number (579476820).

Almost surely, 230301000002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30301000002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41722331040).

30301000002 is an abundant number, since it is smaller than the sum of its proper divisors (53143662078).

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

30301000002 is a wasteful number, since it uses less digits than its factorization.

30301000002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38537 (or 38521 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 9.

Adding to 30301000002 its reverse (20000010303), we get a palindrome (50301010305).

The spelling of 30301000002 in words is "thirty billion, three hundred one million, two", and thus it is an aban number.

Divisors: 1 2 3 6 7 9 13 14 18 21 26 37 39 42 63 74 78 91 111 117 126 169 182 222 234 259 273 333 338 481 507 518 546 666 777 819 962 1014 1183 1443 1521 1554 1638 2331 2366 2886 3042 3367 3549 4329 4662 6253 6734 7098 8658 10101 10647 12506 18759 20202 21294 30303 37518 38459 43771 56277 60606 76918 87542 112554 115377 131313 230754 262626 269213 346131 393939 499967 538426 692262 787878 807639 999934 1422983 1499901 1615278 2422917 2845966 2999802 3499769 4268949 4499703 4845834 6499571 6999538 8537898 8999406 9960881 10499307 12806847 12999142 18498779 19498713 19921762 20998614 25613694 29882643 31497921 36997558 38997426 45496997 55496337 58496139 59765286 62995842 89647929 90993994 110992674 116992278 129491453 136490991 166489011 179295858 240484127 258982906 272981982 332978022 388474359 409472973 480968254 721452381 776948718 818945946 1165423077 1442904762 1683388889 2164357143 2330846154 3366777778 4328714286 5050166667 10100333334 15150500001 30301000002