Search a number
-
+
30135323016 = 233212719916561
BaseRepresentation
bin11100000100001101…
…001000100110001000
32212210011221000122200
4130010031020212020
5443204120314031
621502144320200
72114532006411
oct340415104610
985704830580
1030135323016
1111864671237
125a10313060
132ac34256a6
14165c3d2808
15bb59598e6
hex704348988

30135323016 has 96 divisors (see below), whose sum is σ = 82677504000. Its totient is φ = 9915333120.

The previous prime is 30135322981. The next prime is 30135323041. The reversal of 30135323016 is 61032353103.

It is a happy number.

30135323016 is a `hidden beast` number, since 3 + 0 + 1 + 353 + 2 + 301 + 6 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1811376 + ... + 1827936.

It is an arithmetic number, because the mean of its divisors is an integer number (861224000).

Almost surely, 230135323016 is an apocalyptic number.

30135323016 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30135323016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41338752000).

30135323016 is an abundant number, since it is smaller than the sum of its proper divisors (52542180984).

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

30135323016 is a wasteful number, since it uses less digits than its factorization.

30135323016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16899 (or 16892 counting only the distinct ones).

The product of its (nonzero) digits is 4860, while the sum is 27.

Adding to 30135323016 its reverse (61032353103), we get a palindrome (91167676119).

The spelling of 30135323016 in words is "thirty billion, one hundred thirty-five million, three hundred twenty-three thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 127 199 254 381 398 508 597 762 796 1016 1143 1194 1524 1592 1791 2286 2388 3048 3582 4572 4776 7164 9144 14328 16561 25273 33122 49683 50546 66244 75819 99366 101092 132488 149049 151638 198732 202184 227457 298098 303276 397464 454914 596196 606552 909828 1192392 1819656 2103247 3295639 4206494 6309741 6591278 8412988 9886917 12619482 13182556 16825976 18929223 19773834 25238964 26365112 29660751 37858446 39547668 50477928 59321502 75716892 79095336 118643004 151433784 237286008 418546153 837092306 1255638459 1674184612 2511276918 3348369224 3766915377 5022553836 7533830754 10045107672 15067661508 30135323016