Search a number
-
+
30200331112 = 23722925710337
BaseRepresentation
bin11100001000000101…
…000111101101101000
32212221201020202222221
4130020011013231220
5443322241043422
621512425523424
72116251402400
oct341005075550
985851222887
1030200331112
1111898332836
125a2a043574
132b03a37013
141666cb5800
15bbb4eb3c7
hex708147b68

30200331112 has 96 divisors (see below), whose sum is σ = 68413782600. Its totient is φ = 12446859264.

The previous prime is 30200331103. The next prime is 30200331127. The reversal of 30200331112 is 21113300203.

It can be written as a sum of positive squares in 4 ways, for example, as 26871733476 + 3328597636 = 163926^2 + 57694^2 .

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, 2916408 + ... + 2926744.

Almost surely, 230200331112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30200331112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34206891300).

30200331112 is an abundant number, since it is smaller than the sum of its proper divisors (38213451488).

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

30200331112 is a wasteful number, since it uses less digits than its factorization.

30200331112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10643 (or 10632 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 30200331112 its reverse (21113300203), we get a palindrome (51313631315).

The spelling of 30200331112 in words is "thirty billion, two hundred million, three hundred thirty-one thousand, one hundred twelve".

Divisors: 1 2 4 7 8 14 28 29 49 56 58 98 116 196 203 232 257 392 406 514 812 1028 1421 1624 1799 2056 2842 3598 5684 7196 7453 10337 11368 12593 14392 14906 20674 25186 29812 41348 50372 52171 59624 72359 82696 100744 104342 144718 208684 289436 299773 365197 417368 506513 578872 599546 730394 1013026 1199092 1460788 2026052 2098411 2398184 2656609 2921576 4052104 4196822 5313218 8393644 10626436 14688877 16787288 18596263 21252872 29377754 37192526 58755508 74385052 77041661 117511016 130173841 148770104 154083322 260347682 308166644 520695364 539291627 616333288 1041390728 1078583254 2157166508 3775041389 4314333016 7550082778 15100165556 30200331112