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30132333114 = 23134161831861
BaseRepresentation
bin11100000100000001…
…101110101000111010
32212202222022010021120
4130010001232220322
5443202334124424
621502000250110
72114464414452
oct340401565072
985688263246
1030132333114
1111862a09944
125a0b310936
132ac2919810
14165bc54d62
15bb5568a79
hex70406ea3a

30132333114 has 128 divisors (see below), whose sum is σ = 68424120576. Its totient is φ = 8785152000.

The previous prime is 30132333103. The next prime is 30132333193. The reversal of 30132333114 is 41133323103.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 16190544 + ... + 16192404.

It is an arithmetic number, because the mean of its divisors is an integer number (534563442).

Almost surely, 230132333114 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30132333114, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34212060288).

30132333114 is an abundant number, since it is smaller than the sum of its proper divisors (38291787462).

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

30132333114 is a wasteful number, since it uses less digits than its factorization.

30132333114 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2064.

The product of its (nonzero) digits is 1944, while the sum is 24.

Adding to 30132333114 its reverse (41133323103), we get a palindrome (71265656217).

The spelling of 30132333114 in words is "thirty billion, one hundred thirty-two million, three hundred thirty-three thousand, one hundred fourteen".

Divisors: 1 2 3 6 13 26 39 41 61 78 82 83 122 123 166 183 246 249 366 498 533 793 1066 1079 1586 1599 1861 2158 2379 2501 3198 3237 3403 3722 4758 5002 5063 5583 6474 6806 7503 10126 10209 11166 15006 15189 20418 24193 30378 32513 44239 48386 65026 65819 72579 76301 88478 97539 113521 131638 132717 145158 152602 154463 195078 197457 207583 227042 228903 265434 308926 340563 394914 415166 457806 463389 622749 681126 926778 991913 1245498 1475773 1983826 2008019 2698579 2951546 2975739 4016038 4427319 4654361 5397158 5951478 6024057 6332983 8095737 8854638 9308722 9422243 12048114 12665966 13963083 16191474 18844486 18998949 27926166 28266729 37997898 56533458 60506693 82328779 121013386 122489159 164657558 181520079 244978318 246986337 363040158 367467477 386311963 493972674 734934954 772623926 1158935889 2317871778 5022055519 10044111038 15066166557 30132333114