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30132200322 = 23273159313009
BaseRepresentation
bin11100000100000001…
…001110001110000010
32212202222001101010100
4130010001032032002
5443202320402242
621501553343230
72114463322350
oct340401161602
985688041110
1030132200322
11118629290a4
125a0b267b16
132ac28a1243
14165bc1c7d0
15bb553e54c
hex70404e382

30132200322 has 96 divisors (see below), whose sum is σ = 77155752960. Its totient is φ = 8316794880.

The previous prime is 30132200309. The next prime is 30132200359. The reversal of 30132200322 is 22300223103.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 30132200295 and 30132200304.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2309754 + ... + 2322762.

It is an arithmetic number, because the mean of its divisors is an integer number (803705760).

Almost surely, 230132200322 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30132200322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38577876480).

30132200322 is an abundant number, since it is smaller than the sum of its proper divisors (47023552638).

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

30132200322 is a wasteful number, since it uses less digits than its factorization.

30132200322 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13648 (or 13645 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 30132200322 its reverse (22300223103), we get a palindrome (52432423425).

The spelling of 30132200322 in words is "thirty billion, one hundred thirty-two million, two hundred thousand, three hundred twenty-two".

Divisors: 1 2 3 6 7 9 14 18 21 31 42 62 63 93 126 186 217 279 434 558 593 651 1186 1302 1779 1953 3558 3906 4151 5337 8302 10674 12453 13009 18383 24906 26018 36766 37359 39027 55149 74718 78054 91063 110298 117081 128681 165447 182126 234162 257362 273189 330894 386043 403279 546378 772086 806558 819567 1158129 1209837 1639134 2316258 2419674 2822953 3629511 5645906 7259022 7714337 8468859 15428674 16937718 23143011 25406577 46286022 50813154 54000359 69429033 108000718 138858066 162001077 239144447 324002154 478288894 486003231 717433341 972006462 1434866682 1674011129 2152300023 3348022258 4304600046 5022033387 10044066774 15066100161 30132200322