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30132300132 = 22331125363889
BaseRepresentation
bin11100000100000001…
…100110100101100100
32212202222020110001000
4130010001212211210
5443202332101012
621501555433300
72114464216344
oct340401464544
985688213030
1030132300132
1111862997090
125a0b2b5830
132ac29077bc
14165bc46d24
15bb555dddc
hex704066964

30132300132 has 48 divisors (see below), whose sum is σ = 85222670400. Its totient is φ = 9130999680.

The previous prime is 30132300083. The next prime is 30132300139. The reversal of 30132300132 is 23100323103.

30132300132 is a `hidden beast` number, since 301 + 3 + 230 + 0 + 132 = 666.

It is a super-2 number, since 2×301323001322 (a number of 22 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (30132300139) 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 15 ways as a sum of consecutive naturals, for example, 12680757 + ... + 12683132.

It is an arithmetic number, because the mean of its divisors is an integer number (1775472300).

Almost surely, 230132300132 is an apocalyptic number.

It is an amenable number.

30132300132 is an abundant number, since it is smaller than the sum of its proper divisors (55090370268).

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

30132300132 is a wasteful number, since it uses less digits than its factorization.

30132300132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25363913 (or 25363905 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 30132300132 its reverse (23100323103), we get a palindrome (53232623235).

The spelling of 30132300132 in words is "thirty billion, one hundred thirty-two million, three hundred thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 99 108 132 198 297 396 594 1188 25363889 50727778 76091667 101455556 152183334 228275001 279002779 304366668 456550002 558005558 684825003 837008337 913100004 1116011116 1369650006 1674016674 2511025011 2739300012 3348033348 5022050022 7533075033 10044100044 15066150066 30132300132