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132433133124 = 22329027380201
BaseRepresentation
bin111101101010110100…
…0010011111001000100
3110122211111022012210110
41323111220103321010
54132210340224444
6140501113353020
712365550025635
oct1732550237104
9418744265713
10132433133124
115118a062056
12217bb708770
13c646cc1586
1465a46b188c
1536a1781cb9
hex1ed5a13e44

132433133124 has 24 divisors (see below), whose sum is σ = 309022102368. Its totient is φ = 44142740800.

The previous prime is 132433133101. The next prime is 132433133149. The reversal of 132433133124 is 421331334231.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 132433133091 and 132433133100.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 158224 + ... + 538424.

It is an arithmetic number, because the mean of its divisors is an integer number (12875920932).

Almost surely, 2132433133124 is an apocalyptic number.

It is an amenable number.

132433133124 is an abundant number, since it is smaller than the sum of its proper divisors (176588969244).

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

132433133124 is a wasteful number, since it uses less digits than its factorization.

132433133124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 409235 (or 409233 counting only the distinct ones).

The product of its digits is 15552, while the sum is 30.

Adding to 132433133124 its reverse (421331334231), we get a palindrome (553764467355).

The spelling of 132433133124 in words is "one hundred thirty-two billion, four hundred thirty-three million, one hundred thirty-three thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 12 29027 58054 87081 116108 174162 348324 380201 760402 1140603 1520804 2281206 4562412 11036094427 22072188854 33108283281 44144377708 66216566562 132433133124