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132132010331333 = 1139363611248781
BaseRepresentation
bin11110000010110001100001…
…100010100000110011000101
3122022211200210222120210111202
4132002301201202200303011
5114304322324121100313
61145004335122312245
736555136251415265
oct3602614142406305
9568750728523452
10132132010331333
11391129641808a1
12129a009aab8685
135895cc2344a3c
14248b31b1017a5
1510420cbb3d558
hex782c618a0cc5

132132010331333 has 8 divisors (see below), whose sum is σ = 133301569263576. Its totient is φ = 130962455769600.

The previous prime is 132132010331329. The next prime is 132132010331369. The reversal of 132132010331333 is 333133010231231.

It can be written as a sum of positive squares in 4 ways, for example, as 633109845124 + 131498900486209 = 795682^2 + 11467297^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 132132010331333 - 22 = 132132010331329 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 132132010331296 and 132132010331305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132132010337333) by changing a digit.

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, 105184403 + ... + 106433183.

It is an arithmetic number, because the mean of its divisors is an integer number (16662696157947).

Almost surely, 2132132010331333 is an apocalyptic number.

It is an amenable number.

132132010331333 is a deficient number, since it is larger than the sum of its proper divisors (1169558932243).

132132010331333 is a wasteful number, since it uses less digits than its factorization.

132132010331333 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2185255.

The product of its (nonzero) digits is 8748, while the sum is 29.

Adding to 132132010331333 its reverse (333133010231231), we get a palindrome (465265020562564).

The spelling of 132132010331333 in words is "one hundred thirty-two trillion, one hundred thirty-two billion, ten million, three hundred thirty-one thousand, three hundred thirty-three".

Divisors: 1 113 936361 1248781 105808793 141112253 1169309825941 132132010331333