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131133021003 = 3232993441619
BaseRepresentation
bin111101000100000100…
…0110001101101001011
3110112110212220200020200
41322020020301231023
54122030023133003
6140124111423243
712321412200405
oct1721010615513
9415425820220
10131133021003
1150682198626
12214b8224b23
13c49a84756a
1464bdb61b75
15362756d6a3
hex1e88231b4b

131133021003 has 12 divisors (see below), whose sum is σ = 189420533640. Its totient is φ = 87419166336.

The previous prime is 131133020999. The next prime is 131133021013. The reversal of 131133021003 is 300120331131.

It is a happy number.

131133021003 is a `hidden beast` number, since 1 + 311 + 330 + 21 + 0 + 0 + 3 = 666.

It is not a de Polignac number, because 131133021003 - 22 = 131133020999 is a prime.

It is not an unprimeable number, because it can be changed into a prime (131133021013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 76128 + ... + 517746.

It is an arithmetic number, because the mean of its divisors is an integer number (15785044470).

Almost surely, 2131133021003 is an apocalyptic number.

131133021003 is a deficient number, since it is larger than the sum of its proper divisors (58287512637).

131133021003 is a wasteful number, since it uses less digits than its factorization.

131133021003 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 474618 (or 474615 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 131133021003 its reverse (300120331131), we get a palindrome (431253352134).

The spelling of 131133021003 in words is "one hundred thirty-one billion, one hundred thirty-three million, twenty-one thousand, three".

Divisors: 1 3 9 32993 98979 296937 441619 1324857 3974571 14570335667 43711007001 131133021003