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133003303002 = 23217434651317
BaseRepresentation
bin111101111011110011…
…1010101100001011010
3110201022020011211211100
41323313213111201122
54134342321144002
6141033442212230
712415642264533
oct1736747254132
9421266154740
10133003303002
1151451996129
122193a654076
13c7081745bb
14661a2d168a
1536d685b11c
hex1ef79d585a

133003303002 has 24 divisors (see below), whose sum is σ = 305125225236. Its totient is φ = 41726526336.

The previous prime is 133003302983. The next prime is 133003303009. The reversal of 133003303002 is 200303300331.

133003303002 is a `hidden beast` number, since 1 + 3 + 30 + 0 + 330 + 300 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 123186258441 + 9817044561 = 350979^2 + 99081^2 .

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 (133003303009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 217325353 + ... + 217325964.

Almost surely, 2133003303002 is an apocalyptic number.

133003303002 is an abundant number, since it is smaller than the sum of its proper divisors (172121922234).

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

133003303002 is a wasteful number, since it uses less digits than its factorization.

133003303002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 434651342 (or 434651339 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 18.

Adding to 133003303002 its reverse (200303300331), we get a palindrome (333306603333).

The spelling of 133003303002 in words is "one hundred thirty-three billion, three million, three hundred three thousand, two".

Divisors: 1 2 3 6 9 17 18 34 51 102 153 306 434651317 869302634 1303953951 2607907902 3911861853 7389072389 7823723706 14778144778 22167217167 44334434334 66501651501 133003303002