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103201332000333 = 3729147168605659
BaseRepresentation
bin10111011101110001101110…
…101110111111011001001101
3111112101221200021021010011220
4113131301232232333121031
5102011322311443002313
61003254012025433553
730511023133153260
oct2735615656773115
9445357607233156
10103201332000333
112a979491508676
12b6a913933b8b9
134577ac7c25598
141b6ad84a7acd7
15bde784399823
hex5ddc6ebbf64d

103201332000333 has 16 divisors (see below), whose sum is σ = 157264568885760. Its totient is φ = 58970166096816.

The previous prime is 103201332000313. The next prime is 103201332000383. The reversal of 103201332000333 is 333000233102301.

It is not a de Polignac number, because 103201332000333 - 28 = 103201332000077 is a prime.

It is a super-2 number, since 2×1032013320003332 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103201332000313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 83690743 + ... + 84914916.

It is an arithmetic number, because the mean of its divisors is an integer number (9829035555360).

Almost surely, 2103201332000333 is an apocalyptic number.

It is an amenable number.

103201332000333 is a deficient number, since it is larger than the sum of its proper divisors (54063236885427).

103201332000333 is a wasteful number, since it uses less digits than its factorization.

103201332000333 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168634816.

The product of its (nonzero) digits is 2916, while the sum is 24.

Adding to 103201332000333 its reverse (333000233102301), we get a palindrome (436201565102634).

The spelling of 103201332000333 in words is "one hundred three trillion, two hundred one billion, three hundred thirty-two million, three hundred thirty-three", and thus it is an aban number.

Divisors: 1 3 7 21 29147 87441 204029 612087 168605659 505816977 1180239613 3540718839 4914349142873 14743047428619 34400444000111 103201332000333