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103330000323 = 331113710632389
BaseRepresentation
bin110000000111011110…
…0101010110111000011
3100212201020121212221000
41200032330222313003
53143104440002243
6115245200303043
710315420340154
oct1401674526703
9325636555830
10103330000323
113a905100690
1218039011a83
139989696c34
14500340992b
152a4b7665d3
hex180ef2adc3

103330000323 has 64 divisors (see below), whose sum is σ = 168445670400. Its totient is φ = 62082650880.

The previous prime is 103330000303. The next prime is 103330000357. The reversal of 103330000323 is 323000033301.

103330000323 is a `hidden beast` number, since 10 + 3 + 330 + 0 + 0 + 0 + 323 = 666.

It is not a de Polignac number, because 103330000323 - 216 = 103329934787 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 103330000296 and 103330000305.

It is not an unprimeable number, because it can be changed into a prime (103330000303) 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 63 ways as a sum of consecutive naturals, for example, 43251213 + ... + 43253601.

It is an arithmetic number, because the mean of its divisors is an integer number (2631963600).

Almost surely, 2103330000323 is an apocalyptic number.

103330000323 is a deficient number, since it is larger than the sum of its proper divisors (65115670077).

103330000323 is a wasteful number, since it uses less digits than its factorization.

103330000323 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3609 (or 3603 counting only the distinct ones).

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

Adding to 103330000323 its reverse (323000033301), we get a palindrome (426330033624).

It can be divided in two parts, 10 and 3330000323, that added together give a palindrome (3330000333).

The spelling of 103330000323 in words is "one hundred three billion, three hundred thirty million, three hundred twenty-three", and thus it is an aban number.

Divisors: 1 3 9 11 27 33 99 137 297 411 1063 1233 1507 2389 3189 3699 4521 7167 9567 11693 13563 21501 26279 28701 35079 40689 64503 78837 105237 145631 236511 315711 327293 436893 709533 981879 1310679 1601941 2539507 2945637 3600223 3932037 4805823 7618521 8836911 10800669 14417469 22855563 27934577 32402007 43252407 68566689 83803731 97206021 251411193 347912459 754233579 1043737377 3131212131 3827037049 9393636393 11481111147 34443333441 103330000323