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103323300201121 = 71113612576584173
BaseRepresentation
bin10111011111100011010100…
…100110110000001010100001
3111112211121111102221200120211
4113133203110212300022201
5102020322104322413441
61003430022511334121
730522601461566350
oct2737432446601241
9445747442850524
10103323300201121
112aa16190370110
12b7088b8221341
134586464b020b0
141b72c35561997
15be2a22030a81
hex5df8d49b02a1

103323300201121 has 64 divisors (see below), whose sum is σ = 141550681176576. Its totient is φ = 72815674982400.

The previous prime is 103323300201089. The next prime is 103323300201259. The reversal of 103323300201121 is 121102003323301.

It is not a de Polignac number, because 103323300201121 - 25 = 103323300201089 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 103323300201092 and 103323300201101.

It is not an unprimeable number, because it can be changed into a prime (103323300202121) 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 63 ways as a sum of consecutive naturals, for example, 12400591 + ... + 18984763.

It is an arithmetic number, because the mean of its divisors is an integer number (2211729393384).

Almost surely, 2103323300201121 is an apocalyptic number.

103323300201121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

103323300201121 is a deficient number, since it is larger than the sum of its proper divisors (38227380975455).

103323300201121 is a wasteful number, since it uses less digits than its factorization.

103323300201121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6584522.

The product of its (nonzero) digits is 648, while the sum is 22.

Adding to 103323300201121 its reverse (121102003323301), we get a palindrome (224425303524422).

The spelling of 103323300201121 in words is "one hundred three trillion, three hundred twenty-three billion, three hundred million, two hundred one thousand, one hundred twenty-one".

Divisors: 1 7 11 13 61 77 91 143 257 427 671 793 1001 1799 2827 3341 4697 5551 8723 15677 19789 23387 36751 61061 109739 172447 203801 257257 1207129 1426607 2241811 6584173 15692677 46089211 72425903 85594249 401634553 506981321 599159743 941536739 1692132461 2811441871 4417980083 5221249189 6590757173 11844927227 18613457071 21997721993 30925860581 36548744323 57433741079 103220080121 130294199497 153984053951 241974941923 402036187553 722540560847 1135420881331 1341861041573 1693824593461 7947946169317 9393027291011 14760471457303 103323300201121