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103303001030103 = 33740111617117331
BaseRepresentation
bin10111011111010000011010…
…101011100011110111010111
3111112202200002202110221212000
4113133100122223203313113
5102020004021230430403
61003412424333530343
730521252444514630
oct2737203253436727
9445680082427760
10103303001030103
112aa08613a83516
12b7049920439b3
13458457b459ab4
141b71c6b640887
15be2234dbb7a3
hex5df41aae3dd7

103303001030103 has 64 divisors (see below), whose sum is σ = 175357310960640. Its totient is φ = 58877508096000.

The previous prime is 103303001030093. The next prime is 103303001030129. The reversal of 103303001030103 is 301030100303301.

103303001030103 is a `hidden beast` number, since 1 + 0 + 330 + 30 + 0 + 1 + 0 + 301 + 0 + 3 = 666.

It is not a de Polignac number, because 103303001030103 - 25 = 103303001030071 is a prime.

It is a super-2 number, since 2×1033030010301032 (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 (103303001030143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 880382148 + ... + 880499478.

It is an arithmetic number, because the mean of its divisors is an integer number (2739957983760).

Almost surely, 2103303001030103 is an apocalyptic number.

103303001030103 is a deficient number, since it is larger than the sum of its proper divisors (72054309930537).

103303001030103 is a wasteful number, since it uses less digits than its factorization.

103303001030103 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129365 (or 129359 counting only the distinct ones).

The product of its (nonzero) digits is 243, while the sum is 18.

Adding to 103303001030103 its reverse (301030100303301), we get a palindrome (404333101333404).

The spelling of 103303001030103 in words is "one hundred three trillion, three hundred three billion, one million, thirty thousand, one hundred three".

Divisors: 1 3 7 9 21 27 63 189 401 1203 2807 3609 8421 10827 11617 25263 34851 75789 81319 104553 117331 243957 313659 351993 731871 821317 1055979 2195613 2463951 3167937 4658417 7391853 13975251 22175559 32608919 41925753 47049731 97826757 125777259 141149193 293480271 329348117 423447579 880440813 988044351 1270342737 1363034227 2964133053 4089102681 8892399159 9541239589 12267308043 28623718767 36801924129 85871156301 257613468903 546576725027 1639730175081 3826037075189 4919190525243 11478111225567 14757571575729 34434333676701 103303001030103