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103323201004023 = 371113471847396349
BaseRepresentation
bin10111011111100011001110…
…101100010110000111110111
3111112211121020112021221202020
4113133203032230112013313
5102020321403424112043
61003430005005244223
730522566145460110
oct2737431654260767
9445747215257666
10103323201004023
112aa1613a377940
12b70888ab63673
13458644a3acba0
141b72c262dd207
15be2a18488e83
hex5df8ceb161f7

103323201004023 has 128 divisors (see below), whose sum is σ = 189008496230400. Its totient is φ = 48465052945920.

The previous prime is 103323201004007. The next prime is 103323201004069. The reversal of 103323201004023 is 320400102323301.

It is not a de Polignac number, because 103323201004023 - 24 = 103323201004007 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 103323201003984 and 103323201004002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103323201044023) 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 127 ways as a sum of consecutive naturals, for example, 260489253 + ... + 260885601.

It is an arithmetic number, because the mean of its divisors is an integer number (1476628876800).

Almost surely, 2103323201004023 is an apocalyptic number.

103323201004023 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

103323201004023 is a deficient number, since it is larger than the sum of its proper divisors (85685295226377).

103323201004023 is a wasteful number, since it uses less digits than its factorization.

103323201004023 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 398277.

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 103323201004023 its reverse (320400102323301), we get a palindrome (423723303327324).

The spelling of 103323201004023 in words is "one hundred three trillion, three hundred twenty-three billion, two hundred one million, four thousand, twenty-three".

Divisors: 1 3 7 11 13 21 33 39 47 77 91 141 143 231 273 329 429 517 611 987 1001 1551 1833 1847 3003 3619 4277 5541 6721 10857 12831 12929 20163 20317 24011 38787 47047 60951 72033 86809 141141 142219 168077 260427 264121 396349 426657 504231 607663 792363 954899 1128517 1189047 1822989 1848847 2774443 2864697 3385551 4359839 5152537 5546541 6684293 7899619 8323329 12413687 13079517 15457611 18628403 20052879 23698857 30518873 36067759 37241061 55885209 56677907 86895809 91556619 108203277 130398821 170033721 204912433 242169239 260687427 391196463 396745349 614737299 726507717 732056603 1190236047 1434387031 1695184673 2196169809 2663861629 4303161093 5085554019 5124396221 7991584887 8052622633 9516735839 15373188663 18647031403 24157867899 28550207517 34406660341 55941094209 56368358431 66617150873 103219981023 104684094229 169105075293 199851452619 240846622387 314052282687 378473263751 447286584433 722539867161 732788659603 1135419791253 1341859753299 2198365978809 2649312846257 3131006091031 4920152428763 7947938538771 9393018273093 14760457286289 34441067001341 103323201004023