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103203102321 = 33112431634507
BaseRepresentation
bin110000000011101100…
…0100101111001110001
3100212101101211210121000
41200013120211321301
53142324443233241
6115224424352213
710312316616144
oct1400730457161
9325341753530
10103203102321
113a84a508300
1218002615669
1399692c6367
144dd061605b
152a4054beb6
hex1807625e71

103203102321 has 96 divisors (see below), whose sum is σ = 173058152960. Its totient is φ = 60704471520.

The previous prime is 103203102287. The next prime is 103203102341. The reversal of 103203102321 is 123201302301.

103203102321 is a `hidden beast` number, since 1 + 0 + 32 + 0 + 310 + 2 + 321 = 666.

It is not a de Polignac number, because 103203102321 - 213 = 103203094129 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 103203102294 and 103203102303.

It is not an unprimeable number, because it can be changed into a prime (103203102341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 22896150 + ... + 22900656.

Almost surely, 2103203102321 is an apocalyptic number.

103203102321 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

103203102321 is a deficient number, since it is larger than the sum of its proper divisors (69855050639).

103203102321 is a wasteful number, since it uses less digits than its factorization.

103203102321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4744 (or 4727 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 103203102321 its reverse (123201302301), we get a palindrome (226404404622).

The spelling of 103203102321 in words is "one hundred three billion, two hundred three million, one hundred two thousand, three hundred twenty-one".

Divisors: 1 3 9 11 27 33 43 99 121 129 163 297 363 387 473 489 1089 1161 1419 1467 1793 3267 4257 4401 4507 5203 5379 7009 12771 13521 15609 16137 19723 21027 40563 46827 48411 49577 59169 63081 77099 121689 140481 148731 177507 189243 193801 231297 446193 532521 545347 581403 693891 734641 848089 1338579 1636041 1744209 2081673 2131811 2203923 2544267 4908123 5232627 6395433 6611769 7632801 8081051 14724369 19186299 19835307 22898403 23449921 24243153 31589563 57558897 70349763 72729459 88891561 94768689 211049289 218188377 266674683 284306067 347485193 633147867 800024049 852918201 1042455579 2400072147 3127366737 3822337123 9382100211 11467011369 34401034107 103203102321