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13101103223 = 1331415989151
BaseRepresentation
bin11000011001110001…
…01111100001110111
31020211001001000000022
430030320233201313
5203312340300343
610004002035355
7642441353135
oct141470574167
936731030008
1013101103223
11561325a83a
122657648b5b
13130a3106b0
148c3d66755
1551a273568
hex30ce2f877

13101103223 has 64 divisors (see below), whose sum is σ = 15444172800. Its totient is φ = 11024640000.

The previous prime is 13101103207. The next prime is 13101103229. The reversal of 13101103223 is 32230110131.

It is a cyclic number.

It is not a de Polignac number, because 13101103223 - 24 = 13101103207 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13101103229) 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, 86762198 + ... + 86762348.

It is an arithmetic number, because the mean of its divisors is an integer number (241315200).

Almost surely, 213101103223 is an apocalyptic number.

13101103223 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

13101103223 is a deficient number, since it is larger than the sum of its proper divisors (2343069577).

13101103223 is a wasteful number, since it uses less digits than its factorization.

13101103223 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 384.

The product of its (nonzero) digits is 108, while the sum is 17.

Adding to 13101103223 its reverse (32230110131), we get a palindrome (45331213354).

The spelling of 13101103223 in words is "thirteen billion, one hundred one million, one hundred three thousand, two hundred twenty-three".

Divisors: 1 13 31 41 59 89 151 403 533 767 1157 1271 1829 1963 2419 2759 3649 4681 5251 6191 8909 13439 16523 23777 31447 35867 47437 60853 68263 74989 80483 113119 115817 162781 174707 191921 215291 276179 365269 416609 550999 792901 974857 1470547 2116153 2494973 2798783 3590327 4748497 5415917 6674021 7162987 10307713 11323339 17080969 24579931 32508941 86762273 147203407 222052597 319539103 422616233 1007777171 13101103223