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13122102103 = 11171013312099
BaseRepresentation
bin11000011100010001…
…10110001101010111
31020212111112212001121
430032020312031113
5203333224231403
610010032104411
7643115012305
oct141610661527
936774485047
1013122102103
1156240a2590
122662695107
131311783676
148c6a71275
1551c0203bd
hex30e236357

13122102103 has 32 divisors (see below), whose sum is σ = 15360710400. Its totient is φ = 11077440000.

The previous prime is 13122102101. The next prime is 13122102139. The reversal of 13122102103 is 30120122131.

13122102103 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 13122102103 - 21 = 13122102101 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13122102101) 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 31 ways as a sum of consecutive naturals, for example, 6250548 + ... + 6252646.

It is an arithmetic number, because the mean of its divisors is an integer number (480022200).

Almost surely, 213122102103 is an apocalyptic number.

13122102103 is a deficient number, since it is larger than the sum of its proper divisors (2238608297).

13122102103 is a wasteful number, since it uses less digits than its factorization.

13122102103 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2559.

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 13122102103 its reverse (30120122131), we get a palindrome (43242224234).

The spelling of 13122102103 in words is "thirteen billion, one hundred twenty-two million, one hundred two thousand, one hundred three".

Divisors: 1 11 17 101 187 331 1111 1717 2099 3641 5627 18887 23089 33431 35683 61897 211999 367741 392513 568327 694769 2331989 3603983 6251597 7642459 11811073 39643813 70171669 129921803 771888359 1192918373 13122102103