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13013110310103 = 32194711314328763
BaseRepresentation
bin1011110101011101100111…
…0100010100010011010111
31201002001010000212021202100
42331113121310110103113
53201201322214410403
643402050152013143
72512111001402001
oct275273164242327
951061100767670
1013013110310103
114167913578822
1215620403911b3
13735191b70667
1432dba32a7371
1517877a6282a3
hexbd5d9d144d7

13013110310103 has 48 divisors (see below), whose sum is σ = 20385819118080. Its totient is φ = 7972752436992.

The previous prime is 13013110310093. The next prime is 13013110310117. The reversal of 13013110310103 is 30101301131031.

13013110310103 is a `hidden beast` number, since 1 + 30 + 1 + 311 + 0 + 310 + 10 + 3 = 666.

It is not a de Polignac number, because 13013110310103 - 24 = 13013110310087 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13013110300103) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6256201 + ... + 8072562.

It is an arithmetic number, because the mean of its divisors is an integer number (424704564960).

Almost surely, 213013110310103 is an apocalyptic number.

13013110310103 is a deficient number, since it is larger than the sum of its proper divisors (7372708807977).

13013110310103 is a wasteful number, since it uses less digits than its factorization.

13013110310103 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14328948 (or 14328945 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 18.

Adding to 13013110310103 its reverse (30101301131031), we get a palindrome (43114411441134).

The spelling of 13013110310103 in words is "thirteen trillion, thirteen billion, one hundred ten million, three hundred ten thousand, one hundred three".

Divisors: 1 3 9 19 47 57 113 141 171 339 423 893 1017 2147 2679 5311 6441 8037 15933 19323 47799 100909 302727 908181 14328763 42986289 128958867 272246497 673451861 816739491 1619150219 2020355583 2450218473 4857450657 6061066749 12795585359 14572351971 30763854161 38386756077 76100060293 92291562483 115160268231 228300180879 276874687449 684900542637 1445901145567 4337703436701 13013110310103