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13102102113102 = 2331747303668987
BaseRepresentation
bin1011111010101001001000…
…1001000110101101001110
31201101112211000122021121000
42332222102021012231032
53204131101120104402
643511004515121130
72521411206264462
oct276522211065516
951345730567530
1013102102113102
1141a1630087552
1215773375a31a6
137406a4b45762
143342063224a2
1517ac38204c1c
hexbea92246b4e

13102102113102 has 64 divisors (see below), whose sum is σ = 31484400675840. Its totient is φ = 4023006726528.

The previous prime is 13102102113101. The next prime is 13102102113127. The reversal of 13102102113102 is 20131120120131.

13102102113102 is a `hidden beast` number, since 1 + 310 + 21 + 0 + 21 + 1 + 310 + 2 = 666.

13102102113102 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13102102113101) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 151791348 + ... + 151877639.

It is an arithmetic number, because the mean of its divisors is an integer number (491943760560).

Almost surely, 213102102113102 is an apocalyptic number.

13102102113102 is an abundant number, since it is smaller than the sum of its proper divisors (18382298562738).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13102102113102 is a wasteful number, since it uses less digits than its factorization.

13102102113102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 303669062 (or 303669056 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 13102102113102 its reverse (20131120120131), we get a palindrome (33233222233233).

The spelling of 13102102113102 in words is "thirteen trillion, one hundred two billion, one hundred two million, one hundred thirteen thousand, one hundred two".

Divisors: 1 2 3 6 9 17 18 27 34 47 51 54 94 102 141 153 282 306 423 459 799 846 918 1269 1598 2397 2538 4794 7191 14382 21573 43146 303668987 607337974 911006961 1822013922 2733020883 5162372779 5466041766 8199062649 10324745558 14272442389 15487118337 16398125298 28544884778 30974236674 42817327167 46461355011 85634654334 92922710022 128451981501 139384065033 242631520613 256903963002 278768130066 385355944503 485263041226 727894561839 770711889006 1455789123678 2183683685517 4367367371034 6551051056551 13102102113102