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13301212101102 = 2332293119344863
BaseRepresentation
bin1100000110001110111000…
…0001011011100111101110
31202002120202100012200011000
43001203232001123213232
53220411340244213402
644142254213141130
72541660302252352
oct301435601334756
952076670180130
1013301212101102
114269015518542
1215a9a4502a7a6
137563b69574c3
1433dad4127462
15180edd471c1c
hexc18ee05b9ee

13301212101102 has 64 divisors (see below), whose sum is σ = 29696928768000. Its totient is φ = 4412947954464.

The previous prime is 13301212101059. The next prime is 13301212101103. The reversal of 13301212101102 is 20110121210331.

13301212101102 is a `hidden beast` number, since 1 + 330 + 1 + 21 + 210 + 1 + 102 = 666.

It is a super-2 number, since 2×133012121011022 (a number of 27 digits) contains 22 as substring.

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 (13301212101103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 38397123 + ... + 38741985.

It is an arithmetic number, because the mean of its divisors is an integer number (464014512000).

Almost surely, 213301212101102 is an apocalyptic number.

13301212101102 is an abundant number, since it is smaller than the sum of its proper divisors (16395716666898).

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

13301212101102 is a wasteful number, since it uses less digits than its factorization.

13301212101102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 348222 (or 348216 counting only the distinct ones).

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

Adding to 13301212101102 its reverse (20110121210331), we get a palindrome (33411333311433).

The spelling of 13301212101102 in words is "thirteen trillion, three hundred one billion, two hundred twelve million, one hundred one thousand, one hundred two".

Divisors: 1 2 3 6 9 18 27 54 229 458 687 1374 2061 3119 4122 6183 6238 9357 12366 18714 28071 56142 84213 168426 344863 689726 714251 1034589 1428502 2069178 2142753 3103767 4285506 6207534 6428259 9311301 12856518 18622602 19284777 38569554 78973627 157947254 236920881 473841762 710762643 1075627697 1421525286 2132287929 2151255394 3226883091 4264575858 6453766182 9680649273 19361298546 29041947819 58083895638 246318742613 492637485226 738956227839 1477912455678 2216868683517 4433737367034 6650606050551 13301212101102