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13321030100202 = 232113711311160757
BaseRepresentation
bin1100000111011000101101…
…0001000110010011101010
31202011110220111021100002200
43001312023101012103222
53221222432201201302
644155332521441030
72543261354415366
oct301661321062352
952143814240080
1013321030100202
1142764652385a0
1215b1856040176
1375822470a5a6
14340a541942a6
1518179d23b81c
hexc1d8b4464ea

13321030100202 has 96 divisors (see below), whose sum is σ = 32340106116864. Its totient is φ = 3927204777600.

The previous prime is 13321030100177. The next prime is 13321030100237. The reversal of 13321030100202 is 20200103012331.

13321030100202 is a `hidden beast` number, since 1 + 332 + 1 + 0 + 30 + 100 + 202 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 82784008 + ... + 82944764.

It is an arithmetic number, because the mean of its divisors is an integer number (336876105384).

Almost surely, 213321030100202 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13321030100202, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16170053058432).

13321030100202 is an abundant number, since it is smaller than the sum of its proper divisors (19019076016662).

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

13321030100202 is a wasteful number, since it uses less digits than its factorization.

13321030100202 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172124 (or 172121 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 13321030100202 its reverse (20200103012331), we get a palindrome (33521133112533).

The spelling of 13321030100202 in words is "thirteen trillion, three hundred twenty-one billion, thirty million, one hundred thousand, two hundred two".

Divisors: 1 2 3 6 9 11 18 22 33 37 66 74 99 111 198 222 333 407 666 814 1221 2442 3663 7326 11311 22622 33933 67866 101799 124421 160757 203598 248842 321514 373263 418507 482271 746526 837014 964542 1119789 1255521 1446813 1768327 2239578 2511042 2893626 3536654 3766563 4603577 5304981 5948009 7533126 9207154 10609962 11896018 13810731 15914943 17844027 27621462 31829886 35688054 41432193 53532081 65428099 82864386 107064162 130856198 196284297 392568594 588852891 1177705782 1818322427 3636644854 5454967281 10909934562 16364901843 20001546697 32729803686 40003093394 60004640091 67277929799 120009280182 134555859598 180013920273 201833789397 360027840546 403667578794 605501368191 740057227789 1211002736382 1480114455578 2220171683367 4440343366734 6660515050101 13321030100202