Search a number
-
+
13221014114132 = 221117661174115359
BaseRepresentation
bin1100000001100100000111…
…0110011000111101010100
31201210220202012112211002022
43000121001312120331110
53213103114103123012
644041352224032312
72533121024516306
oct300310166307524
951726665484068
1013221014114132
114238000883970
1215963a2a62698
1374b9757c1746
14339c86d71976
1517dd978e5472
hexc0641d98f54

13221014114132 has 96 divisors (see below), whose sum is σ = 26782378721280. Its totient is φ = 5643880704000.

The previous prime is 13221014114123. The next prime is 13221014114137. The reversal of 13221014114132 is 23141141012231.

It is a happy number.

It is a super-2 number, since 2×132210141141322 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13221014114137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 860791469 + ... + 860806827.

It is an arithmetic number, because the mean of its divisors is an integer number (278983111680).

Almost surely, 213221014114132 is an apocalyptic number.

It is an amenable number.

13221014114132 is an abundant number, since it is smaller than the sum of its proper divisors (13561364607148).

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

13221014114132 is a wasteful number, since it uses less digits than its factorization.

13221014114132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17793 (or 17791 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 26.

Adding to 13221014114132 its reverse (23141141012231), we get a palindrome (36362155126363).

The spelling of 13221014114132 in words is "thirteen trillion, two hundred twenty-one billion, fourteen million, one hundred fourteen thousand, one hundred thirty-two".

Divisors: 1 2 4 11 17 22 34 44 68 187 374 661 748 1322 1741 2644 3482 6964 7271 11237 14542 15359 19151 22474 29084 29597 30718 38302 44948 59194 61436 76604 118388 123607 168949 247214 261103 325567 337898 494428 522206 651134 675796 1044412 1150801 1302268 2301602 2872133 4603204 5744266 10152299 11488532 12658811 19563617 20304598 25317622 26740019 39127234 40609196 50635244 53480038 78254468 106960076 111675289 172589083 215199787 223350578 294140209 345178166 430399574 446701156 454580323 588280418 690356332 860799148 909160646 1176560836 1818321292 1898479913 3796959826 5000383553 7593919652 10000767106 17675152559 20001534212 35350305118 70700610236 194426678149 300477593503 388853356298 600955187006 777706712596 1201910374012 3305253528533 6610507057066 13221014114132