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331201221210223 = 7213412232271941
BaseRepresentation
bin100101101001110011100101…
…1001000111011000001101111
31121102200112020120021100210221
41023103213023020323001233
5321402400100112211343
63132223423542512211
7126522333005040100
oct11323471310730157
91542615216240727
10331201221210223
1196592715a7aa11
1231191022a35667
13112a61ab13b460
145bb032059c3a7
15284548564d5ed
hex12d39cb23b06f

331201221210223 has 144 divisors (see below), whose sum is σ = 428976561831552. Its totient is φ = 253302795648000.

The previous prime is 331201221210131. The next prime is 331201221210227. The reversal of 331201221210223 is 322012122102133.

It is not a de Polignac number, because 331201221210223 - 29 = 331201221209711 is a prime.

It is a super-2 number, since 2×3312012212102232 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (331201221210227) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 351967290933 + ... + 351967291873.

It is an arithmetic number, because the mean of its divisors is an integer number (2979003901608).

Almost surely, 2331201221210223 is an apocalyptic number.

331201221210223 is a deficient number, since it is larger than the sum of its proper divisors (97775340621329).

331201221210223 is a wasteful number, since it uses less digits than its factorization.

331201221210223 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1726 (or 1496 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 25.

Adding to 331201221210223 its reverse (322012122102133), we get a palindrome (653213343312356).

The spelling of 331201221210223 in words is "three hundred thirty-one trillion, two hundred one billion, two hundred twenty-one million, two hundred ten thousand, two hundred twenty-three".

Divisors: 1 7 13 41 49 91 223 271 287 533 637 941 1561 1897 2009 2899 3523 3731 6587 9143 10927 11111 12233 13279 20293 24661 26117 38581 46109 49729 60433 64001 77777 85631 118859 142051 144443 172627 209843 255011 270067 348103 423031 448007 501553 544439 599417 646477 785629 832013 1011101 1468901 1785077 1890469 2038889 2436721 2477753 2727959 2961217 3315143 3510871 4525339 5499403 5824091 7077707 8603563 10282307 10455451 12495539 13476559 14272223 17344271 19095713 23206001 24576097 26505557 31677373 32210789 38495821 46794989 56867453 60224941 73188157 94335913 99905561 111846319 121409897 133669991 135920863 162442007 175195267 185538899 225475523 327564923 398072171 421574587 512317099 552538919 608334857 660351391 739276889 782924233 951446041 1226366869 1298772293 1578328661 1918594549 2292954461 2331565573 2786505197 3867772433 4258343999 5174938223 5480469631 6660122287 7183005947 8584568083 12681442019 13430161843 16320959011 24941729137 27074407031 29808407993 30310352449 36224567561 50281041629 88770094133 94011132901 114246713077 164858746247 174592103959 212172467143 351967291403 519939122779 621390658931 1154011223729 1222144727713 1485207270001 3639573859453 6759208596127 8078078566103 25477017016171 47314460172889 331201221210223