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201321301132221 = 32359238910632027
BaseRepresentation
bin101101110001100111000100…
…101000111100001110111101
3222101211010110121211010220120
4231301213010220330032331
5202341422011042212341
61552101421242205153
760255661342530414
oct5561470450741675
9871733417733816
10201321301132221
1159168980065446
121a6b55004b37b9
1388446954a436a
1437a00081cc47b
151841c68096066
hexb719c4a3c3bd

201321301132221 has 96 divisors (see below), whose sum is σ = 286069360711680. Its totient is φ = 125697999259008.

The previous prime is 201321301132117. The next prime is 201321301132277. The reversal of 201321301132221 is 122231103123102.

It is not a de Polignac number, because 201321301132221 - 213 = 201321301124029 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 201321301132191 and 201321301132200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201321301131221) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 99319831810 + ... + 99319833836.

It is an arithmetic number, because the mean of its divisors is an integer number (2979889174080).

Almost surely, 2201321301132221 is an apocalyptic number.

It is an amenable number.

201321301132221 is a deficient number, since it is larger than the sum of its proper divisors (84748059579459).

201321301132221 is a wasteful number, since it uses less digits than its factorization.

201321301132221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3623 (or 3564 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 201321301132221 its reverse (122231103123102), we get a palindrome (323552404255323).

The spelling of 201321301132221 in words is "two hundred one trillion, three hundred twenty-one billion, three hundred one million, one hundred thirty-two thousand, two hundred twenty-one".

Divisors: 1 3 23 59 69 177 389 1063 1167 1357 2027 3189 3481 4071 6081 8947 10443 22951 24449 26841 46621 62717 68853 73347 80063 119593 139863 188151 240189 358779 413507 527873 788503 1240521 1354109 1442491 1583619 2154701 2365509 2750639 3700303 4062327 4327473 6464103 7055987 8251917 9510661 11100909 18135569 21167961 24396913 28531983 31144507 46521677 49558123 54406707 73190739 85106969 93433521 127127359 139565031 148674369 162287701 255320907 381382077 486863103 561128999 838178689 1069998571 1439417867 1683386997 2514536067 2744778943 2923929257 3209995713 4318253601 7500514181 8234336829 8771787771 19278109847 22501542543 33106610941 49452542651 57834329541 63129915689 99319832823 148357627953 172511826163 189389747067 517535478489 1137408480973 2917700016409 3412225442919 8753100049227 67107100377407 201321301132221