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245323321022331 = 33232941595631361
BaseRepresentation
bin110111110001111011001001…
…011001111001011101111011
31012011121200101001012220111000
4313301323021121321131323
5224123334130140203311
62225431551113540043
7102450011406442656
oct6761731131713573
91164550331186430
10245323321022331
1171193044173452
1223621377a14623
13a6b6b75186ca6
1444819d7d9c89d
151d5665125e056
hexdf1ec967977b

245323321022331 has 128 divisors (see below), whose sum is σ = 408701728512000. Its totient is φ = 144862005657600.

The previous prime is 245323321022327. The next prime is 245323321022341. The reversal of 245323321022331 is 133220123323542.

245323321022331 is a `hidden beast` number, since 2 + 4 + 5 + 323 + 321 + 0 + 2 + 2 + 3 + 3 + 1 = 666.

It is not a de Polignac number, because 245323321022331 - 22 = 245323321022327 is a prime.

It is a super-2 number, since 2×2453233210223312 (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (245323321022341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 40748091 + ... + 46379451.

It is an arithmetic number, because the mean of its divisors is an integer number (3192982254000).

Almost surely, 2245323321022331 is an apocalyptic number.

245323321022331 is a deficient number, since it is larger than the sum of its proper divisors (163378407489669).

245323321022331 is a wasteful number, since it uses less digits than its factorization.

245323321022331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5631522 (or 5631516 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 36.

Adding to 245323321022331 its reverse (133220123323542), we get a palindrome (378543444345873).

The spelling of 245323321022331 in words is "two hundred forty-five trillion, three hundred twenty-three billion, three hundred twenty-one million, twenty-two thousand, three hundred thirty-one".

Divisors: 1 3 9 23 27 29 41 59 69 87 123 177 207 261 369 531 621 667 783 943 1107 1189 1357 1593 1711 2001 2419 2829 3567 4071 5133 6003 7257 8487 10701 12213 15399 18009 21771 25461 27347 32103 36639 39353 46197 55637 65313 70151 82041 118059 166911 210453 246123 354177 500733 631359 738369 1062531 1502199 1613473 1894077 4840419 5631361 14521257 16894083 43563771 50682249 129521303 152046747 163309469 230885801 332250299 388563909 489928407 692657403 996750897 1165691727 1469785221 2077972209 2990252691 3497075181 3756117787 4409355663 5310373423 6233916627 6695688229 7641756877 8970758073 9635258671 11268353361 13622262259 15931120269 20087064687 22925270631 28905776013 33805060083 40866786777 47793360807 60261194061 68775811893 86717328039 101415180249 122600360331 143380082421 154000829267 180783582183 206327435679 221610949433 260151984117 313312031957 367801080993 395045605511 462002487801 664832848299 939936095871 1185136816533 1386007463403 1994498544897 2819808287613 3555410449599 4158022390209 5983495634691 8459424862839 9086048926753 10666231348797 27258146780259 81774440340777 245323321022331