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21332422102014 = 233171131359115131
BaseRepresentation
bin1001101100110110101110…
…11100010000101111111110
32210112100201011201101121000
410312123113130100233332
510244002300024231024
6113211551315551130
74331134210021122
oct466332734205776
983470634641530
1021332422102014
116885036161361
122486448bbb4a6
13bb983c4ca00a
1453a6cd7c5582
1526ed8a374cc9
hex1366d7710bfe

21332422102014 has 128 divisors (see below), whose sum is σ = 50645201218560. Its totient is φ = 6632372275200.

The previous prime is 21332422101869. The next prime is 21332422102039. The reversal of 21332422102014 is 41020122423312.

21332422102014 is a `hidden beast` number, since 2 + 1 + 3 + 3 + 242 + 210 + 201 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1409841229 + ... + 1409856359.

It is an arithmetic number, because the mean of its divisors is an integer number (395665634520).

Almost surely, 221332422102014 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21332422102014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25322600609280).

21332422102014 is an abundant number, since it is smaller than the sum of its proper divisors (29312779116546).

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

21332422102014 is a wasteful number, since it uses less digits than its factorization.

21332422102014 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28863 (or 28857 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 21332422102014 its reverse (41020122423312), we get a palindrome (62352544525326).

The spelling of 21332422102014 in words is "twenty-one trillion, three hundred thirty-two billion, four hundred twenty-two million, one hundred two thousand, fourteen".

Divisors: 1 2 3 6 9 17 18 27 34 51 54 102 113 153 226 306 339 459 678 918 1017 1921 2034 3051 3842 5763 6102 11526 13591 15131 17289 27182 30262 34578 40773 45393 51867 81546 90786 103734 122319 136179 231047 244638 257227 272358 366957 408537 462094 514454 693141 733914 771681 817074 1386282 1535783 1543362 1709803 2079423 2315043 3071566 3419606 4158846 4607349 4630086 5129409 6238269 6945129 9214698 10258818 12476538 13822047 13890258 15388227 26108311 27644094 29066651 30776454 41466141 46164681 52216622 58133302 78324933 82932282 87199953 92329362 156649866 174399906 205645421 234974799 261599859 411290842 469949598 523199718 616936263 704924397 784799577 1233872526 1409848794 1569599154 1850808789 3495972157 3701617578 5552426367 6991944314 10487916471 11104852734 20975832942 23237932573 31463749413 46475865146 62927498826 69713797719 94391248239 139427595438 188782496478 209141393157 395044853741 418282786314 627424179471 790089707482 1185134561223 1254848358942 2370269122446 3555403683669 7110807367338 10666211051007 21332422102014