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21332322330 = 235111731122663
BaseRepresentation
bin10011110111100000…
…010110100000011010
32001001200112020220020
4103313200112200122
5322142033303310
613444441411310
71353430514364
oct236740264032
961050466806
1021332322330
1190575a3560
124174199b36
13201c71b947
14106521bd34
1584cbe3170
hex4f781681a

21332322330 has 128 divisors (see below), whose sum is σ = 61045456896. Its totient is φ = 4710220800.

The previous prime is 21332322329. The next prime is 21332322331. The reversal of 21332322330 is 3322323312.

It is an interprime number because it is at equal distance from previous prime (21332322329) and next prime (21332322331).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 21332322330.

It is not an unprimeable number, because it can be changed into a prime (21332322331) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 112579 + ... + 235241.

It is an arithmetic number, because the mean of its divisors is an integer number (476917632).

Almost surely, 221332322330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21332322330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30522728448).

21332322330 is an abundant number, since it is smaller than the sum of its proper divisors (39713134566).

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

21332322330 is a wasteful number, since it uses less digits than its factorization.

21332322330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122732.

The product of its (nonzero) digits is 3888, while the sum is 24.

Adding to 21332322330 its reverse (3322323312), we get a palindrome (24654645642).

The spelling of 21332322330 in words is "twenty-one billion, three hundred thirty-two million, three hundred twenty-two thousand, three hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 17 22 30 31 33 34 51 55 62 66 85 93 102 110 155 165 170 186 187 255 310 330 341 374 465 510 527 561 682 930 935 1023 1054 1122 1581 1705 1870 2046 2635 2805 3162 3410 5115 5270 5610 5797 7905 10230 11594 15810 17391 28985 34782 57970 86955 122663 173910 245326 367989 613315 735978 1226630 1349293 1839945 2085271 2698586 3679890 3802553 4047879 4170542 6255813 6746465 7605106 8095758 10426355 11407659 12511626 13492930 19012765 20239395 20852710 22815318 22937981 31279065 38025530 40478790 41828083 45875962 57038295 62558130 64643401 68813943 83656166 114076590 114689905 125484249 129286802 137627886 193930203 209140415 229379810 250968498 323217005 344069715 387860406 418280830 627421245 646434010 688139430 711077411 969651015 1254842490 1422154822 1939302030 2133232233 3555387055 4266464466 7110774110 10666161165 21332322330