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22121310330 = 2335714978553
BaseRepresentation
bin10100100110100010…
…000110100001111010
32010002200010222222000
4110212202012201322
5330301023412310
614055024241430
71412121015060
oct244642064172
963080128860
1022121310330
1194219a2959
124354470276
132117017452
1410dbd1c030
158970e24c0
hex52688687a

22121310330 has 128 divisors (see below), whose sum is σ = 67870656000. Its totient is φ = 5022300672.

The previous prime is 22121310307. The next prime is 22121310331. The reversal of 22121310330 is 3301312122.

22121310330 is a `hidden beast` number, since 2 + 2 + 1 + 21 + 310 + 330 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (22121310331) 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, 242334 + ... + 320886.

It is an arithmetic number, because the mean of its divisors is an integer number (530239500).

Almost surely, 222121310330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22121310330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33935328000).

22121310330 is an abundant number, since it is smaller than the sum of its proper divisors (45749345670).

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

22121310330 is a wasteful number, since it uses less digits than its factorization.

22121310330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78725 (or 78719 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 22121310330 its reverse (3301312122), we get a palindrome (25422622452).

The spelling of 22121310330 in words is "twenty-two billion, one hundred twenty-one million, three hundred ten thousand, three hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 27 30 35 42 45 54 63 70 90 105 126 135 149 189 210 270 298 315 378 447 630 745 894 945 1043 1341 1490 1890 2086 2235 2682 3129 4023 4470 5215 6258 6705 8046 9387 10430 13410 15645 18774 20115 28161 31290 40230 46935 56322 78553 93870 140805 157106 235659 281610 392765 471318 549871 706977 785530 1099742 1178295 1413954 1649613 2120931 2356590 2749355 3299226 3534885 4241862 4948839 5498710 7069770 8248065 9897678 10604655 11704397 14846517 16496130 21209310 23408794 24744195 29693034 35113191 49488390 58521985 70226382 74232585 81930779 105339573 117043970 148465170 163861558 175565955 210679146 245792337 316018719 351131910 409653895 491584674 526697865 632037438 737377011 819307790 1053395730 1228961685 1474754022 1580093595 2212131033 2457923370 3160187190 3686885055 4424262066 7373770110 11060655165 22121310330