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21211331213310 = 2357449859926161
BaseRepresentation
bin1001101001010101001011…
…10111001011011111111110
32210002210011010211220010020
410310222211313023133332
510240011301242311220
6113040203453553010
74316316363321150
oct464524567133776
983083133756106
1021211331213310
116838747545427
122466a93aa5766
13bab2b2302194
145348c3632ad0
1526bb4e738040
hex134aa5dcb7fe

21211331213310 has 128 divisors (see below), whose sum is σ = 58318237440000. Its totient is φ = 4836758814720.

The previous prime is 21211331213239. The next prime is 21211331213323. The reversal of 21211331213310 is 1331213311212.

It is a super-2 number, since 2×212113312133102 (a number of 27 digits) contains 22 as substring.

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, 810786630 + ... + 810812790.

It is an arithmetic number, because the mean of its divisors is an integer number (455611230000).

Almost surely, 221211331213310 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21211331213310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29159118720000).

21211331213310 is an abundant number, since it is smaller than the sum of its proper divisors (37106906226690).

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

21211331213310 is a wasteful number, since it uses less digits than its factorization.

21211331213310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35226.

The product of its (nonzero) digits is 648, while the sum is 24.

Adding to 21211331213310 its reverse (1331213311212), we get a palindrome (22542544524522).

The spelling of 21211331213310 in words is "twenty-one trillion, two hundred eleven billion, three hundred thirty-one million, two hundred thirteen thousand, three hundred ten".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 105 210 449 898 1347 2245 2694 3143 4490 6286 6735 8599 9429 13470 15715 17198 18858 25797 26161 31430 42995 47145 51594 52322 60193 78483 85990 94290 120386 128985 130805 156966 180579 183127 257970 261610 300965 361158 366254 392415 549381 601930 784830 902895 915635 1098762 1805790 1831270 2746905 3860951 5493810 7721902 11582853 11746289 19304755 23165706 23492578 27026657 35238867 38609510 54053314 57914265 58731445 70477734 81079971 82224023 115828530 117462890 135133285 162159942 164448046 176194335 224958439 246672069 270266570 352388670 405399855 411120115 449916878 493344138 674875317 810799710 822240230 1124792195 1233360345 1349750634 1574709073 2249584390 2466720690 3149418146 3374376585 4724127219 6748753170 7873545365 9448254438 15747090730 23620636095 47241272190 101006339111 202012678222 303019017333 505031695555 606038034666 707044373777 1010063391110 1414088747554 1515095086665 2121133121331 3030190173330 3535221868885 4242266242662 7070443737770 10605665606655 21211331213310