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21100233322212 = 22311237631162233
BaseRepresentation
bin1001100110000110001111…
…11010010110111011100100
32202201011101112120021021220
410303003013322112323210
510231201234212302322
6112513151404340340
74305304310660052
oct463030772267344
982634345507256
1021100233322212
1167a56166a0500
1224494495446b0
13ba0988512495
1452d3846dd1d2
15268ceb07455c
hex1330c7e96ee4

21100233322212 has 144 divisors (see below), whose sum is σ = 55588886484096. Its totient is φ = 6220113292800.

The previous prime is 21100233322211. The next prime is 21100233322219. The reversal of 21100233322212 is 21222333200112.

It is a super-2 number, since 2×211002333222122 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (21100233322211) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 339021048 + ... + 339083280.

Almost surely, 221100233322212 is an apocalyptic number.

21100233322212 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21100233322212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27794443242048).

21100233322212 is an abundant number, since it is smaller than the sum of its proper divisors (34488653161884).

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

21100233322212 is a wasteful number, since it uses less digits than its factorization.

21100233322212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68610 (or 68597 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 21100233322212 its reverse (21222333200112), we get a palindrome (42322566522324).

The spelling of 21100233322212 in words is "twenty-one trillion, one hundred billion, two hundred thirty-three million, three hundred twenty-two thousand, two hundred twelve".

Divisors: 1 2 3 4 6 11 12 22 33 37 44 66 74 111 121 132 148 222 242 363 407 444 484 726 814 1221 1452 1628 2442 4477 4884 6311 8954 12622 13431 17908 18933 25244 26862 37866 53724 62233 69421 75732 124466 138842 186699 208263 233507 248932 277684 373398 416526 467014 684563 700521 746796 763631 833052 934028 1369126 1401042 1527262 2053689 2290893 2302621 2568577 2738252 2802084 3054524 4107378 4581786 4605242 5137154 6907863 7530193 7705731 8214756 9163572 9210484 10274308 13815726 15060386 15411462 22590579 25328831 27631452 28254347 30120772 30822924 45181158 50657662 56508694 75986493 84763041 90362316 101315324 113017388 151972986 169526082 278617141 303945972 339052164 392752463 557234282 785504926 835851423 1114468564 1178257389 1571009852 1671702846 2356514778 3343405692 4320277093 4713029556 8640554186 12960831279 14531841131 17281108372 25921662558 29063682262 43595523393 47523048023 51843325116 58127364524 87191046786 95046096046 142569144069 159850252441 174382093572 190092192092 285138288138 319700504882 479550757323 570276576276 639401009764 959101514646 1758352776851 1918203029292 3516705553702 5275058330553 7033411107404 10550116661106 21100233322212