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22100002120212 = 22329251277913397
BaseRepresentation
bin1010000011001100011101…
…10001101010001000010100
32220020201222010221102020220
411001212032301222020110
510344041301020321322
6115000333435354340
74440446440355562
oct501461661521024
986221863842226
1022100002120212
117050616061965
12258b165bb29b0
13c4403791a8b3
14565908160a32
15284d1236b55c
hex14198ec6a214

22100002120212 has 96 divisors (see below), whose sum is σ = 53750768641920. Its totient is φ = 7058724288000.

The previous prime is 22100002120129. The next prime is 22100002120247. The reversal of 22100002120212 is 21202120000122.

It is a junction number, because it is equal to n+sod(n) for n = 22100002120191 and 22100002120200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23738698 + ... + 24652094.

It is an arithmetic number, because the mean of its divisors is an integer number (559903840020).

Almost surely, 222100002120212 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22100002120212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26875384320960).

22100002120212 is an abundant number, since it is smaller than the sum of its proper divisors (31650766521708).

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

22100002120212 is a wasteful number, since it uses less digits than its factorization.

22100002120212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 913961 (or 913959 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 22100002120212 its reverse (21202120000122), we get a palindrome (43302122120334).

The spelling of 22100002120212 in words is "twenty-two trillion, one hundred billion, two million, one hundred twenty thousand, two hundred twelve".

Divisors: 1 2 3 4 6 12 29 58 87 116 174 251 277 348 502 554 753 831 1004 1108 1506 1662 3012 3324 7279 8033 14558 16066 21837 24099 29116 32132 43674 48198 69527 87348 96396 139054 208581 278108 417162 834324 913397 1826794 2016283 2740191 3653588 4032566 5480382 6048849 8065132 10960764 12097698 24195396 26488513 52977026 79465539 105954052 158931078 229262647 253010969 317862156 458525294 506021938 687787941 759032907 917050588 1012043876 1375575882 1518065814 2751151764 3036131628 6648616763 7337318101 13297233526 14674636202 19945850289 22011954303 26594467052 29349272404 39891700578 44023908606 63505753219 79783401156 88047817212 127011506438 190517259657 254023012876 381034519314 762069038628 1841666843351 3683333686702 5525000530053 7366667373404 11050001060106 22100002120212