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10202212221021 = 32378917312231627
BaseRepresentation
bin1001010001110110001100…
…1111000100000001011101
31100010022200201012102001200
42110131203033010001131
52314123112312033041
633410455342430113
72102041221020262
oct224354317040135
940108621172050
1010202212221021
113283808911657
121189310292339
135900ab897802
14273b0ad4d269
1512a5b26ea1b6
hex947633c405d

10202212221021 has 96 divisors (see below), whose sum is σ = 15415390298880. Its totient is φ = 6496158569472.

The previous prime is 10202212221007. The next prime is 10202212221041. The reversal of 10202212221021 is 12012221220201.

It is a happy number.

10202212221021 is a `hidden beast` number, since 10 + 202 + 212 + 221 + 0 + 21 = 666.

It is not a de Polignac number, because 10202212221021 - 29 = 10202212220509 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10202212220985 and 10202212221003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10202212221041) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6270566010 + ... + 6270567636.

It is an arithmetic number, because the mean of its divisors is an integer number (160576982280).

Almost surely, 210202212221021 is an apocalyptic number.

It is an amenable number.

10202212221021 is a deficient number, since it is larger than the sum of its proper divisors (5213178077859).

10202212221021 is a wasteful number, since it uses less digits than its factorization.

10202212221021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3155 (or 3152 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 10202212221021 its reverse (12012221220201), we get a palindrome (22214433441222).

The spelling of 10202212221021 in words is "ten trillion, two hundred two billion, two hundred twelve million, two hundred twenty-one thousand, twenty-one".

Divisors: 1 3 9 37 89 111 173 267 333 519 801 1223 1557 1627 3293 3669 4881 6401 9879 11007 14643 15397 19203 29637 45251 46191 57609 60199 108847 135753 138573 144803 180597 211579 281471 326541 407259 434409 541791 569689 634737 844413 979623 1303227 1709067 1904211 1989821 2533239 4027339 5127201 5357711 5969463 7828423 10414427 12082017 16073133 17908389 18830531 23485269 25050919 31243281 36246051 48219399 56491593 70455807 73623377 75152757 93729843 169474779 177094069 220870131 225458271 344239033 531282207 662610393 696729647 926884003 1032717099 1593846621 2090188941 2780652009 3098151297 6270566823 6552480553 8341956027 12736844221 19657441659 30637273937 38210532663 58972324977 91911821811 114631597989 275735465433 1133579135669 3400737407007 10202212221021