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22130133121302 = 234153239780669
BaseRepresentation
bin1010000100000100100101…
…01110010011100100010110
32220100121202000201212100020
411002002102232103210112
510400040003034340202
6115022235351330010
74442564220555033
oct502022256234426
986317660655306
1022130133121302
117062378240a58
122594b74980906
13c46b2a18c01b
14567165b4a38a
152859c77205bc
hex142092b93916

22130133121302 has 96 divisors (see below), whose sum is σ = 46328369260320. Its totient is φ = 7043129533440.

The previous prime is 22130133121279. The next prime is 22130133121357. The reversal of 22130133121302 is 20312133103122.

It is a super-3 number, since 3×221301331213023 (a number of 41 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 274292224 + ... + 274372892.

It is an arithmetic number, because the mean of its divisors is an integer number (482587179795).

Almost surely, 222130133121302 is an apocalyptic number.

22130133121302 is an abundant number, since it is smaller than the sum of its proper divisors (24198236139018).

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

22130133121302 is a wasteful number, since it uses less digits than its factorization.

22130133121302 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81218 (or 81165 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 22130133121302 its reverse (20312133103122), we get a palindrome (42442266224424).

The spelling of 22130133121302 in words is "twenty-two trillion, one hundred thirty billion, one hundred thirty-three million, one hundred twenty-one thousand, three hundred two".

Divisors: 1 2 3 6 41 53 82 106 123 159 246 318 397 794 1191 2173 2382 2809 4346 5618 6519 8427 13038 16277 16854 21041 32554 42082 48831 63123 80669 97662 115169 126246 161338 230338 242007 345507 484014 691014 862681 1115173 1725362 2230346 2588043 3307429 3345519 4275457 5176086 6614858 6691038 8550914 9922287 12826371 19844574 25652742 32025593 45722093 64051186 91444186 96076779 137166279 175293737 192153558 226599221 274332558 350587474 453198442 525881211 679797663 1051762422 1313049313 1359595326 1697356429 2626098626 3394712858 3939147939 5092069287 7878295878 9290568061 10184138574 18581136122 27871704183 55743408366 69591613589 89959890737 139183227178 179919781474 208774840767 269879672211 417549681534 539759344422 3688355520217 7376711040434 11065066560651 22130133121302