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102332141233322 = 27211213663830593
BaseRepresentation
bin10111010001001000001110…
…111011010110010010101010
3111102022212010212111020021212
4113101020032323112102222
5101403102211123431242
61001350423043033122
730361152566431400
oct2721101673262252
9442285125436255
10102332141233322
112a6738a9a29600
12b5887a306b7a2
134513b58397b70
141b3ac8b38d470
15bc6d61a44782
hex5d120eed64aa

102332141233322 has 72 divisors (see below), whose sum is σ = 211364988790788. Its totient is φ = 36802768020480.

The previous prime is 102332141233321. The next prime is 102332141233397. The reversal of 102332141233322 is 223332141233201.

It can be written as a sum of positive squares in 2 ways, for example, as 102203223612721 + 128917620601 = 10109561^2 + 359051^2 .

It is not an unprimeable number, because it can be changed into a prime (102332141233321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 331761143 + ... + 332069450.

Almost surely, 2102332141233322 is an apocalyptic number.

102332141233322 is an abundant number, since it is smaller than the sum of its proper divisors (109032847557466).

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

102332141233322 is a wasteful number, since it uses less digits than its factorization.

102332141233322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 663830644 (or 663830626 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 32.

Adding to 102332141233322 its reverse (223332141233201), we get a palindrome (325664282466523).

The spelling of 102332141233322 in words is "one hundred two trillion, three hundred thirty-two billion, one hundred forty-one million, two hundred thirty-three thousand, three hundred twenty-two".

Divisors: 1 2 7 11 13 14 22 26 49 77 91 98 121 143 154 182 242 286 539 637 847 1001 1078 1274 1573 1694 2002 3146 5929 7007 11011 11858 14014 22022 77077 154154 663830593 1327661186 4646814151 7302136523 8629797709 9293628302 14604273046 17259595418 32527699057 51114955661 60408583963 65055398114 80323501753 94927774799 102229911322 120817167926 160647003506 189855549598 357804689627 422860087741 562264512271 664494423593 715609379254 845720175482 1044205522789 1124529024542 1328988847186 2088411045578 3935851585897 4651460965151 7309438659523 7871703171794 9302921930302 14618877319046 51166070616661 102332141233322