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102200220122 = 272111316743669
BaseRepresentation
bin101111100101110011…
…0111001100111011010
3100202210111202002211212
41133023212321213122
53133301224020442
6114541121223122
710245421352300
oct1371346714732
9322714662755
10102200220122
113a3853a6040
1217982791aa2
1398395ba340
144d37358270
1529d249ba82
hex17cb9b99da

102200220122 has 96 divisors (see below), whose sum is σ = 210764695680. Its totient is φ = 36534395520.

The previous prime is 102200220103. The next prime is 102200220127. The reversal of 102200220122 is 221022002201.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 102200220097 and 102200220106.

It is not an unprimeable number, because it can be changed into a prime (102200220127) 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 47 ways as a sum of consecutive naturals, for example, 2318504 + ... + 2362172.

It is an arithmetic number, because the mean of its divisors is an integer number (2195465580).

Almost surely, 2102200220122 is an apocalyptic number.

102200220122 is an abundant number, since it is smaller than the sum of its proper divisors (108564475558).

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

102200220122 is a wasteful number, since it uses less digits than its factorization.

102200220122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43876 (or 43869 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 102200220122 its reverse (221022002201), we get a palindrome (323222222323).

It can be divided in two parts, 1022002201 and 22, that multiplied together give a palindrome (22484048422).

The spelling of 102200220122 in words is "one hundred two billion, two hundred million, two hundred twenty thousand, one hundred twenty-two".

Divisors: 1 2 7 11 13 14 22 26 49 77 91 98 143 154 167 182 286 334 539 637 1001 1078 1169 1274 1837 2002 2171 2338 3674 4342 7007 8183 12859 14014 15197 16366 23881 25718 30394 43669 47762 87338 90013 106379 167167 180026 212758 305683 334334 480359 567697 611366 960718 1135394 1170169 2139781 2340338 3362513 3973879 4279562 6244667 6725026 7292723 7947758 12489334 14585446 23537591 27817153 43712669 47075182 51049061 55634306 80219953 87425338 94805399 102098122 160439906 189610798 305988683 357343427 561539671 611977366 663637793 714686854 1042859389 1123079342 1327275586 2085718778 3930777697 4645464551 7300015723 7861555394 9290929102 14600031446 51100110061 102200220122