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83298109122 = 23259211532
BaseRepresentation
bin100110110010011110…
…1000100011011000010
321222000012002101011200
41031210331010123002
52331043303442442
6102133331322030
76006130150044
oct1154475043302
9258005071150
1083298109122
113236567a2a8
1214188450316
137b16504587
144062bc1a94
152277ceb34c
hex1364f446c2

83298109122 has 54 divisors (see below), whose sum is σ = 183749419737. Its totient is φ = 27271752192.

The previous prime is 83298109117. The next prime is 83298109177. The reversal of 83298109122 is 22190189238.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 75559564161 + 7738544961 = 274881^2 + 87969^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=204081.

It is a super-2 number, since 2×832981091222 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 72244098 + ... + 72245250.

Almost surely, 283298109122 is an apocalyptic number.

83298109122 is an abundant number, since it is smaller than the sum of its proper divisors (100451310615).

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

83298109122 is an equidigital number, since it uses as much as digits as its factorization.

83298109122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2432 (or 1217 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The spelling of 83298109122 in words is "eighty-three billion, two hundred ninety-eight million, one hundred nine thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 59 118 177 354 531 1062 1153 2306 3459 3481 6918 6962 10377 10443 20754 20886 31329 62658 68027 136054 204081 408162 612243 1224486 1329409 2658818 3988227 4013593 7976454 8027186 11964681 12040779 23929362 24081558 36122337 72244674 78435131 156870262 235305393 470610786 705916179 1411832358 4627672729 9255345458 13883018187 27766036374 41649054561 83298109122