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198134977031 is a prime number
BaseRepresentation
bin1011100010000111000…
…0111101001000000111
3200221102100220200221122
42320201300331020013
511221240023231111
6231004424104155
720212653342155
oct2704160751007
9627370820848
10198134977031
1177035035902
123249700505b
13158b7b13aa4
1498385203d5
155249874cdb
hex2e21c3d207

198134977031 has 2 divisors, whose sum is σ = 198134977032. Its totient is φ = 198134977030.

The previous prime is 198134977003. The next prime is 198134977099. The reversal of 198134977031 is 130779431891.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 198134977031 - 218 = 198134714887 is a prime.

It is a super-3 number, since 3×1981349770313 (a number of 35 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (198134977331) by changing a digit.

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 as a sum of consecutive naturals, namely, 99067488515 + 99067488516.

It is an arithmetic number, because the mean of its divisors is an integer number (99067488516).

Almost surely, 2198134977031 is an apocalyptic number.

198134977031 is a deficient number, since it is larger than the sum of its proper divisors (1).

198134977031 is an equidigital number, since it uses as much as digits as its factorization.

198134977031 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1143072, while the sum is 53.

The spelling of 198134977031 in words is "one hundred ninety-eight billion, one hundred thirty-four million, nine hundred seventy-seven thousand, thirty-one".