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927241102129 is a prime number
BaseRepresentation
bin11010111111000111110…
…00000110001100110001
310021122101000201110012211
431133203320012030301
5110142442210232004
61545545122452121
7123663620216236
oct15374370061461
93248330643184
10927241102129
1132827147a041
1212b857204041
13695913b5354
1432c4326978d
15191bdd39504
hexd7e3e06331

927241102129 has 2 divisors, whose sum is σ = 927241102130. Its totient is φ = 927241102128.

The previous prime is 927241102079. The next prime is 927241102133. The reversal of 927241102129 is 921201142729.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 595150531600 + 332090570529 = 771460^2 + 576273^2 .

It is a cyclic number.

It is not a de Polignac number, because 927241102129 - 211 = 927241100081 is a prime.

It is a super-2 number, since 2×9272411021292 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 927241102091 and 927241102100.

It is not a weakly prime, because it can be changed into another prime (927241102169) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 463620551064 + 463620551065.

It is an arithmetic number, because the mean of its divisors is an integer number (463620551065).

Almost surely, 2927241102129 is an apocalyptic number.

It is an amenable number.

927241102129 is a deficient number, since it is larger than the sum of its proper divisors (1).

927241102129 is an equidigital number, since it uses as much as digits as its factorization.

927241102129 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 36288, while the sum is 40.

The spelling of 927241102129 in words is "nine hundred twenty-seven billion, two hundred forty-one million, one hundred two thousand, one hundred twenty-nine".