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421177120157 is a prime number
BaseRepresentation
bin1100010000100000001…
…11001101010110011101
31111021010120001112112102
412020100013031112131
523400032320321112
6521252555214445
742300106311053
oct6102007152635
91437116045472
10421177120157
111526905601a2
1269763447425
1330941b59281
14165569401d3
15ae50b80bc2
hex62101cd59d

421177120157 has 2 divisors, whose sum is σ = 421177120158. Its totient is φ = 421177120156.

The previous prime is 421177120097. The next prime is 421177120187. The reversal of 421177120157 is 751021771124.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 419264020036 + 1913100121 = 647506^2 + 43739^2 .

It is a cyclic number.

It is not a de Polignac number, because 421177120157 - 210 = 421177119133 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 421177120157.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (421177120187) 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, 210588560078 + 210588560079.

It is an arithmetic number, because the mean of its divisors is an integer number (210588560079).

Almost surely, 2421177120157 is an apocalyptic number.

It is an amenable number.

421177120157 is a deficient number, since it is larger than the sum of its proper divisors (1).

421177120157 is an equidigital number, since it uses as much as digits as its factorization.

421177120157 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 27440, while the sum is 38.

The spelling of 421177120157 in words is "four hundred twenty-one billion, one hundred seventy-seven million, one hundred twenty thousand, one hundred fifty-seven".