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142020241 = 11210111621
BaseRepresentation
bin10000111011100…
…00111010010001
3100220020101010221
420131300322101
5242324121431
622031553041
73343103116
oct1035607221
9326211127
10142020241
1173191a00
123b68b781
1323566a5c
1414c0c90d
15c705111
hex8770e91

142020241 has 12 divisors (see below), whose sum is σ = 157664052. Its totient is φ = 127820000.

The previous prime is 142020199. The next prime is 142020247.

142020241 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 2 ways, for example, as 76475025 + 65545216 = 8745^2 + 8096^2 .

It is not a de Polignac number, because 142020241 - 215 = 141987473 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (142020247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6411 + ... + 18031.

It is an arithmetic number, because the mean of its divisors is an integer number (13138671).

Almost surely, 2142020241 is an apocalyptic number.

142020241 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

142020241 is a deficient number, since it is larger than the sum of its proper divisors (15643811).

142020241 is a wasteful number, since it uses less digits than its factorization.

142020241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11744 (or 11733 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

The square root of 142020241 is about 11917.2245510438. The cubic root of 142020241 is about 521.7351320393.

The spelling of 142020241 in words is "one hundred forty-two million, twenty thousand, two hundred forty-one".

Divisors: 1 11 101 121 1111 11621 12221 127831 1173721 1406141 12910931 142020241