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67242131 = 113126361
BaseRepresentation
bin1000000001000…
…00100010010011
311200112020212022
410000200202103
5114203222011
610401122055
71444356125
oct400404223
9150466768
1067242131
1134a58010
121a62932b
1310c14458
148d05215
155d838db
hex4020893

67242131 has 12 divisors (see below), whose sum is σ = 75809592. Its totient is φ = 59148000.

The previous prime is 67242127. The next prime is 67242137. The reversal of 67242131 is 13124276.

It is not a de Polignac number, because 67242131 - 22 = 67242127 is a prime.

It is a super-2 number, since 2×672421312 = 9043008362842322, which contains 22 as substring.

It is a Smith number, since the sum of its digits (26) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 67242131.

It is not an unprimeable number, because it can be changed into a prime (67242137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7391 + ... + 13751.

It is an arithmetic number, because the mean of its divisors is an integer number (6317466).

Almost surely, 267242131 is an apocalyptic number.

67242131 is a deficient number, since it is larger than the sum of its proper divisors (8567461).

67242131 is a wasteful number, since it uses less digits than its factorization.

67242131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6434 (or 6403 counting only the distinct ones).

The product of its digits is 2016, while the sum is 26.

The square root of 67242131 is about 8200.1299379949. The cubic root of 67242131 is about 406.6434888549.

The spelling of 67242131 in words is "sixty-seven million, two hundred forty-two thousand, one hundred thirty-one".

Divisors: 1 11 31 341 961 6361 10571 69971 197191 2169101 6112921 67242131