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34243242133 = 1131496433163
BaseRepresentation
bin11111111001000011…
…100110100010010101
310021101110200221022011
4133321003212202111
51030112232222013
623421531304221
72321402520112
oct377103464225
9107343627264
1034243242133
1113582465711
126777bab071
1332c9501269
14192bbd9909
15d563eac3d
hex7f90e6895

34243242133 has 16 divisors (see below), whose sum is σ = 34843233600. Its totient is φ = 33649346304.

The previous prime is 34243242127. The next prime is 34243242263. The reversal of 34243242133 is 33124234243.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 34243242133 - 221 = 34241144981 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 34243242095 and 34243242104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34243242113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10824610 + ... + 10827772.

It is an arithmetic number, because the mean of its divisors is an integer number (2177702100).

Almost surely, 234243242133 is an apocalyptic number.

It is an amenable number.

34243242133 is a deficient number, since it is larger than the sum of its proper divisors (599991467).

34243242133 is a wasteful number, since it uses less digits than its factorization.

34243242133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4068.

The product of its digits is 41472, while the sum is 31.

Adding to 34243242133 its reverse (33124234243), we get a palindrome (67367476376).

The spelling of 34243242133 in words is "thirty-four billion, two hundred forty-three million, two hundred forty-two thousand, one hundred thirty-three".

Divisors: 1 113 149 643 3163 16837 72659 95807 357419 471287 2033809 10826191 53255431 229820417 303037541 34243242133