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34201344131 = 472413019453
BaseRepresentation
bin11111110110100011…
…110001100010000011
310021021112212022001022
4133312203301202003
51030021021003011
623413433300055
72320353425363
oct376643614203
9107245768038
1034201344131
1113560849069
126765b6462b
1332c0921846
1419264109a3
15d528c18db
hex7f68f1883

34201344131 has 8 divisors (see below), whose sum is σ = 35073977664. Its totient is φ = 33334750080.

The previous prime is 34201344119. The next prime is 34201344137. The reversal of 34201344131 is 13144310243.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-34201344131 is a prime.

It is a super-2 number, since 2×342013441312 (a number of 22 digits) contains 22 as substring.

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 34201344131.

It is not an unprimeable number, because it can be changed into a prime (34201344137) 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 7 ways as a sum of consecutive naturals, for example, 1498400 + ... + 1521053.

It is an arithmetic number, because the mean of its divisors is an integer number (4384247208).

Almost surely, 234201344131 is an apocalyptic number.

34201344131 is a deficient number, since it is larger than the sum of its proper divisors (872633533).

34201344131 is a wasteful number, since it uses less digits than its factorization.

34201344131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3019741.

The product of its (nonzero) digits is 3456, while the sum is 26.

Adding to 34201344131 its reverse (13144310243), we get a palindrome (47345654374).

The spelling of 34201344131 in words is "thirty-four billion, two hundred one million, three hundred forty-four thousand, one hundred thirty-one".

Divisors: 1 47 241 11327 3019453 141914291 727688173 34201344131