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34213121224331 = 729233117557823
BaseRepresentation
bin1111100011101110111001…
…11011111110111010001011
311111010202001020120101220012
413301313130323332322023
513441021433013134311
6200433142500422135
710130550016044560
oct761673473767213
9144122036511805
1034213121224331
11a9a0780aa6975
123a068950a794b
13161238ba90aca
14863cd1290867
153e4e6610378b
hex1f1ddcefee8b

34213121224331 has 24 divisors (see below), whose sum is σ = 40617848653824. Its totient is φ = 28228763898720.

The previous prime is 34213121224283. The next prime is 34213121224349. The reversal of 34213121224331 is 13342212131243.

It is not a de Polignac number, because 34213121224331 - 242 = 29815074713227 is a prime.

It is a super-2 number, since 2×342131212243312 (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (34213121224351) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6830315 + ... + 10727508.

It is an arithmetic number, because the mean of its divisors is an integer number (1692410360576).

Almost surely, 234213121224331 is an apocalyptic number.

34213121224331 is a deficient number, since it is larger than the sum of its proper divisors (6404727429493).

34213121224331 is a wasteful number, since it uses less digits than its factorization.

34213121224331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17558219 (or 17558190 counting only the distinct ones).

The product of its digits is 20736, while the sum is 32.

Adding to 34213121224331 its reverse (13342212131243), we get a palindrome (47555333355574).

The spelling of 34213121224331 in words is "thirty-four trillion, two hundred thirteen billion, one hundred twenty-one million, two hundred twenty-four thousand, three hundred thirty-one".

Divisors: 1 7 29 203 331 841 2317 5887 9599 67193 278371 1948597 17557823 122904761 509176867 3564238069 5811639413 14766129143 40681475891 103362904001 168537542977 1179762800839 4887588746333 34213121224331