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34013323123 = 132201262267
BaseRepresentation
bin11111101011010110…
…100001111101110011
310020210110001211201021
4133223112201331303
51024124402314443
623343035320311
72312611322233
oct375326417563
9106713054637
1034013323123
11134746a80aa
126712bb0097
13329099cb00
141909469cc3
15d411319ed
hex7eb5a1f73

34013323123 has 6 divisors (see below), whose sum is σ = 36830995044. Its totient is φ = 31396913496.

The previous prime is 34013323117. The next prime is 34013323133. The reversal of 34013323123 is 32132331043.

It is a de Polignac number, because none of the positive numbers 2k-34013323123 is a prime.

It is a super-2 number, since 2×340133231232 (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (34013323133) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 100630965 + ... + 100631302.

It is an arithmetic number, because the mean of its divisors is an integer number (6138499174).

Almost surely, 234013323123 is an apocalyptic number.

34013323123 is a deficient number, since it is larger than the sum of its proper divisors (2817671921).

34013323123 is a wasteful number, since it uses less digits than its factorization.

34013323123 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201262293 (or 201262280 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 25.

Adding to 34013323123 its reverse (32132331043), we get a palindrome (66145654166).

The spelling of 34013323123 in words is "thirty-four billion, thirteen million, three hundred twenty-three thousand, one hundred twenty-three".

Divisors: 1 13 169 201262267 2616409471 34013323123