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34131043121 = 731831895011
BaseRepresentation
bin11111110010010111…
…100110001100110001
310021002122120122012012
4133302113212030301
51024400021334441
623402442412305
72315541036230
oct376227461461
9107078518165
1034131043121
11135250a195a
126746501095
1332ac1a9006
14191ad50b17
15d4b6369eb
hex7f25e6331

34131043121 has 16 divisors (see below), whose sum is σ = 40750338048. Its totient is φ = 27970347600.

The previous prime is 34131043097. The next prime is 34131043139. The reversal of 34131043121 is 12134013143.

It is a cyclic number.

It is not a de Polignac number, because 34131043121 - 26 = 34131043057 is a prime.

It is a super-2 number, since 2×341310431212 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (34131043171) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 929495 + ... + 965516.

It is an arithmetic number, because the mean of its divisors is an integer number (2546896128).

Almost surely, 234131043121 is an apocalyptic number.

34131043121 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

It is an amenable number.

34131043121 is a deficient number, since it is larger than the sum of its proper divisors (6619294927).

34131043121 is a wasteful number, since it uses less digits than its factorization.

34131043121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1895132.

The product of its (nonzero) digits is 864, while the sum is 23.

Adding to 34131043121 its reverse (12134013143), we get a palindrome (46265056264).

The spelling of 34131043121 in words is "thirty-four billion, one hundred thirty-one million, forty-three thousand, one hundred twenty-one".

Divisors: 1 7 31 83 217 581 2573 18011 1895011 13265077 58745341 157285913 411217387 1101001391 4875863303 34131043121