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34034031031 = 71113216715661
BaseRepresentation
bin11111101100100101…
…100001100110110111
310020211220000220121211
4133230211201212313
51024200202443111
623345055222251
72313252330160
oct375445414667
9106756026554
1034034031031
1113485361280
126719b17987
133295070500
14190c0da767
15d42d72521
hex7ec9619b7

34034031031 has 48 divisors (see below), whose sum is σ = 46225202688. Its totient is φ = 24331881600.

The previous prime is 34034031013. The next prime is 34034031139. The reversal of 34034031031 is 13013043043.

It is a happy number.

It is not a de Polignac number, because 34034031031 - 217 = 34033899959 is a prime.

It is a super-2 number, since 2×340340310312 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 34034030993 and 34034031011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34034031631) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2165341 + ... + 2181001.

It is an arithmetic number, because the mean of its divisors is an integer number (963025056).

Almost surely, 234034031031 is an apocalyptic number.

34034031031 is a deficient number, since it is larger than the sum of its proper divisors (12191171657).

34034031031 is a wasteful number, since it uses less digits than its factorization.

34034031031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15872 (or 15859 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 22.

Adding to 34034031031 its reverse (13013043043), we get a palindrome (47047074074).

The spelling of 34034031031 in words is "thirty-four billion, thirty-four million, thirty-one thousand, thirty-one".

Divisors: 1 7 11 13 77 91 143 167 169 1001 1169 1183 1837 1859 2171 12859 13013 15197 15661 23881 28223 109627 167167 172271 197561 203593 310453 1205897 1425151 2173171 2239523 2615387 2646709 15676661 18307709 18526963 28769257 29113799 34000031 201384799 203796593 238000217 374000341 442000403 2618002387 3094002821 4862004433 34034031031