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34012320310031 = 729713154625717
BaseRepresentation
bin1111011101111000111000…
…10001010010001100001111
311110102112202002020001112012
413232330130101102030033
513424224212444410111
6200201013320131435
710110211001325500
oct756743421221417
9143375662201465
1034012320310031
11a9235a912aa28
123993995306b7b
1315c946a85b85b
148582c2a86ba7
153deb126c648b
hex1eef1c45230f

34012320310031 has 24 divisors (see below), whose sum is σ = 40278382418736. Its totient is φ = 28632615298560.

The previous prime is 34012320309911. The next prime is 34012320310063. The reversal of 34012320310031 is 13001302321043.

It is a de Polignac number, because none of the positive numbers 2k-34012320310031 is a prime.

It is a super-2 number, since 2×340123203100312 (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 34012320309979 and 34012320310006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34012320310531) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26690216 + ... + 27935501.

It is an arithmetic number, because the mean of its divisors is an integer number (1678265934114).

Almost surely, 234012320310031 is an apocalyptic number.

34012320310031 is a deficient number, since it is larger than the sum of its proper divisors (6266062108705).

34012320310031 is a wasteful number, since it uses less digits than its factorization.

34012320310031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54625959 (or 54625952 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 23.

Adding to 34012320310031 its reverse (13001302321043), we get a palindrome (47013622631074).

The spelling of 34012320310031 in words is "thirty-four trillion, twelve billion, three hundred twenty million, three hundred ten thousand, thirty-one".

Divisors: 1 7 49 97 131 679 917 4753 6419 12707 88949 622643 54625717 382380019 2676660133 5298694549 7155968927 37090861843 50091782489 259636032901 350642477423 694128985919 4858902901433 34012320310031