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34031120312331 = 3241158875805077
BaseRepresentation
bin1111011110011011111001…
…10101100110100000001011
311110111100021021202010101200
413233031330311212200023
513430031213244443311
6200213403021315243
710111444612604022
oct757157465464013
9143440237663350
1034031120312331
11a930576254a0a
123997561405b23
1315cb17574307c
1485918783d8b9
153e0362e07556
hex1ef37cd6680b

34031120312331 has 24 divisors (see below), whose sum is σ = 50358169278144. Its totient is φ = 22132664960640.

The previous prime is 34031120312327. The next prime is 34031120312363. The reversal of 34031120312331 is 13321302113043.

34031120312331 is a `hidden beast` number, since 3 + 4 + 0 + 3 + 1 + 12 + 0 + 312 + 331 = 666.

It is not a de Polignac number, because 34031120312331 - 22 = 34031120312327 is a prime.

It is a super-2 number, since 2×340311203123312 (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 34031120312295 and 34031120312304.

It is not an unprimeable number, because it can be changed into a prime (34031120312381) 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, 2959765 + ... + 8764841.

It is an arithmetic number, because the mean of its divisors is an integer number (2098257053256).

Almost surely, 234031120312331 is an apocalyptic number.

34031120312331 is a deficient number, since it is larger than the sum of its proper divisors (16327048965813).

34031120312331 is a wasteful number, since it uses less digits than its factorization.

34031120312331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5821011 (or 5821008 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 34031120312331 its reverse (13321302113043), we get a palindrome (47352422425374).

The spelling of 34031120312331 in words is "thirty-four trillion, thirty-one billion, one hundred twenty million, three hundred twelve thousand, three hundred thirty-one".

Divisors: 1 3 9 41 123 369 15887 47661 142983 651367 1954101 5805077 5862303 17415231 52245693 238008157 714024471 2142073413 92225258299 276675774897 830027324691 3781235590259 11343706770777 34031120312331