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34031120312381 is a prime number
BaseRepresentation
bin1111011110011011111001…
…10101100110100000111101
311110111100021021202010110112
413233031330311212200331
513430031213244444011
6200213403021315405
710111444612604123
oct757157465464075
9143440237663415
1034031120312381
11a930576254a55
123997561405b65
1315cb1757430ba
1485918783d913
153e0362e0758b
hex1ef37cd6683d

34031120312381 has 2 divisors, whose sum is σ = 34031120312382. Its totient is φ = 34031120312380.

The previous prime is 34031120312377. The next prime is 34031120312419. The reversal of 34031120312381 is 18321302113043.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 22515651344356 + 11515468968025 = 4745066^2 + 3393445^2 .

It is a cyclic number.

It is not a de Polignac number, because 34031120312381 - 22 = 34031120312377 is a prime.

It is a super-2 number, since 2×340311203123812 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (34031120332381) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17015560156190 + 17015560156191.

It is an arithmetic number, because the mean of its divisors is an integer number (17015560156191).

Almost surely, 234031120312381 is an apocalyptic number.

It is an amenable number.

34031120312381 is a deficient number, since it is larger than the sum of its proper divisors (1).

34031120312381 is an equidigital number, since it uses as much as digits as its factorization.

34031120312381 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 10368, while the sum is 32.

The spelling of 34031120312381 in words is "thirty-four trillion, thirty-one billion, one hundred twenty million, three hundred twelve thousand, three hundred eighty-one".