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34971348241 is a prime number
BaseRepresentation
bin100000100100011101…
…000110110100010001
310100021012202120010001
4200210131012310101
51033110131120431
624022101210001
72345423361334
oct404435066421
9110235676101
1034971348241
11139164615a5
12693ba00901
1333b430158b
14199a7ac61b
15d9a2c0e61
hex824746d11

34971348241 has 2 divisors, whose sum is σ = 34971348242. Its totient is φ = 34971348240.

The previous prime is 34971348229. The next prime is 34971348253. The reversal of 34971348241 is 14284317943.

It is a balanced prime because it is at equal distance from previous prime (34971348229) and next prime (34971348253).

It can be written as a sum of positive squares in only one way, i.e., 28745507025 + 6225841216 = 169545^2 + 78904^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-34971348241 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 34971348191 and 34971348200.

It is not a weakly prime, because it can be changed into another prime (34971348221) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17485674120 + 17485674121.

It is an arithmetic number, because the mean of its divisors is an integer number (17485674121).

Almost surely, 234971348241 is an apocalyptic number.

It is an amenable number.

34971348241 is a deficient number, since it is larger than the sum of its proper divisors (1).

34971348241 is an equidigital number, since it uses as much as digits as its factorization.

34971348241 is an evil number, because the sum of its binary digits is even.

The product of its digits is 580608, while the sum is 46.

The spelling of 34971348241 in words is "thirty-four billion, nine hundred seventy-one million, three hundred forty-eight thousand, two hundred forty-one".