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34101034451 = 1121722234373
BaseRepresentation
bin11111110000100101…
…000111110111010011
310021000120010001000222
4133300211013313103
51024314331100301
623355451303255
72315025003341
oct376045076723
9107016101028
1034101034451
111350a165a00
12673844ab2b
1332a5c000c3
141916d7c991
15d48baa31b
hex7f0947dd3

34101034451 has 36 divisors (see below), whose sum is σ = 40005233856. Its totient is φ = 29039873280.

The previous prime is 34101034403. The next prime is 34101034463. The reversal of 34101034451 is 15443010143.

It is a happy number.

It is a de Polignac number, because none of the positive numbers 2k-34101034451 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 34101034451.

It is not an unprimeable number, because it can be changed into a prime (34101034481) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 7795901 + ... + 7800273.

It is an arithmetic number, because the mean of its divisors is an integer number (1111256496).

Almost surely, 234101034451 is an apocalyptic number.

34101034451 is a deficient number, since it is larger than the sum of its proper divisors (5904199405).

34101034451 is a wasteful number, since it uses less digits than its factorization.

34101034451 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4652 (or 4624 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 26.

Adding to 34101034451 its reverse (15443010143), we get a palindrome (49544044594).

The spelling of 34101034451 in words is "thirty-four billion, one hundred one million, thirty-four thousand, four hundred fifty-one".

Divisors: 1 11 17 121 187 223 289 2057 2453 3179 3791 4373 26983 34969 41701 48103 64447 74341 458711 529133 708917 817751 975179 1263797 7798087 8995261 10726969 13901767 16578043 117996659 152919437 182358473 281826731 2005943203 3100094041 34101034451