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34103222241 = 3115636312909
BaseRepresentation
bin11111110000101101…
…011101111111100001
310021000201020012010020
4133300231131333201
51024320411102431
623400010224053
72315052414624
oct376055357741
9107021205106
1034103222241
111351041a6a0
126739125029
1332a64b7b5a
14191738bdbb
15d48e8d696
hex7f0b5dfe1

34103222241 has 32 divisors (see below), whose sum is σ = 49788656640. Its totient is φ = 20592129600.

The previous prime is 34103222201. The next prime is 34103222261. The reversal of 34103222241 is 14222230143.

It is a happy number.

It is not a de Polignac number, because 34103222241 - 26 = 34103222177 is a prime.

It is not an unprimeable number, because it can be changed into a prime (34103222201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11721895 + ... + 11724803.

It is an arithmetic number, because the mean of its divisors is an integer number (1555895520).

Almost surely, 234103222241 is an apocalyptic number.

It is an amenable number.

34103222241 is a deficient number, since it is larger than the sum of its proper divisors (15685434399).

34103222241 is a wasteful number, since it uses less digits than its factorization.

34103222241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4117.

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 34103222241 its reverse (14222230143), we get a palindrome (48325452384).

The spelling of 34103222241 in words is "thirty-four billion, one hundred three million, two hundred twenty-two thousand, two hundred forty-one".

Divisors: 1 3 11 33 563 631 1689 1893 2909 6193 6941 8727 18579 20823 31999 95997 355253 1065759 1637767 1835579 3907783 4913301 5506737 11723349 18015437 20191369 54046311 60574107 1033430977 3100292931 11367740747 34103222241