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34130402130 = 23511103425461
BaseRepresentation
bin11111110010010101…
…001001101101010010
310021002121101001220210
4133302111021231102
51024344340332010
623402420544550
72315532426366
oct376225115522
9107077331823
1034130402130
11135247a4310
126746252156
1332ac013326
14191ac252a6
15d4b55bb20
hex7f2549b52

34130402130 has 32 divisors (see below), whose sum is σ = 89359599168. Its totient is φ = 8274036800.

The previous prime is 34130402113. The next prime is 34130402171. The reversal of 34130402130 is 3120403143.

It is a junction number, because it is equal to n+sod(n) for n = 34130402097 and 34130402106.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 51712401 + ... + 51713060.

It is an arithmetic number, because the mean of its divisors is an integer number (2792487474).

Almost surely, 234130402130 is an apocalyptic number.

34130402130 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

34130402130 is an abundant number, since it is smaller than the sum of its proper divisors (55229197038).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

34130402130 is a wasteful number, since it uses less digits than its factorization.

34130402130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103425482.

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 34130402130 its reverse (3120403143), we get a palindrome (37250805273).

The spelling of 34130402130 in words is "thirty-four billion, one hundred thirty million, four hundred two thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 110 165 330 103425461 206850922 310276383 517127305 620552766 1034254610 1137680071 1551381915 2275360142 3102763830 3413040213 5688400355 6826080426 11376800710 17065201065 34130402130