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34122400130 = 25713222116883
BaseRepresentation
bin11111110001110110…
…101000000110000010
310021002001022112020102
4133301312220012002
51024340313301010
623401533242402
72315404421060
oct376166500602
9107061275212
1034122400130
1113520229295
126743633402
1332aa471010
141919b41030
15d4a9caba5
hex7f1da8182

34122400130 has 64 divisors (see below), whose sum is σ = 75632755968. Its totient is φ = 10793675520.

The previous prime is 34122400093. The next prime is 34122400223. The reversal of 34122400130 is 3100422143.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2012669 + ... + 2029551.

It is an arithmetic number, because the mean of its divisors is an integer number (1181761812).

Almost surely, 234122400130 is an apocalyptic number.

34122400130 is an abundant number, since it is smaller than the sum of its proper divisors (41510355838).

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

34122400130 is a wasteful number, since it uses less digits than its factorization.

34122400130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19131.

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 34122400130 its reverse (3100422143), we get a palindrome (37222822273).

The spelling of 34122400130 in words is "thirty-four billion, one hundred twenty-two million, four hundred thousand, one hundred thirty".

Divisors: 1 2 5 7 10 13 14 26 35 65 70 91 130 182 455 910 2221 4442 11105 15547 16883 22210 28873 31094 33766 57746 77735 84415 118181 144365 155470 168830 202111 219479 236362 288730 404222 438958 590905 1010555 1097395 1181810 1536353 2021110 2194790 3072706 7681765 15363530 37497143 74994286 187485715 262480001 374971430 487462859 524960002 974925718 1312400005 2437314295 2624800010 3412240013 4874628590 6824480026 17061200065 34122400130