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13142342130 = 2354129336467
BaseRepresentation
bin11000011110101100…
…00011100111110010
31020220220122011011020
430033112003213302
5203403414422010
610012034000310
7643452031161
oct141726034762
936826564136
1013142342130
115634567185
122669416096
131315a1c108
148c961d3d8
1551dbbc470
hex30f5839f2

13142342130 has 64 divisors (see below), whose sum is σ = 32422094208. Its totient is φ = 3407383040.

The previous prime is 13142342113. The next prime is 13142342137. The reversal of 13142342130 is 3124324131.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 13142342130.

It is not an unprimeable number, because it can be changed into a prime (13142342137) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 342157 + ... + 378623.

It is an arithmetic number, because the mean of its divisors is an integer number (506595222).

Almost surely, 213142342130 is an apocalyptic number.

13142342130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13142342130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16211047104).

13142342130 is an abundant number, since it is smaller than the sum of its proper divisors (19279752078).

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

13142342130 is a wasteful number, since it uses less digits than its factorization.

13142342130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36811.

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 13142342130 its reverse (3124324131), we get a palindrome (16266666261).

The spelling of 13142342130 in words is "thirteen billion, one hundred forty-two million, three hundred forty-two thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 41 82 123 205 246 293 410 586 615 879 1230 1465 1758 2930 4395 8790 12013 24026 36039 36467 60065 72078 72934 109401 120130 180195 182335 218802 360390 364670 547005 1094010 1495147 2990294 4485441 7475735 8970882 10684831 14951470 21369662 22427205 32054493 44854410 53424155 64108986 106848310 160272465 320544930 438078071 876156142 1314234213 2190390355 2628468426 4380780710 6571171065 13142342130