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230002013032 = 231143311195443
BaseRepresentation
bin1101011000110100110…
…0000011001101101000
3210222200020100212020021
43112031030003031220
512232021003404112
6253354513210224
722421443565521
oct3261514031550
9728606325207
10230002013032
11895a815a6a0
12386ab260974
13188c5c3a5cc
14b1bc8d1848
155eb2349907
hex358d303368

230002013032 has 64 divisors (see below), whose sum is σ = 482949941760. Its totient is φ = 101786193600.

The previous prime is 230002013023. The next prime is 230002013063. The reversal of 230002013032 is 230310200032.

It is a junction number, because it is equal to n+sod(n) for n = 230002012997 and 230002013015.

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 15 ways as a sum of consecutive naturals, for example, 1079103 + ... + 1274545.

It is an arithmetic number, because the mean of its divisors is an integer number (7546092840).

Almost surely, 2230002013032 is an apocalyptic number.

230002013032 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 230002013032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241474970880).

230002013032 is an abundant number, since it is smaller than the sum of its proper divisors (252947928728).

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

230002013032 is a wasteful number, since it uses less digits than its factorization.

230002013032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195814 (or 195810 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 16.

Adding to 230002013032 its reverse (230310200032), we get a palindrome (460312213064).

The spelling of 230002013032 in words is "two hundred thirty billion, two million, thirteen thousand, thirty-two".

Divisors: 1 2 4 8 11 22 43 44 86 88 172 311 344 473 622 946 1244 1892 2488 3421 3784 6842 13373 13684 26746 27368 53492 106984 147103 195443 294206 390886 588412 781772 1176824 1563544 2149873 4299746 8404049 8599492 16808098 17198984 33616196 60782773 67232392 92444539 121565546 184889078 243131092 369778156 486262184 668610503 739556312 1337221006 2613659239 2674442012 5227318478 5348884024 10454636956 20909273912 28750251629 57500503258 115001006516 230002013032