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230001242020 = 2251110115316761
BaseRepresentation
bin1101011000110100100…
…1000110111110100100
3210222200011220200121021
43112031021012332210
512232020304221040
6253354444500524
722421434204624
oct3261511067644
9728604820537
10230001242020
11895a77833a0
12386aab4a744
13188c5a2a6a4
14b1bc770884
155eb224624a
hex358d246fa4

230001242020 has 96 divisors (see below), whose sum is σ = 532555212672. Its totient is φ = 82742400000.

The previous prime is 230001241997. The next prime is 230001242047. The reversal of 230001242020 is 20242100032.

230001242020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2300012420202 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 230001241985 and 230001242003.

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 31 ways as a sum of consecutive naturals, for example, 34015440 + ... + 34022200.

It is an arithmetic number, because the mean of its divisors is an integer number (5547450132).

Almost surely, 2230001242020 is an apocalyptic number.

230001242020 is a gapful number since it is divisible by the number (20) 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 230001242020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266277606336).

230001242020 is an abundant number, since it is smaller than the sum of its proper divisors (302553970652).

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

230001242020 is a wasteful number, since it uses less digits than its factorization.

230001242020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8413 (or 8411 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

Adding to 230001242020 its reverse (20242100032), we get a palindrome (250243342052).

The spelling of 230001242020 in words is "two hundred thirty billion, one million, two hundred forty-two thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 101 110 202 220 404 505 1010 1111 1531 2020 2222 3062 4444 5555 6124 6761 7655 11110 13522 15310 16841 22220 27044 30620 33682 33805 67364 67610 74371 84205 135220 148742 154631 168410 297484 309262 336820 371855 618524 682861 743710 773155 1365722 1487420 1546310 1700941 2731444 3092620 3401882 3414305 6803764 6828610 7511471 8504705 10351091 13657220 15022942 17009410 20702182 30045884 34018820 37557355 41404364 51755455 75114710 103510910 113862001 150229420 207021820 227724002 455448004 569310005 1045460191 1138620010 2090920382 2277240020 4181840764 5227300955 10454601910 11500062101 20909203820 23000124202 46000248404 57500310505 115000621010 230001242020