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20020001300 = 22521319018101
BaseRepresentation
bin10010101001010010…
…001111101000010100
31220200020011102212122
4102221102033220110
5312000110020200
613110322035112
71306054126505
oct225122175024
956606142778
1020020001300
118543850322
123a687a8a98
131b7088b820
14d7cc10bac
157c28bc385
hex4a948fa14

20020001300 has 72 divisors (see below), whose sum is σ = 46815592152. Its totient is φ = 7387200000.

The previous prime is 20020001293. The next prime is 20020001327. The reversal of 20020001300 is 310002002.

It can be written as a sum of positive squares in 12 ways, for example, as 6280879504 + 13739121796 = 79252^2 + 117214^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2467250 + ... + 2475350.

Almost surely, 220020001300 is an apocalyptic number.

20020001300 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 20020001300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23407796076).

20020001300 is an abundant number, since it is smaller than the sum of its proper divisors (26795590852).

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

20020001300 is a wasteful number, since it uses less digits than its factorization.

20020001300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10029 (or 10022 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 8.

Adding to 20020001300 its reverse (310002002), we get a palindrome (20330003302).

The spelling of 20020001300 in words is "twenty billion, twenty million, one thousand, three hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 130 260 325 650 1300 1901 3802 7604 8101 9505 16202 19010 24713 32404 38020 40505 47525 49426 81010 95050 98852 105313 123565 162020 190100 202525 210626 247130 405050 421252 494260 526565 617825 810100 1053130 1235650 2106260 2471300 2632825 5265650 10531300 15400001 30800002 61600004 77000005 154000010 200200013 308000020 385000025 400400026 770000050 800800052 1001000065 1540000100 2002000130 4004000260 5005000325 10010000650 20020001300