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20311420020 = 22355314994261
BaseRepresentation
bin10010111010101001…
…111010110001110100
31221102112112001012120
4102322221322301310
5313044210420040
613155252115540
71316223135663
oct227251726164
957375461176
1020311420020
1186832a3541
123b2a305bb0
131bb9073738
14da97ccdda
157dd2837d0
hex4baa7ac74

20311420020 has 96 divisors (see below), whose sum is σ = 57997296000. Its totient is φ = 5309391360.

The previous prime is 20311420009. The next prime is 20311420079. The reversal of 20311420020 is 2002411302.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

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, 4764690 + ... + 4768950.

It is an arithmetic number, because the mean of its divisors is an integer number (604138500).

Almost surely, 220311420020 is an apocalyptic number.

20311420020 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 20311420020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28998648000).

20311420020 is an abundant number, since it is smaller than the sum of its proper divisors (37685875980).

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

20311420020 is a wasteful number, since it uses less digits than its factorization.

20311420020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5825 (or 5823 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 20311420020 its reverse (2002411302), we get a palindrome (22313831322).

The spelling of 20311420020 in words is "twenty billion, three hundred eleven million, four hundred twenty thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 53 60 106 159 212 265 318 530 636 795 1060 1499 1590 2998 3180 4261 4497 5996 7495 8522 8994 12783 14990 17044 17988 21305 22485 25566 29980 42610 44970 51132 63915 79447 85220 89940 127830 158894 225833 238341 255660 317788 397235 451666 476682 677499 794470 903332 953364 1129165 1191705 1354998 1588940 2258330 2383410 2709996 3387495 4516660 4766820 6387239 6774990 12774478 13549980 19161717 25548956 31936195 38323434 63872390 76646868 95808585 127744780 191617170 338523667 383234340 677047334 1015571001 1354094668 1692618335 2031142002 3385236670 4062284004 5077855005 6770473340 10155710010 20311420020