Search a number
-
+
20937810201 = 3721159219467
BaseRepresentation
bin10011011111111111…
…011010000100011001
32000001012011221222220
4103133333122010121
5320340034411301
613341345534253
71340600310300
oct233777320431
960035157886
1020937810201
118974936780
124084044389
131c88a7c209
141028a85437
15828265936
hex4dffda119

20937810201 has 48 divisors (see below), whose sum is σ = 36027866880. Its totient is φ = 10692383520.

The previous prime is 20937810199. The next prime is 20937810211. The reversal of 20937810201 is 10201873902.

It is not a de Polignac number, because 20937810201 - 21 = 20937810199 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (20937810211) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14331 + ... + 205136.

It is an arithmetic number, because the mean of its divisors is an integer number (750580560).

Almost surely, 220937810201 is an apocalyptic number.

20937810201 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

20937810201 is a deficient number, since it is larger than the sum of its proper divisors (15090056679).

20937810201 is a wasteful number, since it uses less digits than its factorization.

20937810201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219554 (or 219547 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 33.

It can be divided in two parts, 20937 and 810201, that added together give a palindrome (831138).

The spelling of 20937810201 in words is "twenty billion, nine hundred thirty-seven million, eight hundred ten thousand, two hundred one".

Divisors: 1 3 7 11 21 33 49 59 77 147 177 231 413 539 649 1239 1617 1947 2891 4543 8673 13629 31801 95403 219467 658401 1536269 2414137 4608807 7242411 10753883 12948553 16898959 32261649 38845659 50696877 90639871 118292713 142434083 271919613 354878139 427302249 634479097 997038581 1903437291 2991115743 6979270067 20937810201