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203018210020 = 22575782116333
BaseRepresentation
bin1011110100010011010…
…1000000101011100100
3201102000200120122021201
42331010311000223210
511311240130210040
6233133144452244
720444660212063
oct2750465005344
9642020518251
10203018210020
117911053a04a
123341a47a084
13161b570b172
149b7cca81da
155433413a9a
hex2f44d40ae4

203018210020 has 48 divisors (see below), whose sum is σ = 427447582128. Its totient is φ = 80996267520.

The previous prime is 203018209969. The next prime is 203018210023. The reversal of 203018210020 is 20012810302.

It can be written as a sum of positive squares in 8 ways, for example, as 28382814784 + 174635395236 = 168472^2 + 417894^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 203018210020.

It is not an unprimeable number, because it can be changed into a prime (203018210023) by changing a digit.

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, 12421774 + ... + 12438106.

It is an arithmetic number, because the mean of its divisors is an integer number (8905157961).

Almost surely, 2203018210020 is an apocalyptic number.

203018210020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

203018210020 is an abundant number, since it is smaller than the sum of its proper divisors (224429372108).

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

203018210020 is a wasteful number, since it uses less digits than its factorization.

203018210020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17920 (or 17918 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

The spelling of 203018210020 in words is "two hundred three billion, eighteen million, two hundred ten thousand, twenty".

Divisors: 1 2 4 5 10 20 757 821 1514 1642 3028 3284 3785 4105 7570 8210 15140 16333 16420 32666 65332 81665 163330 326660 621497 1242994 2485988 3107485 6214970 12364081 12429940 13409393 24728162 26818786 49456324 53637572 61820405 67046965 123640810 134093930 247281620 268187860 10150910501 20301821002 40603642004 50754552505 101509105010 203018210020