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203131033220 = 22552199719553
BaseRepresentation
bin1011110100101110001…
…1011001011010000100
3201102022112212122121202
42331023203121122010
511312003021030340
6233152255002032
720450530202513
oct2751343313204
9642275778552
10203131033220
1179169199865
1233450209318
1316202bc155b
149b8dc7667a
15543d29cc15
hex2f4b8d9684

203131033220 has 48 divisors (see below), whose sum is σ = 427844492208. Its totient is φ = 81010974720.

The previous prime is 203131033207. The next prime is 203131033267. The reversal of 203131033220 is 22330131302.

203131033220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 8953322884 + 194177710336 = 94622^2 + 440656^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 203131033192 and 203131033201.

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 15 ways as a sum of consecutive naturals, for example, 10378964 + ... + 10398516.

It is an arithmetic number, because the mean of its divisors is an integer number (8913426921).

Almost surely, 2203131033220 is an apocalyptic number.

203131033220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

203131033220 is an abundant number, since it is smaller than the sum of its proper divisors (224713458988).

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

203131033220 is a wasteful number, since it uses less digits than its factorization.

203131033220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21080 (or 21078 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 20.

Adding to 203131033220 its reverse (22330131302), we get a palindrome (225461164522).

The spelling of 203131033220 in words is "two hundred three billion, one hundred thirty-one million, thirty-three thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 521 997 1042 1994 2084 2605 3988 4985 5210 9970 10420 19553 19940 39106 78212 97765 195530 391060 519437 1038874 2077748 2597185 5194370 10187113 10388740 19494341 20374226 38988682 40748452 50935565 77977364 97471705 101871130 194943410 203742260 389886820 10156551661 20313103322 40626206644 50782758305 101565516610 203131033220