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203131000020 = 2235132101241823
BaseRepresentation
bin1011110100101110001…
…1010001010011010100
3201102022112210222002010
42331023203101103110
511312003014000040
6233152254144220
720450530003644
oct2751343212324
9642275728063
10203131000020
1179169176923
12334501b2070
1316202bac400
149b8dc68524
15543d292e80
hex2f4b8d14d4

203131000020 has 288 divisors, whose sum is σ = 625321154304. Its totient is φ = 49241088000.

The previous prime is 203130999983. The next prime is 203131000031. The reversal of 203131000020 is 20000131302.

It is a happy number.

203131000020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

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 95 ways as a sum of consecutive naturals, for example, 246817329 + ... + 246818151.

It is an arithmetic number, because the mean of its divisors is an integer number (2171254008).

Almost surely, 2203131000020 is an apocalyptic number.

203131000020 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 203131000020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (312660577152).

203131000020 is an abundant number, since it is smaller than the sum of its proper divisors (422190154284).

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

203131000020 is a wasteful number, since it uses less digits than its factorization.

203131000020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1203 (or 1188 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 203131000020 its reverse (20000131302), we get a palindrome (223131131322).

The spelling of 203131000020 in words is "two hundred three billion, one hundred thirty-one million, twenty", and thus it is an aban number.