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203122424640 = 26351725912409
BaseRepresentation
bin1011110100101100001…
…0100011101101000000
3201102021221200021212110
42331023002203231000
511311443320042030
6233151350255320
720450364056562
oct2751302435500
9642257607773
10203122424640
117916434a033
1233449357540
1316201199115
149b8ca75332
15543c64c1b0
hex2f4b0a3b40

203122424640 has 336 divisors, whose sum is σ = 696749025600. Its totient is φ = 50111643648.

The previous prime is 203122424629. The next prime is 203122424683. The reversal of 203122424640 is 46424221302.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 203122424598 and 203122424607.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 16362756 + ... + 16375164.

Almost surely, 2203122424640 is an apocalyptic number.

203122424640 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 203122424640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (348374512800).

203122424640 is an abundant number, since it is smaller than the sum of its proper divisors (493626600960).

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

203122424640 is a wasteful number, since it uses less digits than its factorization.

203122424640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12522 (or 12495 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

Adding to 203122424640 its reverse (46424221302), we get a palindrome (249546645942).

The spelling of 203122424640 in words is "two hundred three billion, one hundred twenty-two million, four hundred twenty-four thousand, six hundred forty".