Search a number
-
+
203001201000000 = 263356132112741
BaseRepresentation
bin101110001010000011100110…
…011110010111111001000000
3222121202201120201210110022000
4232022003212132113321000
5203101432424424000000
61555425244142344000
760521232001023414
oct5612034636277100
9877681521713260
10203001201000000
1159756364809107
121a926bab58b000
138936c14873470
14381b44c22ad44
1518707d8e6a000
hexb8a0e6797e40

203001201000000 has 1568 divisors, whose sum is σ = 807457251914880. Its totient is φ = 49714560000000.

The previous prime is 203001200999977. The next prime is 203001201000023. The reversal of 203001201000000 is 102100302.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (203001200999977) and next prime (203001201000023).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 74060998630 + ... + 74061001370.

Almost surely, 2203001201000000 is an apocalyptic number.

203001201000000 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 203001201000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (403728625957440).

203001201000000 is an abundant number, since it is smaller than the sum of its proper divisors (604456050914880).

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

203001201000000 is an equidigital number, since it uses as much as digits as its factorization.

203001201000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3016 (or 2975 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

Adding to 203001201000000 its reverse (102100302), we get a palindrome (203001303100302).

The spelling of 203001201000000 in words is "two hundred three trillion, one billion, two hundred one million", and thus it is an aban number.