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10303020000 = 2532547131737
BaseRepresentation
bin10011001100001101…
…11001101111100000
3222121000221122102100
421212012321233200
5132100033120000
64422205250400
7513214140120
oct114606715740
928530848370
1010303020000
114407871469
121bb6563a00
13c82704a50
146da4c0c80
154047b6a00
hex2661b9be0

10303020000 has 1440 divisors, whose sum is σ = 49001464512. Its totient is φ = 1990656000.

The previous prime is 10303019989. The next prime is 10303020001. The reversal of 10303020000 is 2030301.

It is a happy number.

10303020000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a super-2 number, since 2×103030200002 (a number of 21 digits) contains 22 as substring.

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

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10303020001) 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 239 ways as a sum of consecutive naturals, for example, 278459982 + ... + 278460018.

Almost surely, 210303020000 is an apocalyptic number.

10303020000 is a gapful number since it is divisible by the number (10) 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 10303020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24500732256).

10303020000 is an abundant number, since it is smaller than the sum of its proper divisors (38698444512).

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

10303020000 is a wasteful number, since it uses less digits than its factorization.

10303020000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 9.

Adding to 10303020000 its reverse (2030301), we get a palindrome (10305050301).

The spelling of 10303020000 in words is "ten billion, three hundred three million, twenty thousand".