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10300442232 = 233429185093
BaseRepresentation
bin10011001011111010…
…00100011001111000
3222120212002200101110
421211331010121320
5132043403122412
64422034120320
7513153212553
oct114575043170
928525080343
1010300442232
114406370783
121bb57200a0
13c82011642
146da00d69a
15404457d3c
hex265f44678

10300442232 has 16 divisors (see below), whose sum is σ = 25751105640. Its totient is φ = 3433480736.

The previous prime is 10300442209. The next prime is 10300442233. The reversal of 10300442232 is 23224400301.

10300442232 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×103004422323 (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 10300442199 and 10300442208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10300442233) 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 3 ways as a sum of consecutive naturals, for example, 214592523 + ... + 214592570.

Almost surely, 210300442232 is an apocalyptic number.

10300442232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10300442232 is an abundant number, since it is smaller than the sum of its proper divisors (15450663408).

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

10300442232 is a wasteful number, since it uses less digits than its factorization.

10300442232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 429185102 (or 429185098 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

Adding to 10300442232 its reverse (23224400301), we get a palindrome (33524842533).

The spelling of 10300442232 in words is "ten billion, three hundred million, four hundred forty-two thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 24 429185093 858370186 1287555279 1716740372 2575110558 3433480744 5150221116 10300442232