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10300023100 = 2252103000231
BaseRepresentation
bin10011001011110110…
…11110000100111100
3222120211022101110001
421211323132010330
5132043301214400
64422021124044
7513146515603
oct114573360474
928524271401
1010300023100
114406104894
121bb5559624
13c81bc5933
146d9d40a3a
154043c3a6a
hex265ede13c

10300023100 has 18 divisors (see below), whose sum is σ = 22351050344. Its totient is φ = 4120009200.

The previous prime is 10300023067. The next prime is 10300023113. The reversal of 10300023100 is 132000301.

It is a super-2 number, since 2×103000231002 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

10300023100 is a modest number, since divided by 23100 gives 10300 as remainder.

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 5 ways as a sum of consecutive naturals, for example, 51500016 + ... + 51500215.

Almost surely, 210300023100 is an apocalyptic number.

10300023100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10300023100 is an abundant number, since it is smaller than the sum of its proper divisors (12051027244).

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

10300023100 is a wasteful number, since it uses less digits than its factorization.

10300023100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103000245 (or 103000238 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 10.

Adding to 10300023100 its reverse (132000301), we get a palindrome (10432023401).

The spelling of 10300023100 in words is "ten billion, three hundred million, twenty-three thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 103000231 206000462 412000924 515001155 1030002310 2060004620 2575005775 5150011550 10300023100