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10000103130 = 233537037419
BaseRepresentation
bin10010101000000110…
…10111011011011010
3221210220221212121000
421110003113123122
5130440011300010
64332144525430
7502545321423
oct112403273332
927726855530
1010000103130
114271885546
121b31020876
13c34a253b4
146ac18c64a
153d7dcd7c0
hex2540d76da

10000103130 has 32 divisors (see below), whose sum is σ = 26666942400. Its totient is φ = 2666694096.

The previous prime is 10000103129. The next prime is 10000103131. The reversal of 10000103130 is 3130100001.

10000103130 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10000103129) and next prime (10000103131).

It is a super-2 number, since 2×100001031302 (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 not an unprimeable number, because it can be changed into a prime (10000103131) 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 15 ways as a sum of consecutive naturals, for example, 18518440 + ... + 18518979.

It is an arithmetic number, because the mean of its divisors is an integer number (833341950).

Almost surely, 210000103130 is an apocalyptic number.

10000103130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10000103130 is an abundant number, since it is smaller than the sum of its proper divisors (16666839270).

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

10000103130 is a wasteful number, since it uses less digits than its factorization.

10000103130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37037435 (or 37037429 counting only the distinct ones).

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

Adding to 10000103130 its reverse (3130100001), we get a palindrome (13130203131).

The spelling of 10000103130 in words is "ten billion, one hundred three thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 135 270 37037419 74074838 111112257 185187095 222224514 333336771 370374190 555561285 666673542 1000010313 1111122570 1666683855 2000020626 3333367710 5000051565 10000103130