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103040000001 = 3289353364417
BaseRepresentation
bin101111111110110101…
…0011010000000000001
3100211222000221100021100
41133331222122000001
53142011220000001
6115200320445013
710305266356161
oct1377552320001
9324860840240
10103040000001
113a7764370a4
1217b77a79769
13994158a803
144db6aba5a1
152a31080586
hex17fda9a001

103040000001 has 24 divisors (see below), whose sum is σ = 150934647240. Its totient is φ = 67728900096.

The previous prime is 103039999999. The next prime is 103040000003. The reversal of 103040000001 is 100000040301.

It is an interprime number because it is at equal distance from previous prime (103039999999) and next prime (103040000003).

It can be written as a sum of positive squares in 4 ways, for example, as 3019612401 + 100020387600 = 54951^2 + 316260^2 .

It is not a de Polignac number, because 103040000001 - 21 = 103039999999 is a prime.

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 (103040000003) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 100545 + ... + 464961.

It is an arithmetic number, because the mean of its divisors is an integer number (6288943635).

Almost surely, 2103040000001 is an apocalyptic number.

It is an amenable number.

103040000001 is a deficient number, since it is larger than the sum of its proper divisors (47894647239).

103040000001 is a wasteful number, since it uses less digits than its factorization.

103040000001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 364865 (or 364862 counting only the distinct ones).

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

Adding to 103040000001 its reverse (100000040301), we get a palindrome (203040040302).

The spelling of 103040000001 in words is "one hundred three billion, forty million, one", and thus it is an aban number.

Divisors: 1 3 9 89 267 353 801 1059 3177 31417 94251 282753 364417 1093251 3279753 32433113 97299339 128639201 291898017 385917603 1157752809 11448888889 34346666667 103040000001