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103102131303 = 322329166710303
BaseRepresentation
bin110000000000101011…
…1011010110001100111
3100212010100211221101200
41200001113122301213
53142123121200203
6115210420253543
710306652441043
oct1400127326147
9325110757350
10103102131303
113a7a8513286
1217b948412b3
1399514028b2
144dc1051023
152a367549a3
hex18015dac67

103102131303 has 48 divisors (see below), whose sum is σ = 160870993920. Its totient is φ = 63434935872.

The previous prime is 103102131283. The next prime is 103102131311. The reversal of 103102131303 is 303131201301.

It is a happy number.

103102131303 is a `hidden beast` number, since 1 + 0 + 310 + 21 + 31 + 303 = 666.

It is not a de Polignac number, because 103102131303 - 25 = 103102131271 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103102131313) 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 47 ways as a sum of consecutive naturals, for example, 10001850 + ... + 10012152.

It is an arithmetic number, because the mean of its divisors is an integer number (3351479040).

Almost surely, 2103102131303 is an apocalyptic number.

103102131303 is a deficient number, since it is larger than the sum of its proper divisors (57768862617).

103102131303 is a wasteful number, since it uses less digits than its factorization.

103102131303 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12028 (or 12025 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 103102131303 its reverse (303131201301), we get a palindrome (406233332604).

The spelling of 103102131303 in words is "one hundred three billion, one hundred two million, one hundred thirty-one thousand, three hundred three".

Divisors: 1 3 9 23 29 69 87 207 261 667 1667 2001 5001 6003 10303 15003 30909 38341 48343 92727 115023 145029 236969 298787 345069 435087 710907 896361 1111889 2132721 2689083 3335667 6872101 10007001 17175101 20616303 51525303 61848909 154575909 395027323 498077929 1185081969 1494233787 3555245907 4482701361 11455792367 34367377101 103102131303