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103301303131 = 13173115078281
BaseRepresentation
bin110000000110100111…
…1001100101101011011
3100212122020121220210001
41200031033030231123
53143030113200011
6115242253233431
710314621405655
oct1401517145533
9325566556701
10103301303131
113a89a98aaa4
121802b492877
139983759c50
144ddd6996d5
152a48e987c1
hex180d3ccb5b

103301303131 has 16 divisors (see below), whose sum is σ = 121591266048. Its totient is φ = 86850892800.

The previous prime is 103301303081. The next prime is 103301303137. The reversal of 103301303131 is 131303103301.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 103301303131 - 29 = 103301302619 is a prime.

It is a super-2 number, since 2×1033013031312 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 103301303099 and 103301303108.

It is not an unprimeable number, because it can be changed into a prime (103301303137) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 7532290 + ... + 7545991.

It is an arithmetic number, because the mean of its divisors is an integer number (7599454128).

Almost surely, 2103301303131 is an apocalyptic number.

103301303131 is a deficient number, since it is larger than the sum of its proper divisors (18289962917).

103301303131 is a wasteful number, since it uses less digits than its factorization.

103301303131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15078342.

The product of its (nonzero) digits is 243, while the sum is 19.

Adding to 103301303131 its reverse (131303103301), we get a palindrome (234604406432).

The spelling of 103301303131 in words is "one hundred three billion, three hundred one million, three hundred three thousand, one hundred thirty-one".

Divisors: 1 13 17 31 221 403 527 6851 15078281 196017653 256330777 467426711 3332300101 6076547243 7946254087 103301303131