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103131306 = 234636613
BaseRepresentation
bin1100010010110…
…10100010101010
321012001121120000
412021122202222
5202400200211
614122243430
72361413235
oct611324252
9235047500
10103131306
1153240093
122a656576
131849bb55
14d9a841c
1590c2656
hex625a8aa

103131306 has 20 divisors (see below), whose sum is σ = 231090882. Its totient is φ = 34377048.

The previous prime is 103131283. The next prime is 103131307. The reversal of 103131306 is 603131301.

It can be written as a sum of positive squares in only one way, i.e., 73874025 + 29257281 = 8595^2 + 5409^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (103131307) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 318145 + ... + 318468.

Almost surely, 2103131306 is an apocalyptic number.

103131306 is an abundant number, since it is smaller than the sum of its proper divisors (127959576).

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

103131306 is an equidigital number, since it uses as much as digits as its factorization.

103131306 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 636627 (or 636618 counting only the distinct ones).

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

The square root of 103131306 is about 10155.3584870255. The cubic root of 103131306 is about 468.9539221541.

Adding to 103131306 its reverse (603131301), we get a palindrome (706262607).

The spelling of 103131306 in words is "one hundred three million, one hundred thirty-one thousand, three hundred six".

Divisors: 1 2 3 6 9 18 27 54 81 162 636613 1273226 1909839 3819678 5729517 11459034 17188551 34377102 51565653 103131306