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103134393 = 3217412401
BaseRepresentation
bin1100010010110…
…11010010111001
321012001202210100
412021123102321
5202400300033
614122310013
72361425235
oct611332271
9235052710
10103134393
115324243a
122a658309
13184a038b
14d9a95c5
1590c3513
hex625b4b9

103134393 has 36 divisors (see below), whose sum is σ = 162079164. Its totient is φ = 62976000.

The previous prime is 103134371. The next prime is 103134457. The reversal of 103134393 is 393431301.

It can be written as a sum of positive squares in 6 ways, for example, as 558009 + 102576384 = 747^2 + 10128^2 .

It is not a de Polignac number, because 103134393 - 26 = 103134329 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (103134313) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 256993 + ... + 257393.

It is an arithmetic number, because the mean of its divisors is an integer number (4502199).

Almost surely, 2103134393 is an apocalyptic number.

It is an amenable number.

103134393 is a deficient number, since it is larger than the sum of its proper divisors (58944771).

103134393 is a wasteful number, since it uses less digits than its factorization.

103134393 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 506 (or 462 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 27.

The square root of 103134393 is about 10155.5104746143. The cubic root of 103134393 is about 468.9586011288.

Adding to 103134393 its reverse (393431301), we get a palindrome (496565694).

It can be divided in two parts, 10313 and 4393, that added together give a triangular number (14706 = T171).

The spelling of 103134393 in words is "one hundred three million, one hundred thirty-four thousand, three hundred ninety-three".

Divisors: 1 3 9 17 41 51 123 153 369 401 697 1203 1681 2091 3609 5043 6273 6817 15129 16441 20451 28577 49323 61353 85731 147969 257193 279497 674081 838491 2022243 2515473 6066729 11459377 34378131 103134393