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103135213 = 411132197
BaseRepresentation
bin1100010010110…
…11011111101101
321012001210220201
412021123133231
5202400311323
614122313501
72361430516
oct611333755
9235053821
10103135213
1153243015
122a658891
13184a086c
14d9a9a0d
1590c38ad
hex625b7ed

103135213 has 12 divisors (see below), whose sum is σ = 107135028. Its totient is φ = 99223040.

The previous prime is 103135189. The next prime is 103135229. The reversal of 103135213 is 312531301.

It can be written as a sum of positive squares in 6 ways, for example, as 34128964 + 69006249 = 5842^2 + 8307^2 .

It is a de Polignac number, because none of the positive numbers 2k-103135213 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103130213) 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 11 ways as a sum of consecutive naturals, for example, 523431 + ... + 523627.

It is an arithmetic number, because the mean of its divisors is an integer number (8927919).

Almost surely, 2103135213 is an apocalyptic number.

It is an amenable number.

103135213 is a deficient number, since it is larger than the sum of its proper divisors (3999815).

103135213 is an equidigital number, since it uses as much as digits as its factorization.

103135213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 464 (or 351 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 19.

The square root of 103135213 is about 10155.5508467045. The cubic root of 103135213 is about 468.9598439894.

Adding to 103135213 its reverse (312531301), we get a palindrome (415666514).

The spelling of 103135213 in words is "one hundred three million, one hundred thirty-five thousand, two hundred thirteen".

Divisors: 1 41 113 197 4633 8077 12769 22261 523529 912701 2515493 103135213