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102135213 = 3211348357
BaseRepresentation
bin1100001011001…
…11010110101101
321010012000011200
412011213112231
5202121311323
614045040113
72350064205
oct605472655
9233160150
10102135213
115271a774
122a256039
131821064b
14d7c9405
158e77443
hex61675ad

102135213 has 6 divisors (see below), whose sum is σ = 147528654. Its totient is φ = 68090136.

The previous prime is 102135193. The next prime is 102135217. The reversal of 102135213 is 312531201.

It can be written as a sum of positive squares in only one way, i.e., 90212004 + 11923209 = 9498^2 + 3453^2 .

It is not a de Polignac number, because 102135213 - 29 = 102134701 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102135217) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5674170 + ... + 5674187.

It is an arithmetic number, because the mean of its divisors is an integer number (24588109).

Almost surely, 2102135213 is an apocalyptic number.

It is an amenable number.

102135213 is a deficient number, since it is larger than the sum of its proper divisors (45393441).

102135213 is a wasteful number, since it uses less digits than its factorization.

102135213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11348363 (or 11348360 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 102135213 is about 10106.1967623830. The cubic root of 102135213 is about 467.4392390553.

Adding to 102135213 its reverse (312531201), we get a palindrome (414666414).

The spelling of 102135213 in words is "one hundred two million, one hundred thirty-five thousand, two hundred thirteen".

Divisors: 1 3 9 11348357 34045071 102135213