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102406213 = 7131125343
BaseRepresentation
bin1100001101010…
…01100001000101
321010200202220201
412012221201011
5202203444323
614054530501
72352303250
oct606514105
9233622821
10102406213
1152895338
122a366a31
13182a6ac0
14d85a097
158ecc8ad
hex61a9845

102406213 has 8 divisors (see below), whose sum is σ = 126038528. Its totient is φ = 81024624.

The previous prime is 102406141. The next prime is 102406247. The reversal of 102406213 is 312604201.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 102406213 - 29 = 102405701 is a prime.

It is a super-2 number, since 2×1024062132 = 20974064922002738, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102406253) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 562581 + ... + 562762.

It is an arithmetic number, because the mean of its divisors is an integer number (15754816).

Almost surely, 2102406213 is an apocalyptic number.

102406213 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

102406213 is a deficient number, since it is larger than the sum of its proper divisors (23632315).

102406213 is a wasteful number, since it uses less digits than its factorization.

102406213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1125363.

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 102406213 is about 10119.5954958684. The cubic root of 102406213 is about 467.8522998614.

The spelling of 102406213 in words is "one hundred two million, four hundred six thousand, two hundred thirteen".

Divisors: 1 7 13 91 1125343 7877401 14629459 102406213