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102414301 = 1110787013
BaseRepresentation
bin1100001101010…
…11011111011101
321010201012000021
412012223133131
5202204224201
614055032141
72352335653
oct606533735
9233635007
10102414301
11528a0420
122a36b651
13182aa6a2
14d85cdd3
158eceea1
hex61ab7dd

102414301 has 8 divisors (see below), whose sum is σ = 112770144. Its totient is φ = 92232720.

The previous prime is 102414293. The next prime is 102414337. The reversal of 102414301 is 103414201.

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 102414301 - 23 = 102414293 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 (102414371) 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 7 ways as a sum of consecutive naturals, for example, 42330 + ... + 44683.

It is an arithmetic number, because the mean of its divisors is an integer number (14096268).

Almost surely, 2102414301 is an apocalyptic number.

102414301 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

102414301 is a deficient number, since it is larger than the sum of its proper divisors (10355843).

102414301 is a wasteful number, since it uses less digits than its factorization.

102414301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87131.

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 102414301 is about 10119.9951086945. The cubic root of 102414301 is about 467.8646164636.

Adding to 102414301 its reverse (103414201), we get a palindrome (205828502).

The spelling of 102414301 in words is "one hundred two million, four hundred fourteen thousand, three hundred one".

Divisors: 1 11 107 1177 87013 957143 9310391 102414301