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102205741 = 1157716103
BaseRepresentation
bin1100001011110…
…00100100101101
321010022120220211
412011320210231
5202131040431
614050342421
72350506631
oct605704455
9233276824
10102205741
1152768760
122a28aa11
1318236791
14d806dc1
158e8d2b1
hex617892d

102205741 has 8 divisors (see below), whose sum is σ = 111697344. Its totient is φ = 92747520.

The previous prime is 102205739. The next prime is 102205757. The reversal of 102205741 is 147502201.

It is a happy number.

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 102205741 - 21 = 102205739 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102205771) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1705 + ... + 14398.

It is an arithmetic number, because the mean of its divisors is an integer number (13962168).

Almost surely, 2102205741 is an apocalyptic number.

102205741 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

102205741 is a deficient number, since it is larger than the sum of its proper divisors (9491603).

102205741 is a wasteful number, since it uses less digits than its factorization.

102205741 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16691.

The product of its (nonzero) digits is 560, while the sum is 22.

The square root of 102205741 is about 10109.6855045051. The cubic root of 102205741 is about 467.5468087764.

Adding to 102205741 its reverse (147502201), we get a palindrome (249707942).

The spelling of 102205741 in words is "one hundred two million, two hundred five thousand, seven hundred forty-one".

Divisors: 1 11 577 6347 16103 177133 9291431 102205741