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11300242125 = 353172377069
BaseRepresentation
bin10101000011000110…
…00000001011001101
31002011112101210000010
422201203000023031
5141120330222000
65105151223433
7550013321214
oct124143001315
932145353003
1011300242125
114879768187
122234517b79
1310b11ab703
14792b0807b
154620e9d50
hex2a18c02cd

11300242125 has 64 divisors (see below), whose sum is σ = 20775605760. Its totient is φ = 5425587200.

The previous prime is 11300242111. The next prime is 11300242133. The reversal of 11300242125 is 52124200311.

It is not a de Polignac number, because 11300242125 - 210 = 11300241101 is a prime.

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 108091 + ... + 185159.

It is an arithmetic number, because the mean of its divisors is an integer number (324618840).

Almost surely, 211300242125 is an apocalyptic number.

11300242125 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

11300242125 is a deficient number, since it is larger than the sum of its proper divisors (9475363635).

11300242125 is a wasteful number, since it uses less digits than its factorization.

11300242125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77127 (or 77117 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

Adding to 11300242125 its reverse (52124200311), we get a palindrome (63424442436).

The spelling of 11300242125 in words is "eleven billion, three hundred million, two hundred forty-two thousand, one hundred twenty-five".

Divisors: 1 3 5 15 17 23 25 51 69 75 85 115 125 255 345 375 391 425 575 1173 1275 1725 1955 2125 2875 5865 6375 8625 9775 29325 48875 77069 146625 231207 385345 1156035 1310173 1772587 1926725 3930519 5317761 5780175 6550865 8862935 9633625 19652595 26588805 28900875 30133979 32754325 44314675 90401937 98262975 132944025 150669895 163771625 221573375 452009685 491314875 664720125 753349475 2260048425 3766747375 11300242125