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103313132241 = 31117184158881
BaseRepresentation
bin110000000110111110…
…0010100101011010001
3100212200001212220021020
41200031330110223101
53143041130212431
6115243354550053
710315124064114
oct1401574245321
9325601786236
10103313132241
113a8a662a420
1218033438329
13998603c217
14500109857b
152a4a033696
hex180df14ad1

103313132241 has 16 divisors (see below), whose sum is σ = 159113274048. Its totient is φ = 58930841600.

The previous prime is 103313132231. The next prime is 103313132261. The reversal of 103313132241 is 142231313301.

It is a cyclic number.

It is not a de Polignac number, because 103313132241 - 225 = 103279577809 is a prime.

It is not an unprimeable number, because it can be changed into a prime (103313132231) 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 15 ways as a sum of consecutive naturals, for example, 92078880 + ... + 92080001.

It is an arithmetic number, because the mean of its divisors is an integer number (9944579628).

Almost surely, 2103313132241 is an apocalyptic number.

103313132241 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

103313132241 is a deficient number, since it is larger than the sum of its proper divisors (55800141807).

103313132241 is a wasteful number, since it uses less digits than its factorization.

103313132241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184158912.

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 103313132241 its reverse (142231313301), we get a palindrome (245544445542).

The spelling of 103313132241 in words is "one hundred three billion, three hundred thirteen million, one hundred thirty-two thousand, two hundred forty-one".

Divisors: 1 3 11 17 33 51 187 561 184158881 552476643 2025747691 3130700977 6077243073 9392102931 34437710747 103313132241