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11401731341 = 7111311390341
BaseRepresentation
bin10101001111001100…
…01001110100001101
31002102121100222000222
422213212021310031
5141322320400331
65123214401125
7552355055150
oct124746116415
932377328028
1011401731341
114920a86570
1222625001a5
1310c9223cc0
147a23a5c97
1546ae95b7b
hex2a7989d0d

11401731341 has 16 divisors (see below), whose sum is σ = 15308619648. Its totient is φ = 8201044800.

The previous prime is 11401731311. The next prime is 11401731347. The reversal of 11401731341 is 14313710411.

11401731341 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a de Polignac number, because none of the positive numbers 2k-11401731341 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 11401731341.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11401731347) 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, 5694170 + ... + 5696171.

It is an arithmetic number, because the mean of its divisors is an integer number (956788728).

Almost surely, 211401731341 is an apocalyptic number.

11401731341 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

11401731341 is a deficient number, since it is larger than the sum of its proper divisors (3906888307).

11401731341 is a wasteful number, since it uses less digits than its factorization.

11401731341 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11390372.

The product of its (nonzero) digits is 1008, while the sum is 26.

The spelling of 11401731341 in words is "eleven billion, four hundred one million, seven hundred thirty-one thousand, three hundred forty-one".

Divisors: 1 7 11 13 77 91 143 1001 11390341 79732387 125293751 148074433 877056257 1036521031 1628818763 11401731341