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10400112041 = 111439657029
BaseRepresentation
bin10011010111110010…
…10001110110101001
3222211210122102122212
421223321101312221
5132244412041131
64435554254505
7515503331234
oct115371216651
928753572585
1010400112041
114457657120
122022b87435
13c9986aa67
1470935641b
1540d094a2b
hex26be51da9

10400112041 has 8 divisors (see below), whose sum is σ = 11353478400. Its totient is φ = 9448062640.

The previous prime is 10400112011. The next prime is 10400112067. The reversal of 10400112041 is 14021100401.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10400112041 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10400112011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 312686 + ... + 344343.

It is an arithmetic number, because the mean of its divisors is an integer number (1419184800).

Almost surely, 210400112041 is an apocalyptic number.

10400112041 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10400112041 is a deficient number, since it is larger than the sum of its proper divisors (953366359).

10400112041 is a wasteful number, since it uses less digits than its factorization.

10400112041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 658479.

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 10400112041 its reverse (14021100401), we get a palindrome (24421212442).

The spelling of 10400112041 in words is "ten billion, four hundred million, one hundred twelve thousand, forty-one".

Divisors: 1 11 1439 15829 657029 7227319 945464731 10400112041