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10247117143 = 294717343457
BaseRepresentation
bin10011000101100011…
…01001100101010111
3222110010202111010011
421202301221211113
5131441230222033
64412451141051
7511635026044
oct114261514527
928403674104
1010247117143
11438925985a
121b9b8a4787
13c73c60933
146d2ccc1cb
153ee922ccd
hex262c69957

10247117143 has 16 divisors (see below), whose sum is σ = 10888836480. Its totient is φ = 9627068416.

The previous prime is 10247117119. The next prime is 10247117171. The reversal of 10247117143 is 34171174201.

10247117143 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10247117143 is a prime.

It is a super-3 number, since 3×102471171433 (a number of 31 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10247117173) 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, 214071 + ... + 257527.

It is an arithmetic number, because the mean of its divisors is an integer number (680552280).

Almost surely, 210247117143 is an apocalyptic number.

10247117143 is a deficient number, since it is larger than the sum of its proper divisors (641719337).

10247117143 is a wasteful number, since it uses less digits than its factorization.

10247117143 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43706.

The product of its (nonzero) digits is 4704, while the sum is 31.

The spelling of 10247117143 in words is "ten billion, two hundred forty-seven million, one hundred seventeen thousand, one hundred forty-three".

Divisors: 1 29 47 173 1363 5017 8131 43457 235799 1260253 2042479 7518061 59231891 218023769 353348867 10247117143