Search a number
-
+
101865384687 = 311231071976367
BaseRepresentation
bin101111011011110100…
…1100110101011101111
3100201221011200200222110
41132313221212223233
53132110014302222
6114444000415103
710234214324553
oct1366751465357
9321834620873
10101865384687
113a223399240
12178aa617493
1397b5113671
144d04ab7863
1529b2dab30c
hex17b7a66aef

101865384687 has 64 divisors (see below), whose sum is σ = 156871655424. Its totient is φ = 58194407040.

The previous prime is 101865384631. The next prime is 101865384689. The reversal of 101865384687 is 786483568101.

It is a happy number.

It is not a de Polignac number, because 101865384687 - 28 = 101865384431 is a prime.

It is a super-4 number, since 4×1018653846874 (a number of 45 digits) contains 4444 as substring.

It is a Smith number, since the sum of its digits (57) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101865384689) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 15995778 + ... + 16002144.

It is an arithmetic number, because the mean of its divisors is an integer number (2451119616).

Almost surely, 2101865384687 is an apocalyptic number.

101865384687 is a deficient number, since it is larger than the sum of its proper divisors (55006270737).

101865384687 is a wasteful number, since it uses less digits than its factorization.

101865384687 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6708.

The product of its (nonzero) digits is 7741440, while the sum is 57.

The spelling of 101865384687 in words is "one hundred one billion, eight hundred sixty-five million, three hundred eighty-four thousand, six hundred eighty-seven".

Divisors: 1 3 11 23 33 69 107 197 253 321 591 759 1177 2167 2461 3531 4531 6367 6501 7383 13593 19101 21079 27071 49841 63237 70037 81213 146441 149523 210111 231869 439323 484817 681269 695607 1254299 1454451 1610851 2043807 3762897 4832553 5332987 7493959 13797289 15669187 15998961 22481877 28848877 41391867 47007561 86546631 134209993 172361057 317337647 402629979 517083171 952012941 1476309923 3086829839 4428929769 9260489517 33955128229 101865384687