Search a number
-
+
107016113127 = 37112109386383
BaseRepresentation
bin110001110101010101…
…0000100101111100111
3101020020010200211002110
41203222222010233213
53223132111110002
6121055034412103
710505646644550
oct1435252045747
9336203624073
10107016113127
1141426895800
12188a7591033
13a126267881
145272bb3327
152bb5187e6c
hex18eaa84be7

107016113127 has 48 divisors (see below), whose sum is σ = 180889533440. Its totient is φ = 55082617920.

The previous prime is 107016113123. The next prime is 107016113153. The reversal of 107016113127 is 721311610701.

It is not a de Polignac number, because 107016113127 - 22 = 107016113123 is a prime.

It is a super-2 number, since 2×1070161131272 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 107016113094 and 107016113103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107016113123) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 83778 + ... + 470160.

Almost surely, 2107016113127 is an apocalyptic number.

107016113127 is a deficient number, since it is larger than the sum of its proper divisors (73873420313).

107016113127 is a wasteful number, since it uses less digits than its factorization.

107016113127 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 386524 (or 386513 counting only the distinct ones).

The product of its (nonzero) digits is 1764, while the sum is 30.

Adding to 107016113127 its reverse (721311610701), we get a palindrome (828327723828).

The spelling of 107016113127 in words is "one hundred seven billion, sixteen million, one hundred thirteen thousand, one hundred twenty-seven".

Divisors: 1 3 7 11 21 33 77 109 121 231 327 363 763 847 1199 2289 2541 3597 8393 13189 25179 39567 92323 276969 386383 1159149 2704681 4250213 8114043 12750639 29751491 42115747 46752343 89254473 126347241 140257029 294810229 327266401 463273217 884430687 981799203 1389819651 3242912519 5096005387 9728737557 15288016161 35672037709 107016113127