Search a number
-
+
107163260163 = 32234333136373
BaseRepresentation
bin110001111001101101…
…1011001010100000011
3101020121101120122212200
41203303123121110003
53223432243311123
6121121412324243
710512414452631
oct1436333312403
9336541518780
10107163260163
11414a1959523
1218928913683
13a14a8a801b
145288558351
152bc3052143
hex18f36d9503

107163260163 has 48 divisors (see below), whose sum is σ = 165781634304. Its totient is φ = 66543301440.

The previous prime is 107163260161. The next prime is 107163260201. The reversal of 107163260163 is 361062361701.

107163260163 is a `hidden beast` number, since 1 + 0 + 7 + 1 + 632 + 6 + 0 + 16 + 3 = 666.

It is a Cunningham number, because it is equal to 3273582-1.

It is not a de Polignac number, because 107163260163 - 21 = 107163260161 is a prime.

It is a super-2 number, since 2×1071632601632 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (107163260161) 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 47 ways as a sum of consecutive naturals, for example, 2928045 + ... + 2964417.

It is an arithmetic number, because the mean of its divisors is an integer number (3453784048).

Almost surely, 2107163260163 is an apocalyptic number.

107163260163 is a deficient number, since it is larger than the sum of its proper divisors (58618374141).

107163260163 is a wasteful number, since it uses less digits than its factorization.

107163260163 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36776 (or 36773 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The spelling of 107163260163 in words is "one hundred seven billion, one hundred sixty-three million, two hundred sixty thousand, one hundred sixty-three".

Divisors: 1 3 9 23 43 69 129 207 331 387 989 993 2967 2979 7613 8901 14233 22839 36373 42699 68517 109119 128097 327357 327359 836579 982077 1564039 2509737 2946231 4692117 7529211 12039463 14076351 35972897 36118389 107918691 108355167 276907649 323756073 517696909 830722947 1553090727 2492168841 4659272181 11907028907 35721086721 107163260163