Search a number
-
+
106314811935 = 3559120129731
BaseRepresentation
bin110001100000011011…
…0110100101000011111
3101011102021002000201020
41203000312310220133
53220213042440220
6120501303215223
710452402663633
oct1430066645037
9334367060636
10106314811935
11410a6a37842
1218730747513
13a043b91157
1452079badc3
152b7380a040
hex18c0db4a1f

106314811935 has 16 divisors (see below), whose sum is σ = 172986814080. Its totient is φ = 55740194720.

The previous prime is 106314811931. The next prime is 106314811937. The reversal of 106314811935 is 539118413601.

It is not a de Polignac number, because 106314811935 - 22 = 106314811931 is a prime.

It is a super-2 number, since 2×1063148119352 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106314811931) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 60063981 + ... + 60065750.

It is an arithmetic number, because the mean of its divisors is an integer number (10811675880).

Almost surely, 2106314811935 is an apocalyptic number.

106314811935 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

106314811935 is a deficient number, since it is larger than the sum of its proper divisors (66672002145).

106314811935 is a wasteful number, since it uses less digits than its factorization.

106314811935 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120129798.

The product of its (nonzero) digits is 77760, while the sum is 42.

The spelling of 106314811935 in words is "one hundred six billion, three hundred fourteen million, eight hundred eleven thousand, nine hundred thirty-five".

Divisors: 1 3 5 15 59 177 295 885 120129731 360389193 600648655 1801945965 7087654129 21262962387 35438270645 106314811935