Search a number
-
+
106915474197 = 32721714261101
BaseRepresentation
bin110001110010010101…
…0001010101100010101
3101012222010022211102200
41203210222022230111
53222430330133242
6121041041355113
710503315351600
oct1434452125425
9335863284380
10106915474197
1141384aa8234
1218879938a99
13a10b45c2cc
145263697337
152bab40904c
hex18e4a8ab15

106915474197 has 36 divisors (see below), whose sum is σ = 190214578476. Its totient is φ = 57500755200.

The previous prime is 106915474109. The next prime is 106915474219. The reversal of 106915474197 is 791474519601.

It is a happy number.

106915474197 is a `hidden beast` number, since 1 + 0 + 6 + 9 + 1 + 547 + 4 + 1 + 97 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 73911121956 + 33004352241 = 271866^2 + 181671^2 .

It is not a de Polignac number, because 106915474197 - 211 = 106915472149 is a prime.

It is a super-2 number, since 2×1069154741972 (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 (106915474597) 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 35 ways as a sum of consecutive naturals, for example, 7123054 + ... + 7138047.

It is an arithmetic number, because the mean of its divisors is an integer number (5283738291).

Almost surely, 2106915474197 is an apocalyptic number.

106915474197 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

106915474197 is a deficient number, since it is larger than the sum of its proper divisors (83299104279).

106915474197 is a wasteful number, since it uses less digits than its factorization.

106915474197 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14261138 (or 14261128 counting only the distinct ones).

The product of its (nonzero) digits is 1905120, while the sum is 54.

The spelling of 106915474197 in words is "one hundred six billion, nine hundred fifteen million, four hundred seventy-four thousand, one hundred ninety-seven".

Divisors: 1 3 7 9 17 21 49 51 63 119 147 153 357 441 833 1071 2499 7497 14261101 42783303 99827707 128349909 242438717 299483121 698793949 727316151 898449363 1697071019 2096381847 2181948453 5091213057 6289145541 11879497133 15273639171 35638491399 106915474197