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106301476197 = 3372572188489
BaseRepresentation
bin110001100000000001…
…1111100110101100101
3101011101022222111112000
41203000003330311211
53220201134214242
6120500105315513
710452151432140
oct1430003746545
9334338874460
10106301476197
114109a459474
1218728195b99
13a0411a2197
145205d09057
152b72573a4c
hex18c00fcd65

106301476197 has 32 divisors (see below), whose sum is σ = 180681734400. Its totient is φ = 60507316224.

The previous prime is 106301476181. The next prime is 106301476217. The reversal of 106301476197 is 791674103601.

106301476197 is a `hidden beast` number, since 1 + 0 + 630 + 1 + 4 + 7 + 6 + 1 + 9 + 7 = 666.

It is not a de Polignac number, because 106301476197 - 24 = 106301476181 is a prime.

It is a super-2 number, since 2×1063014761972 (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 (106301476997) 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 31 ways as a sum of consecutive naturals, for example, 1045672 + ... + 1142817.

It is an arithmetic number, because the mean of its divisors is an integer number (5646304200).

Almost surely, 2106301476197 is an apocalyptic number.

It is an amenable number.

106301476197 is a deficient number, since it is larger than the sum of its proper divisors (74380258203).

106301476197 is a wasteful number, since it uses less digits than its factorization.

106301476197 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2188762 (or 2188756 counting only the distinct ones).

The product of its (nonzero) digits is 190512, while the sum is 45.

Adding to 106301476197 its reverse (791674103601), we get a palindrome (897975579798).

The spelling of 106301476197 in words is "one hundred six billion, three hundred one million, four hundred seventy-six thousand, one hundred ninety-seven".

Divisors: 1 3 7 9 21 27 63 189 257 771 1799 2313 5397 6939 16191 48573 2188489 6565467 15319423 19696401 45958269 59089203 137874807 413624421 562441673 1687325019 3937091711 5061975057 11811275133 15185925171 35433825399 106301476197