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106828225191 = 333956600933
BaseRepresentation
bin110001101111101110…
…1010101101010100111
3101012202001011010022000
41203133131111222213
53222241011201231
6121024243340343
710501205634402
oct1433735255247
9335661133260
10106828225191
114133a825816
12188546816b3
13a0c636158c
145255c64d39
152ba39226e6
hex18df755aa7

106828225191 has 8 divisors (see below), whose sum is σ = 158264037360. Its totient is φ = 71218816776.

The previous prime is 106828225183. The next prime is 106828225253. The reversal of 106828225191 is 191522828601.

106828225191 is a `hidden beast` number, since 106 + 8 + 2 + 8 + 22 + 519 + 1 = 666.

It is not a de Polignac number, because 106828225191 - 23 = 106828225183 is a prime.

It is a super-2 number, since 2×1068282251912 (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 (106828225121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1978300440 + ... + 1978300493.

It is an arithmetic number, because the mean of its divisors is an integer number (19783004670).

Almost surely, 2106828225191 is an apocalyptic number.

106828225191 is a deficient number, since it is larger than the sum of its proper divisors (51435812169).

106828225191 is an equidigital number, since it uses as much as digits as its factorization.

106828225191 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3956600942 (or 3956600936 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 45.

The spelling of 106828225191 in words is "one hundred six billion, eight hundred twenty-eight million, two hundred twenty-five thousand, one hundred ninety-one".

Divisors: 1 3 9 27 3956600933 11869802799 35609408397 106828225191