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106901833337 = 1325731996957
BaseRepresentation
bin110001110001111011…
…0001000011001111001
3101012221011122210200122
41203203312020121321
53222413332131322
6121035433143025
710503061406405
oct1434366103171
9335834583618
10106901833337
11413783306a2
121887525aa75
13a1086944b0
145261946105
152baa112442
hex18e3d88679

106901833337 has 8 divisors (see below), whose sum is σ = 115573012296. Its totient is φ = 98294648832.

The previous prime is 106901833307. The next prime is 106901833351. The reversal of 106901833337 is 733338109601.

It can be written as a sum of positive squares in 4 ways, for example, as 64566301801 + 42335531536 = 254099^2 + 205756^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 106901833337 - 28 = 106901833081 is a prime.

It is a super-2 number, since 2×1069018333372 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (106901833307) 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 7 ways as a sum of consecutive naturals, for example, 15995138 + ... + 16001819.

It is an arithmetic number, because the mean of its divisors is an integer number (14446626537).

Almost surely, 2106901833337 is an apocalyptic number.

It is an amenable number.

106901833337 is a deficient number, since it is larger than the sum of its proper divisors (8671178959).

106901833337 is a wasteful number, since it uses less digits than its factorization.

106901833337 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31997227.

The product of its (nonzero) digits is 244944, while the sum is 44.

The spelling of 106901833337 in words is "one hundred six billion, nine hundred one million, eight hundred thirty-three thousand, three hundred thirty-seven".

Divisors: 1 13 257 3341 31996957 415960441 8223217949 106901833337