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106501207149 = 3236973320057
BaseRepresentation
bin110001100101111110…
…1110111010001101101
3101011220020210212212200
41203023331313101231
53221103302112044
6120532002252113
710460125216131
oct1431375672155
9334806725780
10106501207149
1141192178277
1218783057039
13a073693b8c
14522465b3c1
152b84d78369
hex18cbf7746d

106501207149 has 12 divisors (see below), whose sum is σ = 153839718396. Its totient is φ = 70998662592.

The previous prime is 106501207121. The next prime is 106501207199. The reversal of 106501207149 is 941702105601.

106501207149 is a `hidden beast` number, since 1 + 0 + 6 + 501 + 2 + 0 + 7 + 149 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 42732331524 + 63768875625 = 206718^2 + 252525^2 .

It is not a de Polignac number, because 106501207149 - 216 = 106501141613 is a prime.

It is a super-2 number, since 2×1065012071492 (a number of 23 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106501207199) 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 11 ways as a sum of consecutive naturals, for example, 172729 + ... + 492785.

It is an arithmetic number, because the mean of its divisors is an integer number (12819976533).

Almost surely, 2106501207149 is an apocalyptic number.

It is an amenable number.

106501207149 is a deficient number, since it is larger than the sum of its proper divisors (47338511247).

106501207149 is a wasteful number, since it uses less digits than its factorization.

106501207149 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 357036 (or 357033 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 36.

The spelling of 106501207149 in words is "one hundred six billion, five hundred one million, two hundred seven thousand, one hundred forty-nine".

Divisors: 1 3 9 36973 110919 320057 332757 960171 2880513 11833467461 35500402383 106501207149