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106147287297 = 342714835647
BaseRepresentation
bin110001011011011011…
…1110001000100000001
3101010222120211220010000
41202312313301010001
53214342201143142
6120432520430213
710445300024622
oct1426667610401
9333876756100
10106147287297
1141020416027
12186a4618369
13a01826774c
1451cd64da49
152b63c6814c
hex18b6df1101

106147287297 has 20 divisors (see below), whose sum is σ = 159150846976. Its totient is φ = 70503718680.

The previous prime is 106147287277. The next prime is 106147287313. The reversal of 106147287297 is 792782741601.

106147287297 is a `hidden beast` number, since 1 + 0 + 6 + 1 + 472 + 87 + 2 + 97 = 666.

It is not a de Polignac number, because 106147287297 - 28 = 106147287041 is a prime.

It is a super-2 number, since 2×1061472872972 (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 (106147287277) 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 19 ways as a sum of consecutive naturals, for example, 2395873 + ... + 2439774.

Almost surely, 2106147287297 is an apocalyptic number.

It is an amenable number.

106147287297 is a deficient number, since it is larger than the sum of its proper divisors (53003559679).

106147287297 is an equidigital number, since it uses as much as digits as its factorization.

106147287297 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4835930 (or 4835921 counting only the distinct ones).

The product of its (nonzero) digits is 2370816, while the sum is 54.

The spelling of 106147287297 in words is "one hundred six billion, one hundred forty-seven million, two hundred eighty-seven thousand, two hundred ninety-seven".

Divisors: 1 3 9 27 81 271 813 2439 7317 21951 4835647 14506941 43520823 130562469 391687407 1310460337 3931381011 11794143033 35382429099 106147287297