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101036089 = 7211217041
BaseRepresentation
bin1100000010110…
…11000000111001
321001010011110101
412001123000321
5201331123324
614005315401
72334535600
oct601330071
9231104411
10101036089
1152039a00
1229a05b61
1317c1728b
14d5c0a37
158d0b944
hex605b039

101036089 has 18 divisors (see below), whose sum is σ = 129195402. Its totient is φ = 78724800.

The previous prime is 101036077. The next prime is 101036113. The reversal of 101036089 is 980630101.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 98664489 + 2371600 = 9933^2 + 1540^2 .

It is not a de Polignac number, because 101036089 - 211 = 101034041 is a prime.

It is not an unprimeable number, because it can be changed into a prime (101036059) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 2592 + ... + 14449.

Almost surely, 2101036089 is an apocalyptic number.

It is an amenable number.

101036089 is a deficient number, since it is larger than the sum of its proper divisors (28159313).

101036089 is a wasteful number, since it uses less digits than its factorization.

101036089 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17077 (or 17059 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 28.

The square root of 101036089 is about 10051.6709556173. The cubic root of 101036089 is about 465.7564117713.

The spelling of 101036089 in words is "one hundred one million, thirty-six thousand, eighty-nine".

Divisors: 1 7 11 49 77 121 539 847 5929 17041 119287 187451 835009 1312157 2061961 9185099 14433727 101036089