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101055361 = 11172512153
BaseRepresentation
bin1100000010111…
…11101110000001
321001011010220011
412001133232001
5201332232421
614005544521
72334646021
oct601375601
9231133804
10101055361
1152052430
1229a15141
1317c22c94
14d5c7a81
158d124e1
hex605fb81

101055361 has 16 divisors (see below), whose sum is σ = 117246528. Its totient is φ = 86080000.

The previous prime is 101055359. The next prime is 101055371. The reversal of 101055361 is 163550101.

It is a cyclic number.

It is not a de Polignac number, because 101055361 - 21 = 101055359 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101055301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 45861 + ... + 48013.

It is an arithmetic number, because the mean of its divisors is an integer number (7327908).

Almost surely, 2101055361 is an apocalyptic number.

101055361 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101055361 is a deficient number, since it is larger than the sum of its proper divisors (16191167).

101055361 is a wasteful number, since it uses less digits than its factorization.

101055361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2432.

The product of its (nonzero) digits is 450, while the sum is 22.

The square root of 101055361 is about 10052.6295564892. The cubic root of 101055361 is about 465.7860232596.

The spelling of 101055361 in words is "one hundred one million, fifty-five thousand, three hundred sixty-one".

Divisors: 1 11 17 187 251 2153 2761 4267 23683 36601 46937 402611 540403 5944433 9186851 101055361