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101543431 = 11171912843
BaseRepresentation
bin1100000110101…
…10111000000111
321002001221101211
412003112320013
5201443342211
614024232251
72342050663
oct603267007
9232057354
10101543431
11523560a0
122a00b687
1318064192
14d6b38a3
158dabe21
hex60d6e07

101543431 has 16 divisors (see below), whose sum is σ = 117946368. Its totient is φ = 86396800.

The previous prime is 101543417. The next prime is 101543437. The reversal of 101543431 is 134345101.

It is a cyclic number.

It is not a de Polignac number, because 101543431 - 27 = 101543303 is a prime.

It is a super-2 number, since 2×1015434312 = 20622136758503522, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101543437) 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, 34296 + ... + 37138.

It is an arithmetic number, because the mean of its divisors is an integer number (7371648).

Almost surely, 2101543431 is an apocalyptic number.

101543431 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

101543431 is a deficient number, since it is larger than the sum of its proper divisors (16402937).

101543431 is a wasteful number, since it uses less digits than its factorization.

101543431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3062.

The product of its (nonzero) digits is 720, while the sum is 22.

The square root of 101543431 is about 10076.8760536190. The cubic root of 101543431 is about 466.5346926697.

Adding to 101543431 its reverse (134345101), we get a palindrome (235888532).

The spelling of 101543431 in words is "one hundred one million, five hundred forty-three thousand, four hundred thirty-one".

Divisors: 1 11 17 187 191 2101 2843 3247 31273 35717 48331 531641 543013 5973143 9231221 101543431