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101231141 = 11217291697
BaseRepresentation
bin1100000100010…
…10101000100101
321001111002000112
412002022220211
5201403344031
614013422405
72336310344
oct602125045
9231432015
10101231141
1152162500
1229a9aa05
1317c84cab
14d631b5b
158d4962b
hex608aa25

101231141 has 24 divisors (see below), whose sum is σ = 121950360. Its totient is φ = 83578880.

The previous prime is 101231131. The next prime is 101231191. The reversal of 101231141 is 141132101.

It can be written as a sum of positive squares in 4 ways, for example, as 56942116 + 44289025 = 7546^2 + 6655^2 .

It is not a de Polignac number, because 101231141 - 26 = 101231077 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101231111) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 58805 + ... + 60501.

It is an arithmetic number, because the mean of its divisors is an integer number (5081265).

Almost surely, 2101231141 is an apocalyptic number.

101231141 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101231141 is a deficient number, since it is larger than the sum of its proper divisors (20719219).

101231141 is a wasteful number, since it uses less digits than its factorization.

101231141 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1765 (or 1754 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 14.

The square root of 101231141 is about 10061.3687438638. The cubic root of 101231141 is about 466.0559361714.

Adding to 101231141 its reverse (141132101), we get a palindrome (242363242).

The spelling of 101231141 in words is "one hundred one million, two hundred thirty-one thousand, one hundred forty-one".

Divisors: 1 11 17 29 121 187 319 493 1697 2057 3509 5423 18667 28849 49213 59653 205337 317339 541343 836621 3490729 5954773 9202831 101231141