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101231060 = 22572531949
BaseRepresentation
bin1100000100010…
…10100111010100
321001111001220112
412002022213110
5201403343220
614013422152
72336310200
oct602124724
9231431815
10101231060
1152162437
1229a9a958
1317c84c48
14d631b00
158d495c5
hex608a9d4

101231060 has 72 divisors (see below), whose sum is σ = 252088200. Its totient is φ = 34035456.

The previous prime is 101231057. The next prime is 101231077. The reversal of 101231060 is 60132101.

It can be written as a sum of positive squares in 4 ways, for example, as 32307856 + 68923204 = 5684^2 + 8302^2 .

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 50966 + ... + 52914.

It is an arithmetic number, because the mean of its divisors is an integer number (3501225).

Almost surely, 2101231060 is an apocalyptic number.

101231060 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101231060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126044100).

101231060 is an abundant number, since it is smaller than the sum of its proper divisors (150857140).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

101231060 is a wasteful number, since it uses less digits than its factorization.

101231060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2025 (or 2016 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

The square root of 101231060 is about 10061.3647185658. The cubic root of 101231060 is about 466.0558118666.

Adding to 101231060 its reverse (60132101), we get a palindrome (161363161).

The spelling of 101231060 in words is "one hundred one million, two hundred thirty-one thousand, sixty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 53 70 98 106 140 196 212 245 265 371 490 530 742 980 1060 1484 1855 1949 2597 3710 3898 5194 7420 7796 9745 10388 12985 13643 19490 25970 27286 38980 51940 54572 68215 95501 103297 136430 191002 206594 272860 382004 413188 477505 516485 723079 955010 1032970 1446158 1910020 2065940 2892316 3615395 5061553 7230790 10123106 14461580 20246212 25307765 50615530 101231060