Search a number
-
+
101213060 = 225131932017
BaseRepresentation
bin1100000100001…
…10001110000100
321001110011012212
412002012032010
5201402304220
614013202552
72336203544
oct602061604
9231404185
10101213060
115214a963
1229a90458
1317c799b0
14d629324
158d440c5
hex6086384

101213060 has 48 divisors (see below), whose sum is σ = 230197296. Its totient is φ = 37158912.

The previous prime is 101213059. The next prime is 101213071. The reversal of 101213060 is 60312101.

It can be written as a sum of positive squares in 8 ways, for example, as 4426816 + 96786244 = 2104^2 + 9838^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 49172 + ... + 51188.

It is an arithmetic number, because the mean of its divisors is an integer number (4795777).

Almost surely, 2101213060 is an apocalyptic number.

101213060 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 101213060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115098648).

101213060 is an abundant number, since it is smaller than the sum of its proper divisors (128984236).

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

101213060 is a wasteful number, since it uses less digits than its factorization.

101213060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2232 (or 2230 counting only the distinct ones).

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

The square root of 101213060 is about 10060.4701679395. The cubic root of 101213060 is about 466.0281869397.

Adding to 101213060 its reverse (60312101), we get a palindrome (161525161).

The spelling of 101213060 in words is "one hundred one million, two hundred thirteen thousand, sixty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 193 260 386 772 965 1930 2017 2509 3860 4034 5018 8068 10036 10085 12545 20170 25090 26221 40340 50180 52442 104884 131105 262210 389281 524420 778562 1557124 1946405 3892810 5060653 7785620 10121306 20242612 25303265 50606530 101213060