Search a number
-
+
101081420 = 225112631747
BaseRepresentation
bin1100000011001…
…10000101001100
321001012110122022
412001212011030
5201334101140
614010305312
72335115006
oct601460514
9231173568
10101081420
115206aa70
1229a28238
1317c31abb
14d5d3376
158d1a0b5
hex606614c

101081420 has 48 divisors (see below), whose sum is σ = 232581888. Its totient is φ = 36596160.

The previous prime is 101081417. The next prime is 101081429. The reversal of 101081420 is 24180101.

It is not an unprimeable number, because it can be changed into a prime (101081429) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 56987 + ... + 58733.

It is an arithmetic number, because the mean of its divisors is an integer number (4845456).

Almost surely, 2101081420 is an apocalyptic number.

101081420 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 101081420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116290944).

101081420 is an abundant number, since it is smaller than the sum of its proper divisors (131500468).

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

101081420 is a wasteful number, since it uses less digits than its factorization.

101081420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2030 (or 2028 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

The square root of 101081420 is about 10053.9256014753. The cubic root of 101081420 is about 465.8260570084.

The spelling of 101081420 in words is "one hundred one million, eighty-one thousand, four hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 263 526 1052 1315 1747 2630 2893 3494 5260 5786 6988 8735 11572 14465 17470 19217 28930 34940 38434 57860 76868 96085 192170 384340 459461 918922 1837844 2297305 4594610 5054071 9189220 10108142 20216284 25270355 50540710 101081420