Search a number
-
+
101683230 = 235112313397
BaseRepresentation
bin1100000111110…
…01000000011110
321002100001011120
412003321000132
5202012330410
614031231410
72343202365
oct603710036
9232301146
10101683230
1152441130
122a078566
13180b29bc
14d70c7dc
158dd8570
hex60f901e

101683230 has 64 divisors (see below), whose sum is σ = 277820928. Its totient is φ = 23576960.

The previous prime is 101683189. The next prime is 101683247. The reversal of 101683230 is 32386101.

It is a self number, because there is not a number n which added to its sum of digits gives 101683230.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 892 + ... + 14288.

It is an arithmetic number, because the mean of its divisors is an integer number (4340952).

Almost surely, 2101683230 is an apocalyptic number.

101683230 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 101683230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138910464).

101683230 is an abundant number, since it is smaller than the sum of its proper divisors (176137698).

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

101683230 is a wasteful number, since it uses less digits than its factorization.

101683230 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13441.

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 101683230 is about 10083.8102917498. The cubic root of 101683230 is about 466.7486936310.

The spelling of 101683230 in words is "one hundred one million, six hundred eighty-three thousand, two hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 22 23 30 33 46 55 66 69 110 115 138 165 230 253 330 345 506 690 759 1265 1518 2530 3795 7590 13397 26794 40191 66985 80382 133970 147367 200955 294734 308131 401910 442101 616262 736835 884202 924393 1473670 1540655 1848786 2210505 3081310 3389441 4421010 4621965 6778882 9243930 10168323 16947205 20336646 33894410 50841615 101683230