Search a number
-
+
101130300 = 223252313359
BaseRepresentation
bin1100000011100…
…10000000111100
321001021221200200
412001302000330
5201342132200
614011323500
72335410345
oct601620074
9231257620
10101130300
11520a3767
1229a50590
1317c4b11b
14d6070cc
158d29800
hex607203c

101130300 has 108 divisors (see below), whose sum is σ = 318885840. Its totient is φ = 26807040.

The previous prime is 101130299. The next prime is 101130317. The reversal of 101130300 is 3031101.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 281521 + ... + 281879.

Almost surely, 2101130300 is an apocalyptic number.

101130300 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 101130300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159442920).

101130300 is an abundant number, since it is smaller than the sum of its proper divisors (217755540).

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

101130300 is a wasteful number, since it uses less digits than its factorization.

101130300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 692 (or 682 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 9.

The square root of 101130300 is about 10056.3561989420. The cubic root of 101130300 is about 465.9011314992.

Adding to 101130300 its reverse (3031101), we get a palindrome (104161401).

The spelling of 101130300 in words is "one hundred one million, one hundred thirty thousand, three hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 150 180 225 300 313 359 450 626 718 900 939 1077 1252 1436 1565 1795 1878 2154 2817 3130 3231 3590 3756 4308 4695 5385 5634 6260 6462 7180 7825 8975 9390 10770 11268 12924 14085 15650 16155 17950 18780 21540 23475 26925 28170 31300 32310 35900 46950 53850 56340 64620 70425 80775 93900 107700 112367 140850 161550 224734 281700 323100 337101 449468 561835 674202 1011303 1123670 1348404 1685505 2022606 2247340 2809175 3371010 4045212 5056515 5618350 6742020 8427525 10113030 11236700 16855050 20226060 25282575 33710100 50565150 101130300