Search a number
-
+
1014300100 = 2252111635657
BaseRepresentation
bin111100011101001…
…111110111000100
32121200120210011101
4330131033313010
54034130100400
6244351545444
734064260102
oct7435176704
92550523141
101014300100
11480600750
1224382b284
131321a6098
14989d0c72
155e0a856a
hex3c74fdc4

1014300100 has 72 divisors (see below), whose sum is σ = 2416282848. Its totient is φ = 366508800.

The previous prime is 1014300073. The next prime is 1014300103. The reversal of 1014300100 is 10034101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (1014300103) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 176472 + ... + 182128.

It is an arithmetic number, because the mean of its divisors is an integer number (33559484).

Almost surely, 21014300100 is an apocalyptic number.

1014300100 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 1014300100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1208141424).

1014300100 is an abundant number, since it is smaller than the sum of its proper divisors (1401982748).

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

1014300100 is a wasteful number, since it uses less digits than its factorization.

1014300100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5845 (or 5838 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

The square root of 1014300100 is about 31848.0784349700. The cubic root of 1014300100 is about 1004.7441573785.

Adding to 1014300100 its reverse (10034101), we get a palindrome (1024334201).

The spelling of 1014300100 in words is "one billion, fourteen million, three hundred thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 163 220 275 326 550 652 815 1100 1630 1793 3260 3586 4075 5657 7172 8150 8965 11314 16300 17930 22628 28285 35860 44825 56570 62227 89650 113140 124454 141425 179300 248908 282850 311135 565700 622270 922091 1244540 1555675 1844182 3111350 3688364 4610455 6222700 9220910 10143001 18441820 20286002 23052275 40572004 46104550 50715005 92209100 101430010 202860020 253575025 507150050 1014300100