Search a number
-
+
2301041300 = 225259675821
BaseRepresentation
bin1000100100100111…
…0001101010010100
312221100211000020212
42021021301222110
514203031310200
61020155144552
7111010346135
oct21111615224
95840730225
102301041300
11a80972428
12542745158
132a894b0cc
1417b85dc8c
15d702a035
hex89271a94

2301041300 has 72 divisors (see below), whose sum is σ = 5154565920. Its totient is φ = 891158400.

The previous prime is 2301041231. The next prime is 2301041311. The reversal of 2301041300 is 31401032.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 392390 + ... + 398210.

Almost surely, 22301041300 is an apocalyptic number.

2301041300 is a gapful number since it is divisible by the number (20) 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 2301041300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2577282960).

2301041300 is an abundant number, since it is smaller than the sum of its proper divisors (2853524620).

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

2301041300 is a wasteful number, since it uses less digits than its factorization.

2301041300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5961 (or 5954 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 2301041300 is about 47969.1703076049. The cubic root of 2301041300 is about 1320.2052978819.

Adding to 2301041300 its reverse (31401032), we get a palindrome (2332442332).

The spelling of 2301041300 in words is "two billion, three hundred one million, forty-one thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 59 67 100 118 134 236 268 295 335 590 670 1180 1340 1475 1675 2950 3350 3953 5821 5900 6700 7906 11642 15812 19765 23284 29105 39530 58210 79060 98825 116420 145525 197650 291050 343439 390007 395300 582100 686878 780014 1373756 1560028 1717195 1950035 3434390 3900070 6868780 7800140 8585975 9750175 17171950 19500350 23010413 34343900 39000700 46020826 92041652 115052065 230104130 460208260 575260325 1150520650 2301041300