Search a number
-
+
2300232100000 = 2555191120431
BaseRepresentation
bin100001011110010000100…
…001000110100010100000
322010220022010111210001111
4201132100201012202200
5300141333404200000
64520413444513104
7325120616150662
oct41362041064240
98126263453044
102300232100000
1180758306526a
123119730ab794
13138bac4a9053
147d49076c532
153ec7ac36cba
hex217908468a0

2300232100000 has 144 divisors (see below), whose sum is σ = 5690047813632. Its totient is φ = 915268000000.

The previous prime is 2300232099989. The next prime is 2300232100003. The reversal of 2300232100000 is 12320032.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (2300232100003) 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, 19039785 + ... + 19160215.

It is an arithmetic number, because the mean of its divisors is an integer number (39514220928).

Almost surely, 22300232100000 is an apocalyptic number.

2300232100000 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 2300232100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2845023906816).

2300232100000 is an abundant number, since it is smaller than the sum of its proper divisors (3389815713632).

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

2300232100000 is an equidigital number, since it uses as much as digits as its factorization.

2300232100000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120657 (or 120629 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 13.

Adding to 2300232100000 its reverse (12320032), we get a palindrome (2300244420032).

The spelling of 2300232100000 in words is "two trillion, three hundred billion, two hundred thirty-two million, one hundred thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 191 200 250 382 400 500 625 764 800 955 1000 1250 1528 1910 2000 2500 3056 3125 3820 4000 4775 5000 6112 6250 7640 9550 10000 12500 15280 19100 20000 23875 25000 30560 38200 47750 50000 76400 95500 100000 119375 120431 152800 191000 238750 240862 382000 477500 481724 596875 602155 764000 955000 963448 1193750 1204310 1910000 1926896 2387500 2408620 3010775 3820000 3853792 4775000 4817240 6021550 9550000 9634480 12043100 15053875 19100000 19268960 23002321 24086200 30107750 46004642 48172400 60215500 75269375 92009284 96344800 115011605 120431000 150538750 184018568 230023210 240862000 301077500 368037136 376346875 460046420 481724000 575058025 602155000 736074272 752693750 920092840 1150116050 1204310000 1505387500 1840185680 2300232100 2408620000 2875290125 3010775000 3680371360 4600464200 5750580250 6021550000 9200928400 11501160500 12043100000 14376450625 18401856800 23002321000 28752901250 46004642000 57505802500 71882253125 92009284000 115011605000 143764506250 230023210000 287529012500 460046420000 575058025000 1150116050000 2300232100000