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2300111012020 = 225319746182963
BaseRepresentation
bin100001011110001001010…
…011001100000010110100
322010212222200122212120111
4201132021103030002310
5300141111404341040
64520353441312404
7325114616005543
oct41361123140264
98125880585514
102300111012020
11807520780058
1231193a635704
13138b90390b63
147d47c64c15a
153ec702b8dea
hex217894cc0b4

2300111012020 has 96 divisors (see below), whose sum is σ = 5048437718016. Its totient is φ = 879264460800.

The previous prime is 2300111012009. The next prime is 2300111012021. The reversal of 2300111012020 is 202101110032.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2300111012021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27683059 + ... + 27766021.

It is an arithmetic number, because the mean of its divisors is an integer number (52587892896).

Almost surely, 22300111012020 is an apocalyptic number.

2300111012020 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 2300111012020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2524218859008).

2300111012020 is an abundant number, since it is smaller than the sum of its proper divisors (2748326705996).

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

2300111012020 is a wasteful number, since it uses less digits than its factorization.

2300111012020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83561 (or 83559 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

Adding to 2300111012020 its reverse (202101110032), we get a palindrome (2502212122052).

The spelling of 2300111012020 in words is "two trillion, three hundred billion, one hundred eleven million, twelve thousand, twenty".

Divisors: 1 2 4 5 10 20 31 62 97 124 155 194 310 388 461 485 620 922 970 1844 1940 2305 3007 4610 6014 9220 12028 14291 15035 28582 30070 44717 57164 60140 71455 82963 89434 142910 165926 178868 223585 285820 331852 414815 447170 829630 894340 1386227 1659260 2571853 2772454 5143706 5544908 6931135 8047411 10287412 12859265 13862270 16094822 25718530 27724540 32189644 38245943 40237055 51437060 76491886 80474110 152983772 160948220 191229715 249469741 382459430 498939482 764918860 997878964 1185624233 1247348705 2371248466 2494697410 3709856471 4742496932 4989394820 5928121165 7419712942 11856242330 14839425884 18549282355 23712484660 37098564710 74197129420 115005550601 230011101202 460022202404 575027753005 1150055506010 2300111012020