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2123442434300 = 22521123108777213
BaseRepresentation
bin11110111001100111000…
…010000011000011111100
321111222222100120020120012
4132321213002003003330
5234242302230344200
64303255044442352
7306261611612045
oct36714702030374
97458870506505
102123442434300
11749601994830
122a36546a93b8
131253169b10c5
1474abd08b8cc
153a3802bda35
hex1ee670830fc

2123442434300 has 144 divisors (see below), whose sum is σ = 5250215964672. Its totient is φ = 737899641600.

The previous prime is 2123442434293. The next prime is 2123442434317. The reversal of 2123442434300 is 34342443212.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 27462494 + ... + 27539706.

It is an arithmetic number, because the mean of its divisors is an integer number (36459833088).

Almost surely, 22123442434300 is an apocalyptic number.

2123442434300 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 2123442434300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2625107982336).

2123442434300 is an abundant number, since it is smaller than the sum of its proper divisors (3126773530372).

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

2123442434300 is a wasteful number, since it uses less digits than its factorization.

2123442434300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78348 (or 78341 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 32.

Adding to 2123442434300 its reverse (34342443212), we get a palindrome (2157784877512).

The spelling of 2123442434300 in words is "two trillion, one hundred twenty-three billion, four hundred forty-two million, four hundred thirty-four thousand, three hundred".

Divisors: 1 2 4 5 10 11 20 22 23 25 44 46 50 55 92 100 110 115 220 230 253 275 460 506 550 575 1012 1087 1100 1150 1265 2174 2300 2530 4348 5060 5435 6325 10870 11957 12650 21740 23914 25001 25300 27175 47828 50002 54350 59785 77213 100004 108700 119570 125005 154426 239140 250010 275011 298925 308852 386065 500020 550022 597850 625025 772130 849343 1100044 1195700 1250050 1375055 1544260 1698686 1775899 1930325 2500100 2750110 3397372 3551798 3860650 4246715 5500220 6875275 7103596 7721300 8493430 8879495 13750550 16986860 17758990 19534889 21233575 27501100 35517980 39069778 42467150 44397475 78139556 83930531 84934300 88794950 97674445 167861062 177589900 195348890 335722124 390697780 419652655 488372225 839305310 923235841 976744450 1678610620 1846471682 1930402213 1953488900 2098263275 3692943364 3860804426 4196526550 4616179205 7721608852 8393053100 9232358410 9652011065 18464716820 19304022130 21234424343 23080896025 38608044260 42468848686 46161792050 48260055325 84937697372 92323584100 96520110650 106172121715 193040221300 212344243430 424688486860 530860608575 1061721217150 2123442434300