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20441131230 = 235133115111197
BaseRepresentation
bin10011000010011000…
…101110100011011110
31221202120121001112110
4103002120232203132
5313330412144410
613220204214450
71322356514532
oct230230564336
957676531473
1020441131230
11873a538493
123b6583a426
131c09bba930
14dbcb15bc2
157e9856720
hex4c262e8de

20441131230 has 128 divisors (see below), whose sum is σ = 54902808576. Its totient is φ = 4836672000.

The previous prime is 20441131223. The next prime is 20441131231. The reversal of 20441131230 is 3213114402.

It is a junction number, because it is equal to n+sod(n) for n = 20441131197 and 20441131206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20441131231) 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 63 ways as a sum of consecutive naturals, for example, 1819992 + ... + 1831188.

It is an arithmetic number, because the mean of its divisors is an integer number (428928192).

Almost surely, 220441131230 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20441131230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27451404288).

20441131230 is an abundant number, since it is smaller than the sum of its proper divisors (34461677346).

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

20441131230 is a wasteful number, since it uses less digits than its factorization.

20441131230 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11402.

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 20441131230 its reverse (3213114402), we get a palindrome (23654245632).

It can be divided in two parts, 204411 and 31230, that added together give a triangular number (235641 = T686).

The spelling of 20441131230 in words is "twenty billion, four hundred forty-one million, one hundred thirty-one thousand, two hundred thirty".

Divisors: 1 2 3 5 6 10 13 15 26 30 31 39 62 65 78 93 130 151 155 186 195 302 310 390 403 453 465 755 806 906 930 1209 1510 1963 2015 2265 2418 3926 4030 4530 4681 5889 6045 9362 9815 11197 11778 12090 14043 19630 22394 23405 28086 29445 33591 46810 55985 58890 60853 67182 70215 111970 121706 140430 145561 167955 182559 291122 304265 335910 347107 365118 436683 608530 694214 727805 873366 912795 1041321 1455610 1690747 1735535 1825590 2082642 2183415 3381494 3471070 4366830 4512391 5072241 5206605 8453735 9024782 10144482 10413210 13537173 16907470 21979711 22561955 25361205 27074346 43959422 45123910 50722410 52413157 65939133 67685865 104826314 109898555 131878266 135371730 157239471 219797110 262065785 314478942 329695665 524131570 659391330 681371041 786197355 1362742082 1572394710 2044113123 3406855205 4088226246 6813710410 10220565615 20441131230