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241335300020 = 2251391512572237
BaseRepresentation
bin1110000011000010110…
…1000110111110110100
3212001221001221111021012
43200300231012332310
512423223314100040
6302511245011352
723302341126533
oct3406055067664
9761831844235
10241335300020
1193393537981
123a932853b58
13199b0c18b99
14b975b5c31a
1564272c0865
hex3830b46fb4

241335300020 has 96 divisors (see below), whose sum is σ = 516060599040. Its totient is φ = 94792089600.

The previous prime is 241335299993. The next prime is 241335300029. The reversal of 241335300020 is 20003533142.

241335300020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (241335300029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 107882342 + ... + 107884578.

It is an arithmetic number, because the mean of its divisors is an integer number (5375631240).

Almost surely, 2241335300020 is an apocalyptic number.

241335300020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

241335300020 is an abundant number, since it is smaller than the sum of its proper divisors (274725299020).

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

241335300020 is a wasteful number, since it uses less digits than its factorization.

241335300020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2793 (or 2791 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 23.

Adding to 241335300020 its reverse (20003533142), we get a palindrome (261338833162).

The spelling of 241335300020 in words is "two hundred forty-one billion, three hundred thirty-five million, three hundred thousand, twenty".

Divisors: 1 2 4 5 10 20 139 151 257 278 302 514 556 604 695 755 1028 1285 1390 1510 2237 2570 2780 3020 4474 5140 8948 11185 20989 22370 35723 38807 41978 44740 71446 77614 83956 104945 142892 155228 178615 194035 209890 310943 337787 357230 388070 419780 574909 621886 675574 714460 776140 1149818 1243772 1351148 1554715 1688935 2299636 2874545 3109430 3377870 5394173 5749090 6218860 6755740 10788346 11498180 21576692 26970865 46952393 53941730 79912351 86811259 93904786 107883460 159824702 173622518 187809572 234761965 319649404 347245036 399561755 434056295 469523930 799123510 868112590 939047860 1598247020 1736225180 12066765001 24133530002 48267060004 60333825005 120667650010 241335300020