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241012413020 = 2251032813491193
BaseRepresentation
bin1110000001110101110…
…1011001001001011100
3212001002120101010120102
43200131131121021130
512422043134204040
6302415232240232
723261340465161
oct3403535311134
9761076333512
10241012413020
1193238251115
123a8626a0078
131995c0668a2
14b944d0c068
156408c90515
hex381d75925c

241012413020 has 96 divisors (see below), whose sum is σ = 514759190400. Its totient is φ = 94777159680.

The previous prime is 241012413001. The next prime is 241012413053. The reversal of 241012413020 is 20314210142.

241012413020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 241012412983 and 241012413001.

It is a congruent number.

It is an unprimeable number.

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, 202021544 + ... + 202022736.

It is an arithmetic number, because the mean of its divisors is an integer number (5362074900).

Almost surely, 2241012413020 is an apocalyptic number.

241012413020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

241012413020 is an abundant number, since it is smaller than the sum of its proper divisors (273746777380).

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

241012413020 is a wasteful number, since it uses less digits than its factorization.

241012413020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1935 (or 1933 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 241012413020 its reverse (20314210142), we get a palindrome (261326623162).

The spelling of 241012413020 in words is "two hundred forty-one billion, twelve million, four hundred thirteen thousand, twenty".

Divisors: 1 2 4 5 10 20 103 206 281 349 412 515 562 698 1030 1124 1193 1396 1405 1745 2060 2386 2810 3490 4772 5620 5965 6980 11930 23860 28943 35947 57886 71894 98069 115772 122879 143788 144715 179735 196138 245758 289430 335233 359470 392276 416357 490345 491516 578860 614395 670466 718940 832714 980690 1228790 1340932 1665428 1676165 1961380 2081785 2457580 3352330 4163570 6704660 8327140 10101107 20202214 34528999 40404428 42884771 50505535 69057998 85769542 101011070 116996317 138115996 171539084 172644995 202022140 214423855 233992634 345289990 428847710 467985268 584981585 690579980 857695420 1169963170 2339926340 12050620651 24101241302 48202482604 60253103255 120506206510 241012413020