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2441331031020 = 2235710754324233
BaseRepresentation
bin100011100001101010101…
…010110011101111101100
322122101111120001010202120
4203201222222303233230
5304444321220443040
65105310524352540
7341244313241550
oct43415252635754
98571446033676
102441331031020
118613a97a3562
123351909a5750
131492a793628b
1486237cdb860
154378817c7d0
hex2386aab3bec

2441331031020 has 96 divisors (see below), whose sum is σ = 7885271213568. Its totient is φ = 552803384832.

The previous prime is 2441331031003. The next prime is 2441331031037. The reversal of 2441331031020 is 201301331442.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2441331031003) and next prime (2441331031037).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27117177 + ... + 27207056.

It is an arithmetic number, because the mean of its divisors is an integer number (82138241808).

Almost surely, 22441331031020 is an apocalyptic number.

2441331031020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2441331031020 is an abundant number, since it is smaller than the sum of its proper divisors (5443940182548).

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

2441331031020 is a wasteful number, since it uses less digits than its factorization.

2441331031020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54324359 (or 54324357 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 2441331031020 its reverse (201301331442), we get a palindrome (2642632362462).

The spelling of 2441331031020 in words is "two trillion, four hundred forty-one billion, three hundred thirty-one million, thirty-one thousand, twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 107 140 210 214 321 420 428 535 642 749 1070 1284 1498 1605 2140 2247 2996 3210 3745 4494 6420 7490 8988 11235 14980 22470 44940 54324233 108648466 162972699 217296932 271621165 325945398 380269631 543242330 651890796 760539262 814863495 1086484660 1140808893 1521078524 1629726990 1901348155 2281617786 3259453980 3802696310 4563235572 5704044465 5812692931 7605392620 11408088930 11625385862 17438078793 22816177860 23250771724 29063464655 34876157586 40688850517 58126929310 69752315172 81377701034 87190393965 116253858620 122066551551 162755402068 174380787930 203444252585 244133103102 348761575860 406888505170 488266206204 610332757755 813777010340 1220665515510 2441331031020