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2321013441120 = 253511439585879
BaseRepresentation
bin100001110001100111001…
…011101000001001100000
322012212221102021021211020
4201301213023220021200
5301011413420103440
64534131525045440
7326454606506223
oct41614713501140
98185842237736
102321013441120
11815377640450
123159b2856880
1313ab41a029ba
14804a27235ba
15405953913d0
hex21c672e8260

2321013441120 has 96 divisors (see below), whose sum is σ = 7975846206720. Its totient is φ = 562669923840.

The previous prime is 2321013441119. The next prime is 2321013441139. The reversal of 2321013441120 is 211443101232.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 219787660 + ... + 219798219.

It is an arithmetic number, because the mean of its divisors is an integer number (83081731320).

Almost surely, 22321013441120 is an apocalyptic number.

2321013441120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2321013441120 is an abundant number, since it is smaller than the sum of its proper divisors (5654832765600).

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

2321013441120 is a wasteful number, since it uses less digits than its factorization.

2321013441120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 439585908 (or 439585900 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 2321013441120 its reverse (211443101232), we get a palindrome (2532456542352).

The spelling of 2321013441120 in words is "two trillion, three hundred twenty-one billion, thirteen million, four hundred forty-one thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 32 33 40 44 48 55 60 66 80 88 96 110 120 132 160 165 176 220 240 264 330 352 440 480 528 660 880 1056 1320 1760 2640 5280 439585879 879171758 1318757637 1758343516 2197929395 2637515274 3516687032 4395858790 4835444669 5275030548 6593788185 7033374064 8791717580 9670889338 10550061096 13187576370 14066748128 14506334007 17583435160 19341778676 21100122192 24177223345 26375152740 29012668014 35166870320 38683557352 42200244384 48354446690 52750305480 58025336028 70333740640 72531670035 77367114704 96708893380 105500610960 116050672056 145063340070 154734229408 193417786760 211001221920 232101344112 290126680140 386835573520 464202688224 580253360280 773671147040 1160506720560 2321013441120