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2112024310000 = 24541119200221
BaseRepresentation
bin11110101110111110011…
…101010111000011110000
321110220111121100102121121
4132232332131113003300
5234100411210410000
64254130042432024
7305405634266653
oct36567635270360
97426447312547
102112024310000
11744782731a70
122a13a8802614
1312421726a737
147431885989a
1539e12b8ab1a
hex1ebbe7570f0

2112024310000 has 100 divisors (see below), whose sum is σ = 5578278898104. Its totient is φ = 768008800000.

The previous prime is 2112024309803. The next prime is 2112024310001. The reversal of 2112024310000 is 134202112.

It is a tau number, because it is divible by the number of its divisors (100).

It is a super-2 number, since 2×21120243100002 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2112024310001) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 9490111 + ... + 9710110.

Almost surely, 22112024310000 is an apocalyptic number.

2112024310000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2112024310000 is an abundant number, since it is smaller than the sum of its proper divisors (3466254588104).

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

2112024310000 is a wasteful number, since it uses less digits than its factorization.

2112024310000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19200260 (or 19200239 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 2112024310000 its reverse (134202112), we get a palindrome (2112158512112).

The spelling of 2112024310000 in words is "two trillion, one hundred twelve billion, twenty-four million, three hundred ten thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 125 176 200 220 250 275 400 440 500 550 625 880 1000 1100 1250 1375 2000 2200 2500 2750 4400 5000 5500 6875 10000 11000 13750 22000 27500 55000 110000 19200221 38400442 76800884 96001105 153601768 192002210 211202431 307203536 384004420 422404862 480005525 768008840 844809724 960011050 1056012155 1536017680 1689619448 1920022100 2112024310 2400027625 3379238896 3840044200 4224048620 4800055250 5280060775 7680088400 8448097240 9600110500 10560121550 12000138125 16896194480 19200221000 21120243100 24000276250 26400303875 38400442000 42240486200 48000552500 52800607750 84480972400 96001105000 105601215500 132001519375 192002210000 211202431000 264003038750 422404862000 528006077500 1056012155000 2112024310000