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220220021002000 = 2453211521848391
BaseRepresentation
bin110010000100100111111000…
…000111111100111100010000
31001212201211100220102112022011
4302010213320013330330100
5212331041100334031000
62100211403033152304
764246241262111565
oct6204477007747420
91055654326375264
10220220021002000
1164194871805728
122084814755b694
1395b5874710c16
143c549c4d5486c
151a6d664db32ba
hexc849f81fcf10

220220021002000 has 80 divisors (see below), whose sum is σ = 535015670626944. Its totient is φ = 87670529520000.

The previous prime is 220220021001991. The next prime is 220220021002031. The reversal of 220220021002000 is 200120022022.

It is a tau number, because it is divible by the number of its divisors (80).

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 15 ways as a sum of consecutive naturals, for example, 260502196 + ... + 261346195.

Almost surely, 2220220021002000 is an apocalyptic number.

220220021002000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

220220021002000 is an abundant number, since it is smaller than the sum of its proper divisors (314795649624944).

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

220220021002000 is a wasteful number, since it uses less digits than its factorization.

220220021002000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 521848625 (or 521848609 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 13.

Adding to 220220021002000 its reverse (200120022022), we get a palindrome (220420141024022).

The spelling of 220220021002000 in words is "two hundred twenty trillion, two hundred twenty billion, twenty-one million, two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 211 250 400 422 500 844 1000 1055 1688 2000 2110 3376 4220 5275 8440 10550 16880 21100 26375 42200 52750 84400 105500 211000 422000 521848391 1043696782 2087393564 2609241955 4174787128 5218483910 8349574256 10436967820 13046209775 20873935640 26092419550 41747871280 52184839100 65231048875 104369678200 110110010501 130462097750 208739356400 220220021002 260924195500 440440042004 521848391000 550550052505 880880084008 1043696782000 1101100105010 1761760168016 2202200210020 2752750262525 4404400420040 5505500525050 8808800840080 11011001050100 13763751312625 22022002100200 27527502625250 44044004200400 55055005250500 110110010501000 220220021002000