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2122001002220 = 2251123795308453
BaseRepresentation
bin11110111000010001000…
…111011010111011101100
321111212020220020220110212
4132320101013122323230
5234231324224032340
64302500033521552
7306211106625131
oct36702107327354
97455226226425
102122001002220
11748a32277550
122a3311a132b8
13125147187008
14749c3872588
153a2e8992a65
hex1ee111daeec

2122001002220 has 96 divisors (see below), whose sum is σ = 5136884766720. Its totient is φ = 728744290560.

The previous prime is 2122001002211. The next prime is 2122001002229. The reversal of 2122001002220 is 222001002212.

It is an interprime number because it is at equal distance from previous prime (2122001002211) and next prime (2122001002229).

It is a junction number, because it is equal to n+sod(n) for n = 2122001002195 and 2122001002204.

It is not an unprimeable number, because it can be changed into a prime (2122001002229) by changing a digit.

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, 2254487 + ... + 3053966.

It is an arithmetic number, because the mean of its divisors is an integer number (53509216320).

Almost surely, 22122001002220 is an apocalyptic number.

2122001002220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2122001002220 is an abundant number, since it is smaller than the sum of its proper divisors (3014883764500).

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

2122001002220 is a wasteful number, since it uses less digits than its factorization.

2122001002220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5308575 (or 5308573 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 2122001002220 its reverse (222001002212), we get a palindrome (2344002004432).

The spelling of 2122001002220 in words is "two trillion, one hundred twenty-two billion, one million, two thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 23 44 46 55 79 92 110 115 158 220 230 253 316 395 460 506 790 869 1012 1265 1580 1738 1817 2530 3476 3634 4345 5060 7268 8690 9085 17380 18170 19987 36340 39974 79948 99935 199870 399740 5308453 10616906 21233812 26542265 53084530 58392983 106169060 116785966 122094419 233571932 244188838 291964915 419367787 488377676 583929830 610472095 838735574 1167859660 1220944190 1343038609 1677471148 2096838935 2441888380 2686077218 4193677870 4613045657 5372154436 6715193045 8387355740 9226091314 9645459101 13430386090 18452182628 19290918202 23065228285 26860772180 38581836404 46130456570 48227295505 92260913140 96454591010 106100050111 192909182020 212200100222 424400200444 530500250555 1061000501110 2122001002220