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2102221012220 = 2257103488929819
BaseRepresentation
bin11110100101110110001…
…000101111110011111100
321102222012101201022012122
4132211312020233303330
5233420322034342340
64245425204022112
7304610665525610
oct36456610576374
97388171638178
102102221012220
11740601a5827a
1229b511691938
13123314251514
1473a6889b340
1539a3c1d4db5
hex1e97622fcfc

2102221012220 has 96 divisors (see below), whose sum is σ = 5095527091200. Its totient is φ = 713593880064.

The previous prime is 2102221012219. The next prime is 2102221012223. The reversal of 2102221012220 is 222101222012.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2102221012223) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 70484471 + ... + 70514289.

It is an arithmetic number, because the mean of its divisors is an integer number (53078407200).

Almost surely, 22102221012220 is an apocalyptic number.

2102221012220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2102221012220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2547763545600).

2102221012220 is an abundant number, since it is smaller than the sum of its proper divisors (2993306078980).

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

2102221012220 is a wasteful number, since it uses less digits than its factorization.

2102221012220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34827 (or 34825 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 2102221012220 its reverse (222101222012), we get a palindrome (2324322234232).

The spelling of 2102221012220 in words is "two trillion, one hundred two billion, two hundred twenty-one million, twelve thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 103 140 206 412 515 721 1030 1442 2060 2884 3605 4889 7210 9778 14420 19556 24445 29819 34223 48890 59638 68446 97780 119276 136892 149095 171115 208733 298190 342230 417466 503567 596380 684460 834932 1007134 1043665 2014268 2087330 2517835 3071357 3524969 4174660 5035670 6142714 7049938 10071340 12285428 14099876 15356785 17624845 21499499 30713570 35249690 42998998 61427140 70499380 85997996 107497495 145785091 214994990 291570182 429989980 583140364 728925455 1020495637 1457850910 2040991274 2915701820 4081982548 5102478185 10204956370 15015864373 20409912740 30031728746 60063457492 75079321865 105111050611 150158643730 210222101222 300317287460 420444202444 525555253055 1051110506110 2102221012220