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10222110211220 = 2251742171413373
BaseRepresentation
bin1001010011000000010100…
…1111110111110010010100
31100012020001102210001011122
42110300011033313302110
52314434340203224340
633423550025423112
72103344264111435
oct224600517676224
940166042701148
1010222110211220
1132911997a7156
12119114403aa98
13591c300a6bcb
14274a7787d48c
1512ad79515db5
hex94c053f7c94

10222110211220 has 48 divisors (see below), whose sum is σ = 22783151533968. Its totient is φ = 3839182878720.

The previous prime is 10222110211217. The next prime is 10222110211249. The reversal of 10222110211220 is 2211201122201.

It can be written as a sum of positive squares in 8 ways, for example, as 1361081555716 + 8861028655504 = 1166654^2 + 2976748^2 .

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35563547 + ... + 35849826.

It is an arithmetic number, because the mean of its divisors is an integer number (474648990291).

Almost surely, 210222110211220 is an apocalyptic number.

10222110211220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10222110211220 is an abundant number, since it is smaller than the sum of its proper divisors (12561041322748).

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

10222110211220 is a wasteful number, since it uses less digits than its factorization.

10222110211220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71413820 (or 71413818 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 10222110211220 its reverse (2211201122201), we get a palindrome (12433311333421).

The spelling of 10222110211220 in words is "ten trillion, two hundred twenty-two billion, one hundred ten million, two hundred eleven thousand, two hundred twenty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 340 421 842 1684 2105 4210 7157 8420 14314 28628 35785 71570 143140 71413373 142826746 285653492 357066865 714133730 1214027341 1428267460 2428054682 4856109364 6070136705 12140273410 24280546820 30065030033 60130060066 120260120132 150325150165 300650300330 511105510561 601300600660 1022211021122 2044422042244 2555527552805 5111055105610 10222110211220