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211122022002220 = 22574495995607023
BaseRepresentation
bin110000000000001110101101…
…001000000010111000101100
31000200112001211201012200222101
4300000032231020002320230
5210133010400113032340
62025004041252024444
762320030342433560
oct6000165510027054
91020461751180871
10211122022002220
11612a738a53159a
121b818a42002124
1390a594b7791c4
143a1c508c876a0
151961b7ceaac9a
hexc003ad202e2c

211122022002220 has 96 divisors (see below), whose sum is σ = 508669217280000. Its totient is φ = 72102893850624.

The previous prime is 211122022002217. The next prime is 211122022002259. The reversal of 211122022002220 is 22200220221112.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 34849629 + ... + 40456651.

It is an arithmetic number, because the mean of its divisors is an integer number (5298637680000).

Almost surely, 2211122022002220 is an apocalyptic number.

211122022002220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211122022002220 is an abundant number, since it is smaller than the sum of its proper divisors (297547195277780).

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

211122022002220 is a wasteful number, since it uses less digits than its factorization.

211122022002220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5608087 (or 5608085 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 19.

Adding to 211122022002220 its reverse (22200220221112), we get a palindrome (233322242223332).

The spelling of 211122022002220 in words is "two hundred eleven trillion, one hundred twenty-two billion, twenty-two million, two thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 449 599 898 1198 1796 2245 2396 2995 3143 4193 4490 5990 6286 8386 8980 11980 12572 15715 16772 20965 31430 41930 62860 83860 268951 537902 1075804 1344755 1882657 2689510 3765314 5379020 5607023 7530628 9413285 11214046 18826570 22428092 28035115 37653140 39249161 56070230 78498322 112140460 156996644 196245805 392491610 784983220 2517553327 3358606777 5035106654 6717213554 10070213308 12587766635 13434427108 16793033885 17622873289 23510247439 25175533270 33586067770 35245746578 47020494878 50351066540 67172135540 70491493156 88114366445 94040989756 117551237195 176228732890 235102474390 352457465780 470204948780 1508014442873 3016028885746 6032057771492 7540072214365 10556101100111 15080144428730 21112202200222 30160288857460 42224404400444 52780505500555 105561011001110 211122022002220