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22212120101000 = 235322212120101
BaseRepresentation
bin1010000110011101010011…
…00001110100000010001000
32220122110100211200222001212
411003032221201310002020
510402410410221213000
6115124035045032252
74451526020442254
oct503165141640210
986573324628055
1022212120101000
11709411a801315
1225a8a360b5688
13c51794b5c96b
1456b102751264
15287bc537dc35
hex1433a9874088

22212120101000 has 32 divisors (see below), whose sum is σ = 51976361038680. Its totient is φ = 8884848040000.

The previous prime is 22212120100981. The next prime is 22212120101009. The reversal of 22212120101000 is 10102121222.

It can be written as a sum of positive squares in 4 ways, for example, as 2928130147684 + 19283989953316 = 1711178^2 + 4391354^2 .

It is not an unprimeable number, because it can be changed into a prime (22212120101009) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 11106059051 + ... + 11106061050.

Almost surely, 222212120101000 is an apocalyptic number.

22212120101000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22212120101000 is an abundant number, since it is smaller than the sum of its proper divisors (29764240937680).

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

22212120101000 is a wasteful number, since it uses less digits than its factorization.

22212120101000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22212120122 (or 22212120108 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 22212120101000 its reverse (10102121222), we get a palindrome (22222222222222).

The spelling of 22212120101000 in words is "twenty-two trillion, two hundred twelve billion, one hundred twenty million, one hundred one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 1000 22212120101 44424240202 88848480404 111060600505 177696960808 222121201010 444242402020 555303002525 888484804040 1110606005050 2221212010100 2776515012625 4442424020200 5553030025250 11106060050500 22212120101000