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22012010100 = 22325224457789
BaseRepresentation
bin10100100000000001…
…001001111001110100
32002211001110222020100
4110200001021321310
5330040033310400
614040121434100
71406322666363
oct244001117164
962731428210
1022012010100
119376229a93
12432393b930
1320ca498762
1410cb5c97da
1588c702100
hex520049e74

22012010100 has 54 divisors (see below), whose sum is σ = 68995425590. Its totient is φ = 5869869120.

The previous prime is 22012010077. The next prime is 22012010101. The reversal of 22012010100 is 101021022.

It can be written as a sum of positive squares in 3 ways, for example, as 5743517796 + 16268492304 = 75786^2 + 127548^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22012010101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 12227995 + ... + 12229794.

Almost surely, 222012010100 is an apocalyptic number.

22012010100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22012010100 is an abundant number, since it is smaller than the sum of its proper divisors (46983415490).

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

22012010100 is a wasteful number, since it uses less digits than its factorization.

22012010100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24457809 (or 24457799 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 22012010100 its reverse (101021022), we get a palindrome (22113031122).

The spelling of 22012010100 in words is "twenty-two billion, twelve million, ten thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 150 180 225 300 450 900 24457789 48915578 73373367 97831156 122288945 146746734 220120101 244577890 293493468 366866835 440240202 489155780 611444725 733733670 880480404 1100600505 1222889450 1467467340 1834334175 2201201010 2445778900 3668668350 4402402020 5503002525 7337336700 11006005050 22012010100