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22012220202100 = 22521277172374473
BaseRepresentation
bin1010000000101000111101…
…00100001101110001110100
32212221100101110202221110121
411000110132210031301310
510341122011332431400
6114452135132301324
74431221223361222
oct500243644156164
985840343687417
1022012220202100
11701736a4a05a7
122576148011844
13c389884bb30b
1456157ba89b12
152828c5ace21a
hex14051e90dc74

22012220202100 has 36 divisors (see below), whose sum is σ = 47803923376524. Its totient is φ = 8797993050880.

The previous prime is 22012220202097. The next prime is 22012220202131. The reversal of 22012220202100 is 120202221022.

It can be written as a sum of positive squares in 6 ways, for example, as 2243063354596 + 19769156847504 = 1497686^2 + 4446252^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 86059537 + ... + 86314936.

It is an arithmetic number, because the mean of its divisors is an integer number (1327886760459).

Almost surely, 222012220202100 is an apocalyptic number.

22012220202100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22012220202100 is an abundant number, since it is smaller than the sum of its proper divisors (25791703174424).

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

22012220202100 is a wasteful number, since it uses less digits than its factorization.

22012220202100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172375764 (or 172375757 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 22012220202100 its reverse (120202221022), we get a palindrome (22132422423122).

The spelling of 22012220202100 in words is "twenty-two trillion, twelve billion, two hundred twenty million, two hundred two thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 1277 2554 5108 6385 12770 25540 31925 63850 127700 172374473 344748946 689497892 861872365 1723744730 3447489460 4309361825 8618723650 17237447300 220122202021 440244404042 880488808084 1100611010105 2201222020210 4402444040420 5503055050525 11006110101050 22012220202100