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2212202202100 = 22521117210168899
BaseRepresentation
bin100000001100010001100…
…001101100001111110100
321211111002011201121221121
4200030101201230033310
5242221042230431400
64412134402353324
7315553301314222
oct40142141541764
97744064647847
102212202202100
1178320a520030
122b88a605b844
131307c0893777
14790dd385b12
153c82781421a
hex2031186c3f4

2212202202100 has 216 divisors, whose sum is σ = 5618220098400. Its totient is φ = 749610240000.

The previous prime is 2212202202053. The next prime is 2212202202101. The reversal of 2212202202100 is 12022022122.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2212202202101) 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 71 ways as a sum of consecutive naturals, for example, 32073451 + ... + 32142349.

Almost surely, 22212202202100 is an apocalyptic number.

2212202202100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2212202202100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2809110049200).

2212202202100 is an abundant number, since it is smaller than the sum of its proper divisors (3406017896300).

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

2212202202100 is a wasteful number, since it uses less digits than its factorization.

2212202202100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69059 (or 69035 counting only the distinct ones).

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

Adding to 2212202202100 its reverse (12022022122), we get a palindrome (2224224224222).

The spelling of 2212202202100 in words is "two trillion, two hundred twelve billion, two hundred two million, two hundred two thousand, one hundred".