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2021222112100 = 22525925806441
BaseRepresentation
bin11101011010011010001…
…110011101101101100100
321011020010102222211211221
4131122122032131231210
5231103430330041400
64144311524310124
7266012524324012
oct35323216355544
97136112884757
102021222112100
1170a217209804
12287887242344
131187a61a6059
146db831bd8b2
153789b1a0c1a
hex1d69a39db64

2021222112100 has 54 divisors (see below), whose sum is σ = 4461652613474. Its totient is φ = 794785507200.

The previous prime is 2021222112031. The next prime is 2021222112101. The reversal of 2021222112100 is 12112221202.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 597739274496 + 1423482837604 = 773136^2 + 1193098^2 .

It is not an unprimeable number, because it can be changed into a prime (2021222112101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 2555121 + ... + 3251320.

Almost surely, 22021222112100 is an apocalyptic number.

2021222112100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2021222112100 is an abundant number, since it is smaller than the sum of its proper divisors (2440430501374).

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

2021222112100 is a wasteful number, since it uses less digits than its factorization.

2021222112100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5806573 (or 5806507 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 2021222112100 its reverse (12112221202), we get a palindrome (2033334333302).

The spelling of 2021222112100 in words is "two trillion, twenty-one billion, two hundred twenty-two million, one hundred twelve thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 59 100 118 236 295 590 1180 1475 2950 3481 5900 6962 13924 17405 34810 69620 87025 174050 348100 5806441 11612882 23225764 29032205 58064410 116128820 145161025 290322050 342580019 580644100 685160038 1370320076 1712900095 3425800190 6851600380 8564500475 17129000950 20212221121 34258001900 40424442242 80848884484 101061105605 202122211210 404244422420 505305528025 1010611056050 2021222112100