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2201011222120 = 235173236781209
BaseRepresentation
bin100000000001110110011…
…111011111011001101000
321210102012020220221102121
4200001312133133121220
5242030132333101440
64403044113041024
7315006052462354
oct40016637373150
97712166827377
102201011222120
11779497500147
122b66a2256174
1312c72921c619
147875ada0464
153c3c00ed34a
hex200767df668

2201011222120 has 32 divisors (see below), whose sum is σ = 5243585560200. Its totient is φ = 828615989248.

The previous prime is 2201011222117. The next prime is 2201011222129. The reversal of 2201011222120 is 212221101022.

It is a happy number.

2201011222120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 2168768710276 + 32242511844 = 1472674^2 + 179562^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2201011222094 and 2201011222103.

It is not an unprimeable number, because it can be changed into a prime (2201011222129) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1618389925 + ... + 1618391284.

Almost surely, 22201011222120 is an apocalyptic number.

2201011222120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2201011222120 is an abundant number, since it is smaller than the sum of its proper divisors (3042574338080).

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

2201011222120 is a wasteful number, since it uses less digits than its factorization.

2201011222120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3236781237 (or 3236781233 counting only the distinct ones).

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

Adding to 2201011222120 its reverse (212221101022), we get a palindrome (2413232323142).

The spelling of 2201011222120 in words is "two trillion, two hundred one billion, eleven million, two hundred twenty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 85 136 170 340 680 3236781209 6473562418 12947124836 16183906045 25894249672 32367812090 55025280553 64735624180 110050561106 129471248360 220101122212 275126402765 440202244424 550252805530 1100505611060 2201011222120