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2120221212201 = 34113231642217
BaseRepresentation
bin11110110110100111000…
…010000011111000101001
321111200122212021012120000
4132312213002003320221
5234214203112242301
64302003254453213
7306116025643011
oct36664702037051
97450585235500
102120221212201
117481a9666a04
122a2ab5964209
13124c22521b21
147489533ac41
153a2425cc786
hex1eda7083e29

2120221212201 has 20 divisors (see below), whose sum is σ = 3195272755092. Its totient is φ = 1400972122368.

The previous prime is 2120221212167. The next prime is 2120221212253. The reversal of 2120221212201 is 1022121220212.

It is a happy number.

2120221212201 is a `hidden beast` number, since 212 + 0 + 221 + 212 + 20 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 79537536576 + 2040683675625 = 282024^2 + 1428525^2 .

It is not a de Polignac number, because 2120221212201 - 210 = 2120221211177 is a prime.

It is a super-3 number, since 3×21202212122013 (a number of 38 digits) contains 333 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (2120221212271) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 115811956 + ... + 115830261.

Almost surely, 22120221212201 is an apocalyptic number.

It is an amenable number.

2120221212201 is a deficient number, since it is larger than the sum of its proper divisors (1075051542891).

2120221212201 is a wasteful number, since it uses less digits than its factorization.

2120221212201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231642342 (or 231642333 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 2120221212201 its reverse (1022121220212), we get a palindrome (3142342432413).

The spelling of 2120221212201 in words is "two trillion, one hundred twenty billion, two hundred twenty-one million, two hundred twelve thousand, two hundred one".

Divisors: 1 3 9 27 81 113 339 1017 3051 9153 231642217 694926651 2084779953 6254339859 18763019577 26175570521 78526711563 235580134689 706740404067 2120221212201