Search a number
-
+
2122332000201 = 327279531205159
BaseRepresentation
bin11110111000100100110…
…110000100111111001001
321111220002222002100100100
4132320210312010333021
5234233013443001301
64302552540200013
7306222236230620
oct36704466047711
97456088070310
102122332000201
117490920a31a6
122a33a4839009
1312519a9190ca
1474a157d46b7
153a317a76286
hex1ee24d84fc9

2122332000201 has 24 divisors (see below), whose sum is σ = 3503660434560. Its totient is φ = 1212716750976.

The previous prime is 2122332000181. The next prime is 2122332000281. The reversal of 2122332000201 is 1020002332212.

2122332000201 is a `hidden beast` number, since 212 + 233 + 20 + 0 + 0 + 201 = 666.

It is not a de Polignac number, because 2122332000201 - 211 = 2122331998153 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2122332000281) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1158460 + ... + 2363618.

It is an arithmetic number, because the mean of its divisors is an integer number (145985851440).

Almost surely, 22122332000201 is an apocalyptic number.

2122332000201 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2122332000201 is a deficient number, since it is larger than the sum of its proper divisors (1381328434359).

2122332000201 is a wasteful number, since it uses less digits than its factorization.

2122332000201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1233125 (or 1233122 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 2122332000201 its reverse (1020002332212), we get a palindrome (3142334332413).

The spelling of 2122332000201 in words is "two trillion, one hundred twenty-two billion, three hundred thirty-two million, two hundred one", and thus it is an aban number.

Divisors: 1 3 7 9 21 63 27953 83859 195671 251577 587013 1205159 1761039 3615477 8436113 10846431 25308339 75925017 33687809527 101063428581 235814666689 303190285743 707444000067 2122332000201