Search a number
-
+
2001222122211 = 3213210139129769
BaseRepresentation
bin11101000111110010001…
…000100011101011100011
321002022111121111002110200
4131013302020203223203
5230242000330402321
64131203155200243
7264404102241414
oct35076210435343
97068447432420
102001222122211
11701793797344
12283a252a6083
13116939802c00
146cc06cdb80b
15370ca437d26
hex1d1f2223ae3

2001222122211 has 36 divisors (see below), whose sum is σ = 3130449496200. Its totient is φ = 1231390353024.

The previous prime is 2001222122209. The next prime is 2001222122213. The reversal of 2001222122211 is 1122212221002.

It is a happy number.

2001222122211 is a `hidden beast` number, since 200 + 12 + 221 + 22 + 211 = 666.

It is an interprime number because it is at equal distance from previous prime (2001222122209) and next prime (2001222122213).

It is not a de Polignac number, because 2001222122211 - 21 = 2001222122209 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2001222122213) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 15356535 + ... + 15486303.

It is an arithmetic number, because the mean of its divisors is an integer number (86956930450).

Almost surely, 22001222122211 is an apocalyptic number.

2001222122211 is a deficient number, since it is larger than the sum of its proper divisors (1129227373989).

2001222122211 is a wasteful number, since it uses less digits than its factorization.

2001222122211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139940 (or 139924 counting only the distinct ones).

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

Adding to 2001222122211 its reverse (1122212221002), we get a palindrome (3123434343213).

The spelling of 2001222122211 in words is "two trillion, one billion, two hundred twenty-two million, one hundred twenty-two thousand, two hundred eleven".

Divisors: 1 3 9 13 39 117 169 507 1521 10139 30417 91251 129769 131807 389307 395421 1167921 1186263 1686997 1713491 5060991 5140473 15182973 15421419 21930961 65792883 197378649 1315727891 3947183673 11841551019 17104462583 51313387749 153940163247 222358013579 667074040737 2001222122211