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2111220001 = 113144913789
BaseRepresentation
bin111110111010110…
…1010100100100001
312110010122002101101
41331311222210201
513310433020001
6545254434401
7103214034232
oct17565524441
95403562341
102111220001
11993801920
124ab062a01
13278518b07
1416056b089
15c5531a01
hex7dd6a921

2111220001 has 16 divisors (see below), whose sum is σ = 2382912000. Its totient is φ = 1853107200.

The previous prime is 2111219983. The next prime is 2111220029. The reversal of 2111220001 is 1000221112.

It is a cyclic number.

It is not a de Polignac number, because 2111220001 - 25 = 2111219969 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 2111220001.

It is not an unprimeable number, because it can be changed into a prime (2111220031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 146215 + ... + 160003.

It is an arithmetic number, because the mean of its divisors is an integer number (148932000).

Almost surely, 22111220001 is an apocalyptic number.

It is an amenable number.

2111220001 is a deficient number, since it is larger than the sum of its proper divisors (271691999).

2111220001 is a wasteful number, since it uses less digits than its factorization.

2111220001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14280.

The product of its (nonzero) digits is 8, while the sum is 10.

The square root of 2111220001 is about 45948.0141137786. The cubic root of 2111220001 is about 1282.8557659864.

Adding to 2111220001 its reverse (1000221112), we get a palindrome (3111441113).

The spelling of 2111220001 in words is "two billion, one hundred eleven million, two hundred twenty thousand, one".

Divisors: 1 11 31 341 449 4939 13789 13919 151679 153109 427459 4702049 6191261 68103871 191929091 2111220001