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2211102002201 = 371371195336493
BaseRepresentation
bin100000001011001111111…
…100110000110000011001
321211101020111111200102012
4200023033330300300121
5242211314103032301
64411433301315305
7315514111626311
oct40131774606031
97741214450365
102211102002201
117827a5489614
122b8639705b35
13130676972b01
14790371d4441
153c7b0e3debb
hex202cff30c19

2211102002201 has 16 divisors (see below), whose sum is σ = 2287691203344. Its totient is φ = 2135402072064.

The previous prime is 2211102002173. The next prime is 2211102002231. The reversal of 2211102002201 is 1022002011122.

It can be written as a sum of positive squares in 8 ways, for example, as 94309795801 + 2116792206400 = 307099^2 + 1454920^2 .

It is a cyclic number.

It is not a de Polignac number, because 2211102002201 - 210 = 2211102001177 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2211102002231) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 60571511 + ... + 60608003.

It is an arithmetic number, because the mean of its divisors is an integer number (142980700209).

Almost surely, 22211102002201 is an apocalyptic number.

It is an amenable number.

2211102002201 is a deficient number, since it is larger than the sum of its proper divisors (76589201143).

2211102002201 is a wasteful number, since it uses less digits than its factorization.

2211102002201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48620.

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 2211102002201 its reverse (1022002011122), we get a palindrome (3233104013323).

The spelling of 2211102002201 in words is "two trillion, two hundred eleven billion, one hundred two million, two thousand, two hundred one".

Divisors: 1 37 137 5069 11953 36493 442261 1350241 1637561 4999541 60589757 184983017 436200829 16139430673 59759513573 2211102002201