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211100012112201 = 33115711444871167
BaseRepresentation
bin101111111111111010001101…
…001110111110100101001001
31000200102222000210201102221120
4233333322031032332211021
5210132130311100042301
62024550001243425453
762315321043444162
oct5777721516764511
91020388023642846
10211100012112201
1161299015520443
121b81471ab25289
1390a3851873744
143a1b41ba90769
1519612e0a76e36
hexbffe8d3be949

211100012112201 has 16 divisors (see below), whose sum is σ = 290731196940288. Its totient is φ = 136106863837200.

The previous prime is 211100012112179. The next prime is 211100012112211. The reversal of 211100012112201 is 102211210001112.

It is a happy number.

It is not a de Polignac number, because 211100012112201 - 227 = 211099877894473 is a prime.

It is a super-2 number, since 2×2111000121122012 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (211100012112211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 722289481 + ... + 722581686.

It is an arithmetic number, because the mean of its divisors is an integer number (18170699808768).

Almost surely, 2211100012112201 is an apocalyptic number.

It is an amenable number.

211100012112201 is a deficient number, since it is larger than the sum of its proper divisors (79631184828087).

211100012112201 is a wasteful number, since it uses less digits than its factorization.

211100012112201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1444872772.

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 211100012112201 its reverse (102211210001112), we get a palindrome (313311222113313).

The spelling of 211100012112201 in words is "two hundred eleven trillion, one hundred billion, twelve million, one hundred twelve thousand, two hundred one".

Divisors: 1 3 31 93 1571 4713 48701 146103 1444871167 4334613501 44791006177 134373018531 2269892603357 6809677810071 70366670704067 211100012112201