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211002120011111 = 11131621910264837
BaseRepresentation
bin101111111110011111000010…
…011010001111110101100111
31000200002121100112110110101212
4233332133002122033311213
5210124024320210323421
62024433011420142035
762305254143351432
oct5776370232176547
91020077315413355
10211002120011111
1161260550a28a60
121b7b975b09791b
139097550989280
143a167b2974819
15195d9b1914e5b
hexbfe7c268fd67

211002120011111 has 16 divisors (see below), whose sum is σ = 248043527295648. Its totient is φ = 176955484118400.

The previous prime is 211002120011077. The next prime is 211002120011143. The reversal of 211002120011111 is 111110021200112.

It is a de Polignac number, because none of the positive numbers 2k-211002120011111 is a prime.

It is a super-2 number, since 2×2110021200111112 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211002120011611) 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, 454900616 + ... + 455364221.

It is an arithmetic number, because the mean of its divisors is an integer number (15502720455978).

Almost surely, 2211002120011111 is an apocalyptic number.

211002120011111 is a deficient number, since it is larger than the sum of its proper divisors (37041407284537).

211002120011111 is a wasteful number, since it uses less digits than its factorization.

211002120011111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 910266482.

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 211002120011111 its reverse (111110021200112), we get a palindrome (322112141211223).

The spelling of 211002120011111 in words is "two hundred eleven trillion, two billion, one hundred twenty million, eleven thousand, one hundred eleven".

Divisors: 1 11 13 143 1621 17831 21073 231803 910264837 10012913207 11833442881 130167871691 1475539300777 16230932308547 19182010910101 211002120011111