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2116331312211 = 33833678393067
BaseRepresentation
bin11110110010111111001…
…011010001010001010011
321111022121202201210221000
4132302333023101101103
5234133221303442321
64300121300433043
7305620443225504
oct36627713212123
97438552653830
102116331312211
11746592942526
122a21ab0a8783
1312475266c15c
1474606886bab
153a0b5d54826
hex1ecbf2d1453

2116331312211 has 64 divisors (see below), whose sum is σ = 3186557337600. Its totient is φ = 1387981290528.

The previous prime is 2116331312119. The next prime is 2116331312257. The reversal of 2116331312211 is 1122131336112.

2116331312211 is a `hidden beast` number, since 2 + 1 + 1 + 6 + 331 + 312 + 2 + 11 = 666.

It is not a de Polignac number, because 2116331312211 - 210 = 2116331311187 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (2116331312261) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 690031500 + ... + 690034566.

It is an arithmetic number, because the mean of its divisors is an integer number (49789958400).

Almost surely, 22116331312211 is an apocalyptic number.

2116331312211 is a deficient number, since it is larger than the sum of its proper divisors (1070226025389).

2116331312211 is a wasteful number, since it uses less digits than its factorization.

2116331312211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4365 (or 4359 counting only the distinct ones).

The product of its digits is 1296, while the sum is 27.

Adding to 2116331312211 its reverse (1122131336112), we get a palindrome (3238462648323).

The spelling of 2116331312211 in words is "two trillion, one hundred sixteen billion, three hundred thirty-one million, three hundred twelve thousand, two hundred eleven".

Divisors: 1 3 9 27 83 249 367 747 839 1101 2241 2517 3067 3303 7551 9201 9909 22653 27603 30461 69637 82809 91383 208911 254561 274149 307913 626733 763683 822447 923739 1125589 1880199 2291049 2573213 2771217 3376767 6873147 7719639 8313651 10130301 23158917 25556779 30390903 69476751 76670337 93423887 213576679 230011011 280271661 640730037 690033033 840814983 944369171 1922190111 2522444949 2833107513 5766570333 8499322539 25497967617 78382641193 235147923579 705443770737 2116331312211