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20110021100211 = 3719601643130423
BaseRepresentation
bin1001001001010001110101…
…01010100000001010110011
32122012111110221120111002010
410210220322222200022303
510113440310400201321
6110434225520054003
74143621032652660
oct444507252401263
978174427514063
1020110021100211
11645368070a039
122309559464303
13b2b49cc8aa73
144d748a174a67
1524d193c4a676
hex124a3aaa02b3

20110021100211 has 64 divisors (see below), whose sum is σ = 32360844615680. Its totient is φ = 10851527750400.

The previous prime is 20110021100189. The next prime is 20110021100261. The reversal of 20110021100211 is 11200112001102.

It is not a de Polignac number, because 20110021100211 - 25 = 20110021100179 is a prime.

It is not an unprimeable number, because it can be changed into a prime (20110021100261) 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 63 ways as a sum of consecutive naturals, for example, 154125546 + ... + 154255968.

It is an arithmetic number, because the mean of its divisors is an integer number (505638197120).

Almost surely, 220110021100211 is an apocalyptic number.

20110021100211 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

20110021100211 is a deficient number, since it is larger than the sum of its proper divisors (12250823515469).

20110021100211 is a wasteful number, since it uses less digits than its factorization.

20110021100211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131696.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 20110021100211 its reverse (11200112001102), we get a palindrome (31310133101313).

The spelling of 20110021100211 in words is "twenty trillion, one hundred ten billion, twenty-one million, one hundred thousand, two hundred eleven".

Divisors: 1 3 7 19 21 57 133 399 601 643 1803 1929 4207 4501 11419 12217 12621 13503 34257 36651 79933 85519 130423 239799 256557 386443 391269 912961 1159329 2478037 2705101 2738883 7342417 7434111 8115303 17346259 22027251 51396919 52038777 78384223 83861989 154190757 235152669 251585967 548689561 587033923 1489300237 1593377791 1646068683 1761101769 4467900711 4780133373 10425101659 11153644537 31275304977 33460933611 50401055389 151203166167 352807387723 957620052391 1058422163169 2872860157173 6703340366737 20110021100211