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20011311 = 3223277349
BaseRepresentation
bin100110001010…
…1100100101111
31101122200100200
41030111210233
520110330221
61552524543
7332044005
oct114254457
941580320
1020011311
1110328881
126850753
1341b8618
14292ca75
151b54426
hex131592f

20011311 has 24 divisors (see below), whose sum is σ = 30357600. Its totient is φ = 12678336.

The previous prime is 20011309. The next prime is 20011319. The reversal of 20011311 is 11311002.

It is not a de Polignac number, because 20011311 - 21 = 20011309 is a prime.

It is a super-3 number, since 3×200113113 (a number of 23 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 20011293 and 20011302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20011319) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 57165 + ... + 57513.

It is an arithmetic number, because the mean of its divisors is an integer number (1264900).

Almost surely, 220011311 is an apocalyptic number.

20011311 is a deficient number, since it is larger than the sum of its proper divisors (10346289).

20011311 is a wasteful number, since it uses less digits than its factorization.

20011311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 655 (or 652 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

The square root of 20011311 is about 4473.4003844950. The cubic root of 20011311 is about 271.4929233120.

Adding to 20011311 its reverse (11311002), we get a palindrome (31322313).

It can be divided in two parts, 200 and 11311, that added together give a palindrome (11511).

The spelling of 20011311 in words is "twenty million, eleven thousand, three hundred eleven".

Divisors: 1 3 9 23 69 207 277 349 831 1047 2493 3141 6371 8027 19113 24081 57339 72243 96673 290019 870057 2223479 6670437 20011311