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21211000011 = 331783556763
BaseRepresentation
bin10011110000010001…
…100010110011001011
32000202020020102222000
4103300101202303023
5321420004000021
613424425202043
71350425345115
oct236021426313
960666212860
1021211000011
118aa5069283
12413b630323
132000550ba6
14105307a3b5
1584222ab26
hex4f0462ccb

21211000011 has 32 divisors (see below), whose sum is σ = 33673086720. Its totient is φ = 13148491392.

The previous prime is 21210999989. The next prime is 21211000073. The reversal of 21211000011 is 11000011212.

It is a happy number.

It is not a de Polignac number, because 21211000011 - 226 = 21143891147 is a prime.

It is a super-3 number, since 3×212110000113 (a number of 32 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 = 21210999957 and 21211000002.

It is not an unprimeable number, because it can be changed into a prime (21211000211) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 240285 + ... + 316478.

It is an arithmetic number, because the mean of its divisors is an integer number (1052283960).

Almost surely, 221211000011 is an apocalyptic number.

21211000011 is a deficient number, since it is larger than the sum of its proper divisors (12462086709).

21211000011 is a wasteful number, since it uses less digits than its factorization.

21211000011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 556872 (or 556866 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 21211000011 its reverse (11000011212), we get a palindrome (32211011223).

It can be divided in two parts, 212 and 11000011, that multiplied together give a palindrome (2332002332).

The spelling of 21211000011 in words is "twenty-one billion, two hundred eleven million, eleven", and thus it is an aban number.

Divisors: 1 3 9 17 27 51 83 153 249 459 747 1411 2241 4233 12699 38097 556763 1670289 5010867 9464971 15032601 28394913 46211329 85184739 138633987 255554217 415901961 785592593 1247705883 2356777779 7070333337 21211000011