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21010111101012 = 223111235811287961
BaseRepresentation
bin1001100011011110011000…
…01101010111100001010100
32202101112202202201002012110
410301233030031113201110
510223212201420213022
6112403524540351020
74265634065511345
oct461571415274124
982345682632173
1021010111101012
116770379a90860
122433a97845470
13b95325299287
14528c754a80cc
152667c410400c
hex131bcc357854

21010111101012 has 48 divisors (see below), whose sum is σ = 53480757081024. Its totient is φ = 6366643872000.

The previous prime is 21010111100989. The next prime is 21010111101013.

21010111101012 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21010111101013) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15668712 + ... + 16956672.

It is an arithmetic number, because the mean of its divisors is an integer number (1114182439188).

Almost surely, 221010111101012 is an apocalyptic number.

21010111101012 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

21010111101012 is an abundant number, since it is smaller than the sum of its proper divisors (32470645980012).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

21010111101012 is a wasteful number, since it uses less digits than its factorization.

21010111101012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1411560 (or 1411558 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 12.

It can be divided in two parts, 2101011 and 1101012, that multiplied together give a palindrome (2313238323132).

The spelling of 21010111101012 in words is "twenty-one trillion, ten billion, one hundred eleven million, one hundred one thousand, twelve".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 123581 247162 370743 494324 741486 1287961 1359391 1482972 2575922 2718782 3863883 4078173 5151844 5437564 7727766 8156346 14167571 15455532 16312692 28335142 42502713 56670284 85005426 170010852 159167508341 318335016682 477502525023 636670033364 955005050046 1750842591751 1910010100092 3501685183502 5252527775253 7003370367004 10505055550506 21010111101012