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21211200211212 = 22321153563636897
BaseRepresentation
bin1001101001010100111100…
…00011011100100100001100
32210002202211000100022000200
410310222132003130210030
510240011014223224322
6113040142454053500
74316313212654634
oct464523603344414
983082730308020
1021211200211212
11683868a5a9630
122466a5804a290
13bab29112554b
145348b00916c4
1526bb42eac8ac
hex134a9e0dc90c

21211200211212 has 36 divisors (see below), whose sum is σ = 58491491492616. Its totient is φ = 6427636427520.

The previous prime is 21211200211147. The next prime is 21211200211219.

21211200211212 is a `hidden beast` number, since 2 + 121 + 120 + 0 + 211 + 212 = 666.

21211200211212 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (21211200211219) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 26781818053 + ... + 26781818844.

Almost surely, 221211200211212 is an apocalyptic number.

21211200211212 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

21211200211212 is an abundant number, since it is smaller than the sum of its proper divisors (37280291281404).

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

21211200211212 is a wasteful number, since it uses less digits than its factorization.

21211200211212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53563636918 (or 53563636913 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

It can be divided in two parts, 21211200 and 211212, that added together give a palindrome (21422412).

The spelling of 21211200211212 in words is "twenty-one trillion, two hundred eleven billion, two hundred million, two hundred eleven thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 396 53563636897 107127273794 160690910691 214254547588 321381821382 482072732073 589200005867 642763642764 964145464146 1178400011734 1767600017601 1928290928292 2356800023468 3535200035202 5302800052803 7070400070404 10605600105606 21211200211212