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21211011011212 = 221131101153966283
BaseRepresentation
bin1001101001010100100101…
…10001101101001010001100
32210002202022211022221102021
410310222102301231022030
510240010122304324322
6113040112014535524
74316305424541301
oct464522261551214
983082284287367
1021211011011212
1168385a28228a0
122466a048075a4
13bab260b7cc99
14534892cc10a8
1526bb315884c7
hex134a92c6d28c

21211011011212 has 48 divisors (see below), whose sum is σ = 42213859881984. Its totient is φ = 9237976920000.

The previous prime is 21211011011209. The next prime is 21211011011263.

21211011011212 is nontrivially palindromic in base 10.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 76845378 + ... + 77120905.

It is an arithmetic number, because the mean of its divisors is an integer number (879455414208).

Almost surely, 221211011011212 is an apocalyptic number.

21211011011212 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

21211011011212 is a deficient number, since it is larger than the sum of its proper divisors (21002848870772).

21211011011212 is a wasteful number, since it uses less digits than its factorization.

21211011011212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153966430 (or 153966428 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 16.

It can be divided in two parts, 2121101 and 1011212, that added together give a palindrome (3132313).

The spelling of 21211011011212 in words is "twenty-one trillion, two hundred eleven billion, eleven million, eleven thousand, two hundred twelve".

Divisors: 1 2 4 11 22 31 44 62 101 124 202 341 404 682 1111 1364 2222 3131 4444 6262 12524 34441 68882 137764 153966283 307932566 615865132 1693629113 3387258226 4772954773 6774516452 9545909546 15550594583 19091819092 31101189166 52502502503 62202378332 105005005006 171056540413 210010010012 342113080826 482068432073 684226161652 964136864146 1928273728292 5302752752803 10605505505606 21211011011212