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212120201011101 = 35211553483118089
BaseRepresentation
bin110000001110110000010101…
…001110110001111110011101
31000211001111022112010012020220
4300032300111032301332131
5210300334132424323401
62031050401452231553
762452115216140605
oct6016602516617635
91024044275105226
10212120201011101
1161651743565949
121b95a39616b5b9
139148b066b53b6
143a5495b511c05
15197caee91e336
hexc0ec153b1f9d

212120201011101 has 32 divisors (see below), whose sum is σ = 283626627701760. Its totient is φ = 141014163763200.

The previous prime is 212120201011097. The next prime is 212120201011123. The reversal of 212120201011101 is 101110102021212.

It is a happy number.

It is not a de Polignac number, because 212120201011101 - 22 = 212120201011097 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212120201011181) 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, 11726465665 + ... + 11726483753.

It is an arithmetic number, because the mean of its divisors is an integer number (8863332115680).

Almost surely, 2212120201011101 is an apocalyptic number.

It is an amenable number.

212120201011101 is a deficient number, since it is larger than the sum of its proper divisors (71506426690659).

212120201011101 is a wasteful number, since it uses less digits than its factorization.

212120201011101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24997.

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 212120201011101 its reverse (101110102021212), we get a palindrome (313230303032313).

The spelling of 212120201011101 in words is "two hundred twelve trillion, one hundred twenty billion, two hundred one million, eleven thousand, one hundred one".

Divisors: 1 3 521 1553 1563 4659 4831 14493 18089 54267 809113 2427339 2516951 7502543 7550853 9424369 22507629 28092217 28273107 84276651 87387959 262163877 3908824903 11726474709 14636045057 43908135171 45529126639 135713500327 136587379917 407140500981 70706733670367 212120201011101