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212211021121101 = 32293730197278847
BaseRepresentation
bin110000010000000100111010…
…100010000000011001001101
31000211101011201221011210210200
4300100010322202000121031
5210303331132401333401
62031200221450324113
762461511634265452
oct6020047242003115
91024334657153720
10212211021121101
11616872091027a2
121b973b01729639
13915454b3aba62
143a590d52d1829
151980167c96686
hexc1013a88064d

212211021121101 has 48 divisors (see below), whose sum is σ = 325775032627200. Its totient is φ = 132859786114944.

The previous prime is 212211021121061. The next prime is 212211021121153. The reversal of 212211021121101 is 101121120112212.

It is a happy number.

212211021121101 is a `hidden beast` number, since 21 + 221 + 1 + 0 + 211 + 211 + 0 + 1 = 666.

It is not a de Polignac number, because 212211021121101 - 26 = 212211021121037 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212211021120101) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 25515060 + ... + 32793906.

It is an arithmetic number, because the mean of its divisors is an integer number (6786979846400).

Almost surely, 2212211021121101 is an apocalyptic number.

It is an amenable number.

212211021121101 is a deficient number, since it is larger than the sum of its proper divisors (113564011506099).

212211021121101 is a wasteful number, since it uses less digits than its factorization.

212211021121101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7281938 (or 7281935 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 212211021121101 its reverse (101121120112212), we get a palindrome (313332141233313).

The spelling of 212211021121101 in words is "two hundred twelve trillion, two hundred eleven billion, twenty-one million, one hundred twenty-one thousand, one hundred one".

Divisors: 1 3 9 29 37 87 111 261 333 1073 3019 3219 9057 9657 27171 87551 111703 262653 335109 787959 1005327 3239387 7278847 9718161 21836541 29154483 65509623 211086563 269317339 633259689 807952017 1899779067 2423856051 7810202831 21974839093 23430608493 65924517279 70291825479 197773551837 637270333697 813069046441 1911811001091 2439207139323 5735433003273 7317621417969 23579002346789 70737007040367 212211021121101