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212122222010001 = 3410125928642221
BaseRepresentation
bin110000001110110010001101…
…101100010001111010010001
31000211001200112100222120120000
4300032302031230101322101
5210300402302313310001
62031051334205240213
762452216256301642
oct6016621554217221
91024050470876500
10212122222010001
1161652590345276
121b95a85ab63069
139149069302734
143a54aadab56c9
15197cbbc07da86
hexc0ec8db11e91

212122222010001 has 20 divisors (see below), whose sum is σ = 320011302303924. Its totient is φ = 140014667988000.

The previous prime is 212122222009987. The next prime is 212122222010051. The reversal of 212122222010001 is 100010222221212.

It is a happy number.

212122222010001 is a `hidden beast` number, since 2 + 121 + 222 + 220 + 100 + 0 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 180961711744401 + 31160510265600 = 13452201^2 + 5582160^2 .

It is not a de Polignac number, because 212122222010001 - 211 = 212122222007953 is a prime.

It is not an unprimeable number, because it can be changed into a prime (212122222010051) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 12964312930 + ... + 12964329291.

Almost surely, 2212122222010001 is an apocalyptic number.

It is an amenable number.

212122222010001 is a deficient number, since it is larger than the sum of its proper divisors (107889080293923).

212122222010001 is a wasteful number, since it uses less digits than its factorization.

212122222010001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25928642334 (or 25928642325 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 212122222010001 its reverse (100010222221212), we get a palindrome (312132444231213).

The spelling of 212122222010001 in words is "two hundred twelve trillion, one hundred twenty-two billion, two hundred twenty-two million, ten thousand, one".

Divisors: 1 3 9 27 81 101 303 909 2727 8181 25928642221 77785926663 233357779989 700073339967 2100220019901 2618792864321 7856378592963 23569135778889 70707407336667 212122222010001