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122211022221 = 32101371936151
BaseRepresentation
bin111000111010001011…
…0000011010110001101
3102200110002121011210100
41301310112003112031
54000242010202341
6132050514201313
711554334356221
oct1616426032615
9380402534710
10122211022221
1147913a32912
121b828283239
13b6a82a7942
145cb4c52781
1532a414d3b6
hex1c7458358d

122211022221 has 24 divisors (see below), whose sum is σ = 178327693440. Its totient is φ = 80643420000.

The previous prime is 122211022211. The next prime is 122211022229. The reversal of 122211022221 is 122220112221.

It is a happy number.

It is a de Polignac number, because none of the positive numbers 2k-122211022221 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 122211022194 and 122211022203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122211022229) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3362496 + ... + 3398646.

It is an arithmetic number, because the mean of its divisors is an integer number (7430320560).

Almost surely, 2122211022221 is an apocalyptic number.

It is an amenable number.

122211022221 is a deficient number, since it is larger than the sum of its proper divisors (56116671219).

122211022221 is a wasteful number, since it uses less digits than its factorization.

122211022221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39977 (or 39974 counting only the distinct ones).

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

Adding to 122211022221 its reverse (122220112221), we get a palindrome (244431134442).

The spelling of 122211022221 in words is "one hundred twenty-two billion, two hundred eleven million, twenty-two thousand, two hundred twenty-one".

Divisors: 1 3 9 101 303 909 3719 11157 33471 36151 108453 325359 375619 1126857 3380571 3651251 10953753 32861259 134445569 403336707 1210010121 13579002469 40737007407 122211022221