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122211211001 = 11457148716349
BaseRepresentation
bin111000111010001011…
…0110001011011111001
3102200110002221202202012
41301310112301123321
54000242032223001
6132050522215305
711554336103465
oct1616426613371
9380402852665
10122211211001
1147914051730
121b828354535
13b6a8342849
145cb4ca14a5
1532a41892bb
hex1c745b16f9

122211211001 has 16 divisors (see below), whose sum is σ = 133711084800. Its totient is φ = 110776663680.

The previous prime is 122211210977. The next prime is 122211211009. The reversal of 122211211001 is 100112112221.

It is a cyclic number.

It is not a de Polignac number, because 122211211001 - 210 = 122211209977 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (122211211009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7466975 + ... + 7483323.

It is an arithmetic number, because the mean of its divisors is an integer number (8356942800).

Almost surely, 2122211211001 is an apocalyptic number.

122211211001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

122211211001 is a deficient number, since it is larger than the sum of its proper divisors (11499873799).

122211211001 is a wasteful number, since it uses less digits than its factorization.

122211211001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18304.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 122211211001 its reverse (100112112221), we get a palindrome (222323323222).

The spelling of 122211211001 in words is "one hundred twenty-two billion, two hundred eleven million, two hundred eleven thousand, one".

Divisors: 1 11 457 1487 5027 16349 16357 179839 679559 7471493 7475149 24310963 82186423 267420593 11110110091 122211211001