Search a number
-
+
122102102022111 = 338379939681589
BaseRepresentation
bin11011110000110100011100…
…011010101101011111011111
3121000022211212102121000102000
4123300310130122231133133
5112001010101104201421
61111404533054333343
734501404625436121
oct3360643432553737
9530284772530360
10122102102022111
11359a623543a452
1211840256aba253
135319242b18b33
142221ab7bd5211
15e1b251184226
hex6f0d1c6ad7df

122102102022111 has 32 divisors (see below), whose sum is σ = 183073983456000. Its totient is φ = 80419537558944.

The previous prime is 122102102022091. The next prime is 122102102022137. The reversal of 122102102022111 is 111220201201221.

122102102022111 is a `hidden beast` number, since 1 + 2 + 210 + 210 + 20 + 221 + 1 + 1 = 666.

It is not a de Polignac number, because 122102102022111 - 222 = 122102097827807 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122102102026111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 178802505 + ... + 179484093.

It is an arithmetic number, because the mean of its divisors is an integer number (5721061983000).

Almost surely, 2122102102022111 is an apocalyptic number.

122102102022111 is a deficient number, since it is larger than the sum of its proper divisors (60971881433889).

122102102022111 is an equidigital number, since it uses as much as digits as its factorization.

122102102022111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 761620 (or 761614 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 122102102022111 its reverse (111220201201221), we get a palindrome (233322303223332).

The spelling of 122102102022111 in words is "one hundred twenty-two trillion, one hundred two billion, one hundred two million, twenty-two thousand, one hundred eleven".

Divisors: 1 3 9 27 83 249 747 2241 79939 239817 681589 719451 2044767 2158353 6134301 6634937 18402903 19904811 56571887 59714433 169715661 179143299 509146983 1527440949 54485543071 163456629213 490369887639 1471109662917 4522300074893 13566900224679 40700700674037 122102102022111