Search a number
-
+
122221021021 = 1122958782657
BaseRepresentation
bin111000111010011110…
…0001100011101011101
3102200110210102011120021
41301310330030131131
54000302040133041
6132051512352141
711554515352231
oct1616474143535
9380423364507
10122221021021
1147919642090
121b82b6a5651
13b6aa398aa8
145cb62d65c1
1532a4e75cd1
hex1c74f0c75d

122221021021 has 16 divisors (see below), whose sum is σ = 134144015040. Its totient is φ = 110435028480.

The previous prime is 122221021009. The next prime is 122221021057. The reversal of 122221021021 is 120120122221.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 122221021021 - 25 = 122221020989 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 122221020986 and 122221021004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122221021621) 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, 1437325 + ... + 1519981.

It is an arithmetic number, because the mean of its divisors is an integer number (8384000940).

Almost surely, 2122221021021 is an apocalyptic number.

122221021021 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

122221021021 is a deficient number, since it is larger than the sum of its proper divisors (11922994019).

122221021021 is a wasteful number, since it uses less digits than its factorization.

122221021021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83484.

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 122221021021 its reverse (120120122221), we get a palindrome (242341143242).

The spelling of 122221021021 in words is "one hundred twenty-two billion, two hundred twenty-one million, twenty-one thousand, twenty-one".

Divisors: 1 11 229 587 2519 6457 82657 134423 909227 1478653 18928453 48519659 208212983 533716249 11111001911 122221021021