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122043340221 = 31117217546061
BaseRepresentation
bin111000110101001011…
…0011001010110111101
3102200000102002001022220
41301222112121112331
53444421043341341
6132022124155553
711550230163345
oct1615226312675
9380012061286
10122043340221
1147838313950
121b7a0098bb9
13b67c62771a
145c9a883d25
153294579a66
hex1c6a5995bd

122043340221 has 16 divisors (see below), whose sum is σ = 187959797568. Its totient is φ = 69614739200.

The previous prime is 122043340183. The next prime is 122043340229.

It is a happy number.

122043340221 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 122043340221 - 26 = 122043340157 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 122043340191 and 122043340200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122043340229) 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, 108772470 + ... + 108773591.

It is an arithmetic number, because the mean of its divisors is an integer number (11747487348).

Almost surely, 2122043340221 is an apocalyptic number.

122043340221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

122043340221 is a deficient number, since it is larger than the sum of its proper divisors (65916457347).

122043340221 is a wasteful number, since it uses less digits than its factorization.

122043340221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217546092.

The product of its (nonzero) digits is 2304, while the sum is 24.

It can be divided in two parts, 122043 and 340221, that added together give a palindrome (462264).

The spelling of 122043340221 in words is "one hundred twenty-two billion, forty-three million, three hundred forty thousand, two hundred twenty-one".

Divisors: 1 3 11 17 33 51 187 561 217546061 652638183 2393006671 3698283037 7179020013 11094849111 40681113407 122043340221