Search a number
-
+
122140213031441 = 11241282971628203
BaseRepresentation
bin11011110001010111111100…
…000000101011001000010001
3121000110111020110011212212002
4123301113330000223020101
5112002121124014001231
61111434234513443345
734504224224612363
oct3361277400531021
9530414213155762
10122140213031441
1135a10412081880
1211847712270555
13531ca07720927
142223891562d33
15e1c231dd50cb
hex6f15fc02b211

122140213031441 has 16 divisors (see below), whose sum is σ = 133801558363968. Its totient is φ = 110571849100800.

The previous prime is 122140213031413. The next prime is 122140213031449. The reversal of 122140213031441 is 144130312041221.

It is a cyclic number.

It is not a de Polignac number, because 122140213031441 - 210 = 122140213030417 is a prime.

It is not an unprimeable number, because it can be changed into a prime (122140213031449) 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, 74201246 + ... + 75829448.

It is an arithmetic number, because the mean of its divisors is an integer number (8362597397748).

Almost surely, 2122140213031441 is an apocalyptic number.

122140213031441 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

122140213031441 is a deficient number, since it is larger than the sum of its proper divisors (11661345332527).

122140213031441 is a wasteful number, since it uses less digits than its factorization.

122140213031441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1656752.

The product of its (nonzero) digits is 4608, while the sum is 29.

Adding to 122140213031441 its reverse (144130312041221), we get a palindrome (266270525072662).

The spelling of 122140213031441 in words is "one hundred twenty-two trillion, one hundred forty billion, two hundred thirteen million, thirty-one thousand, four hundred forty-one".

Divisors: 1 11 241 2651 28297 311267 1628203 6819577 17910233 75015347 392396923 4316366153 46073260291 506805863201 11103655730131 122140213031441