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122313331021 = 724673534173
BaseRepresentation
bin111000111101001110…
…0010101000101001101
3102200201020010000002011
41301322130111011031
54000444203043041
6132105011101221
711560016105500
oct1617234250515
9380636100064
10122313331021
1147966760a42
121b8565a1811
13b6c35492ab
145cc4685137
1532ad10be81
hex1c7a71514d

122313331021 has 12 divisors (see below), whose sum is σ = 142313568732. Its totient is φ = 104817366528.

The previous prime is 122313331009. The next prime is 122313331031. The reversal of 122313331021 is 120133313221.

It can be written as a sum of positive squares in 2 ways, for example, as 74139665796 + 48173665225 = 272286^2 + 219485^2 .

It is not a de Polignac number, because 122313331021 - 215 = 122313298253 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 122313330983 and 122313331001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122313331031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 38110 + ... + 496063.

It is an arithmetic number, because the mean of its divisors is an integer number (11859464061).

Almost surely, 2122313331021 is an apocalyptic number.

It is an amenable number.

122313331021 is a deficient number, since it is larger than the sum of its proper divisors (20000237711).

122313331021 is an equidigital number, since it uses as much as digits as its factorization.

122313331021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 538860 (or 538853 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 22.

Adding to 122313331021 its reverse (120133313221), we get a palindrome (242446644242).

The spelling of 122313331021 in words is "one hundred twenty-two billion, three hundred thirteen million, three hundred thirty-one thousand, twenty-one".

Divisors: 1 7 49 4673 32711 228977 534173 3739211 26174477 2496190429 17473333003 122313331021