Search a number
-
+
122313120021 = 32172425311057
BaseRepresentation
bin111000111101001101…
…1100001100100010101
3102200201012201021122100
41301322123201210111
54000444124320041
6132105002352313
711560014236361
oct1617233414425
9380635637570
10122313120021
1147966627464
121b8564bb699
13b6c34a4241
145cc462c2a1
1532ad0b96b6
hex1c7a6e1915

122313120021 has 36 divisors (see below), whose sum is σ = 187739561412. Its totient is φ = 76720502784.

The previous prime is 122313120019. The next prime is 122313120031. The reversal of 122313120021 is 120021313221.

It can be written as a sum of positive squares in 6 ways, for example, as 1288451025 + 121024668996 = 35895^2 + 347886^2 .

It is not a de Polignac number, because 122313120021 - 21 = 122313120019 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 122313119976 and 122313120003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122313120031) 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 35 ways as a sum of consecutive naturals, for example, 11056525 + ... + 11067581.

It is an arithmetic number, because the mean of its divisors is an integer number (5214987817).

Almost surely, 2122313120021 is an apocalyptic number.

It is an amenable number.

122313120021 is a deficient number, since it is larger than the sum of its proper divisors (65426441391).

122313120021 is a wasteful number, since it uses less digits than its factorization.

122313120021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15350 (or 15330 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 122313120021 its reverse (120021313221), we get a palindrome (242334433242).

The spelling of 122313120021 in words is "one hundred twenty-two billion, three hundred thirteen million, one hundred twenty thousand, twenty-one".

Divisors: 1 3 9 17 51 153 289 867 2601 4253 11057 12759 33171 38277 72301 99513 187969 216903 563907 650709 1229117 1691721 3195473 3687351 9586419 11062053 28759257 47025421 141076263 423228789 799432157 2398296471 7194889413 13590346669 40771040007 122313120021