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10122130323 = 323153977057
BaseRepresentation
bin10010110110101001…
…10111001110010011
3222010102120111102200
421123110313032103
5131212231132243
64352224214243
7505556455014
oct113324671623
928112514380
1010122130323
114324751368
121b65a6a383
13c540abc36
146c047500b
153e3984ad3
hex25b537393

10122130323 has 48 divisors (see below), whose sum is σ = 15537989376. Its totient is φ = 6340239360.

The previous prime is 10122130313. The next prime is 10122130363. The reversal of 10122130323 is 32303122101.

10122130323 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10122130323 - 216 = 10122064787 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10122130296 and 10122130305.

It is not an unprimeable number, because it can be changed into a prime (10122130313) 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 47 ways as a sum of consecutive naturals, for example, 1430811 + ... + 1437867.

It is an arithmetic number, because the mean of its divisors is an integer number (323708112).

Almost surely, 210122130323 is an apocalyptic number.

10122130323 is a deficient number, since it is larger than the sum of its proper divisors (5415859053).

10122130323 is a wasteful number, since it uses less digits than its factorization.

10122130323 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7244 (or 7241 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 10122130323 its reverse (32303122101), we get a palindrome (42425252424).

The spelling of 10122130323 in words is "ten billion, one hundred twenty-two million, one hundred thirty thousand, three hundred twenty-three".

Divisors: 1 3 9 31 53 93 97 159 279 291 477 873 1643 3007 4929 5141 7057 9021 14787 15423 21171 27063 46269 63513 159371 218767 374021 478113 656301 684529 1122063 1434339 1968903 2053587 3366189 6160761 11594651 21220399 34783953 36280037 63661197 104351859 108840111 190983591 326520333 1124681147 3374043441 10122130323