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1321000122 = 231337289139
BaseRepresentation
bin100111010111100…
…1101110010111010
310102001200202111110
41032233031302322
510201134000442
6335025341150
744510213211
oct11657156272
93361622443
101321000122
11618740a42
1230a4977b6
131808ab6a0
14c762a078
157ae8c69c
hex4ebcdcba

1321000122 has 96 divisors (see below), whose sum is σ = 2978337600. Its totient is φ = 388219392.

The previous prime is 1321000081. The next prime is 1321000127. The reversal of 1321000122 is 2210001231.

It is a junction number, because it is equal to n+sod(n) for n = 1321000098 and 1321000107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1321000127) 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, 9503529 + ... + 9503667.

It is an arithmetic number, because the mean of its divisors is an integer number (31024350).

Almost surely, 21321000122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1321000122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1489168800).

1321000122 is an abundant number, since it is smaller than the sum of its proper divisors (1657337478).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1321000122 is a wasteful number, since it uses less digits than its factorization.

1321000122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 320 (or 283 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 1321000122 is about 36345.5653691066. The cubic root of 1321000122 is about 1097.2382847740.

Adding to 1321000122 its reverse (2210001231), we get a palindrome (3531001353).

It can be divided in two parts, 1 and 321000122, that added together give a palindrome (321000123).

The spelling of 1321000122 in words is "one billion, three hundred twenty-one million, one hundred twenty-two", and thus it is an aban number.

Divisors: 1 2 3 6 13 26 37 39 74 78 89 111 139 178 222 267 278 417 481 534 834 962 1157 1369 1443 1807 2314 2738 2886 3293 3471 3614 4107 5143 5421 6586 6942 8214 9879 10286 10842 12371 15429 17797 19758 24742 30858 35594 37113 42809 53391 66859 74226 85618 106782 121841 128427 133718 160823 190291 200577 243682 256854 321646 365523 380582 401154 457727 482469 570873 731046 915454 964938 1141746 1373181 1583933 2473783 2746362 3167866 4751799 4947566 5950451 7421349 9503598 11900902 14842698 16935899 17851353 33871798 35702706 50807697 101615394 220166687 440333374 660500061 1321000122