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1300211052 = 223731539421
BaseRepresentation
bin100110101111111…
…1010010101101100
310100121120120020220
41031133322111230
510130323223202
6333004011340
744135416530
oct11537722554
93317516226
101300211052
11607a31898
12303530b50
131794b006a
14c4977bc0
1579232abc
hex4d7fa56c

1300211052 has 96 divisors (see below), whose sum is σ = 3646992384. Its totient is φ = 352684800.

The previous prime is 1300211009. The next prime is 1300211053. The reversal of 1300211052 is 2501120031.

It is not an unprimeable number, because it can be changed into a prime (1300211053) 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 31 ways as a sum of consecutive naturals, for example, 133302 + ... + 142722.

It is an arithmetic number, because the mean of its divisors is an integer number (37989504).

Almost surely, 21300211052 is an apocalyptic number.

1300211052 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1300211052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1823496192).

1300211052 is an abundant number, since it is smaller than the sum of its proper divisors (2346781332).

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

1300211052 is a wasteful number, since it uses less digits than its factorization.

1300211052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9519 (or 9517 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 15.

The square root of 1300211052 is about 36058.4394005065. The cubic root of 1300211052 is about 1091.4519415705.

Adding to 1300211052 its reverse (2501120031), we get a palindrome (3801331083).

The spelling of 1300211052 in words is "one billion, three hundred million, two hundred eleven thousand, fifty-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 31 42 53 62 84 93 106 124 159 186 212 217 318 371 372 434 636 651 742 868 1113 1302 1484 1643 2226 2604 3286 4452 4929 6572 9421 9858 11501 18842 19716 23002 28263 34503 37684 46004 56526 65947 69006 113052 131894 138012 197841 263788 292051 395682 499313 584102 791364 876153 998626 1168204 1497939 1752306 1997252 2044357 2995878 3495191 3504612 4088714 5991756 6133071 6990382 8177428 10485573 12266142 13980764 15478703 20971146 24532284 30957406 41942292 46436109 61914812 92872218 108350921 185744436 216701842 325052763 433403684 650105526 1300211052