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1311243210 = 2325149277353
BaseRepresentation
bin100111000100111…
…1111101111001010
310101101100001112100
41032021333233022
510141134240320
6334040254230
744331245334
oct11611775712
93341301470
101311243210
11613187482
12307171376
1317b873674
14c620a454
157a1b1790
hex4e27fbca

1311243210 has 96 divisors (see below), whose sum is σ = 3454261200. Its totient is φ = 345083904.

The previous prime is 1311243173. The next prime is 1311243211. The reversal of 1311243210 is 123421131.

It can be written as a sum of positive squares in 8 ways, for example, as 93721761 + 1217521449 = 9681^2 + 34893^2 .

It is a super-2 number, since 2×13112432102 = 3438717511542208200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1311243211) 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, 3714394 + ... + 3714746.

Almost surely, 21311243210 is an apocalyptic number.

1311243210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1311243210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1727130600).

1311243210 is an abundant number, since it is smaller than the sum of its proper divisors (2143017990).

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

1311243210 is a wasteful number, since it uses less digits than its factorization.

1311243210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 792 (or 789 counting only the distinct ones).

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

The square root of 1311243210 is about 36211.0923613193. The cubic root of 1311243210 is about 1094.5302044240.

Adding to 1311243210 its reverse (123421131), we get a palindrome (1434664341).

The spelling of 1311243210 in words is "one billion, three hundred eleven million, two hundred forty-three thousand, two hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 149 277 298 353 447 554 706 745 831 894 1059 1341 1385 1490 1662 1765 2118 2235 2493 2682 2770 3177 3530 4155 4470 4986 5295 6354 6705 8310 10590 12465 13410 15885 24930 31770 41273 52597 82546 97781 105194 123819 157791 195562 206365 247638 262985 293343 315582 371457 412730 473373 488905 525970 586686 619095 742914 788955 880029 946746 977810 1238190 1466715 1577910 1760058 1857285 2366865 2933430 3714570 4400145 4733730 8800290 14569369 29138738 43708107 72846845 87416214 131124321 145693690 218540535 262248642 437081070 655621605 1311243210