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1311232050 = 234525692
BaseRepresentation
bin100111000100111…
…1101000000110010
310101101022111020000
41032021331000302
510141133411200
6334040130430
744331200652
oct11611750062
93341274200
101311232050
1161317a057
12307166a16
1317b86b56b
14c6206362
157a1ad300
hex4e27d032

1311232050 has 90 divisors (see below), whose sum is σ = 3649696743. Its totient is φ = 349047360.

The previous prime is 1311232037. The next prime is 1311232057. The reversal of 1311232050 is 502321131.

It can be written as a sum of positive squares in 5 ways, for example, as 97476129 + 1213755921 = 9873^2 + 34839^2 .

It is a tau number, because it is divible by the number of its divisors (90).

It is an ABA number since it can be written as A⋅BA, here for A=2, B=25605.

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

It is not an unprimeable number, because it can be changed into a prime (1311232057) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 2304166 + ... + 2304734.

Almost surely, 21311232050 is an apocalyptic number.

1311232050 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 1311232050

1311232050 is an abundant number, since it is smaller than the sum of its proper divisors (2338464693).

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

1311232050 is an frugal number, since it uses more digits than its factorization.

1311232050 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1162 (or 579 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 1311232050 is about 36210.9382645631. The cubic root of 1311232050 is about 1094.5270992304.

Multiplying 1311232050 by its sum of digits (18), we get a square (23602176900 = 1536302).

1311232050 divided by its sum of digits (18) gives a square (72846225 = 85352).

Adding to 1311232050 its reverse (502321131), we get a palindrome (1813553181).

The spelling of 1311232050 in words is "one billion, three hundred eleven million, two hundred thirty-two thousand, fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 27 30 45 50 54 75 81 90 135 150 162 225 270 405 450 569 675 810 1138 1350 1707 2025 2845 3414 4050 5121 5690 8535 10242 14225 15363 17070 25605 28450 30726 42675 46089 51210 76815 85350 92178 128025 153630 230445 256050 323761 384075 460890 647522 768150 971283 1152225 1618805 1942566 2304450 2913849 3237610 4856415 5827698 8094025 8741547 9712830 14569245 16188050 17483094 24282075 26224641 29138490 43707735 48564150 52449282 72846225 87415470 131123205 145692450 218538675 262246410 437077350 655616025 1311232050