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1320113300 = 2252113138713
BaseRepresentation
bin100111010101111…
…0101010010010100
310102000000201000012
41032223311102110
510200422111200
6334554335352
744466530552
oct11653652224
93360021005
101320113300
11618195730
1230a12a558
1318065ab3c
14c7478bd2
157ad64a35
hex4eaf5494

1320113300 has 72 divisors (see below), whose sum is σ = 3225960192. Its totient is φ = 464544000.

The previous prime is 1320113251. The next prime is 1320113303. The reversal of 1320113300 is 33110231.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1320113303) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14744 + ... + 53456.

Almost surely, 21320113300 is an apocalyptic number.

1320113300 is a gapful number since it is divisible by the number (10) 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 1320113300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1612980096).

1320113300 is an abundant number, since it is smaller than the sum of its proper divisors (1905846892).

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

1320113300 is a wasteful number, since it uses less digits than its factorization.

1320113300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38769 (or 38762 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 14.

The square root of 1320113300 is about 36333.3634556450. The cubic root of 1320113300 is about 1096.9926948705.

Adding to 1320113300 its reverse (33110231), we get a palindrome (1353223531).

The spelling of 1320113300 in words is "one billion, three hundred twenty million, one hundred thirteen thousand, three hundred".

Divisors: 1 2 4 5 10 11 20 22 25 31 44 50 55 62 100 110 124 155 220 275 310 341 550 620 682 775 1100 1364 1550 1705 3100 3410 6820 8525 17050 34100 38713 77426 154852 193565 387130 425843 774260 851686 967825 1200103 1703372 1935650 2129215 2400206 3871300 4258430 4800412 6000515 8516860 10646075 12001030 13201133 21292150 24002060 26402266 30002575 42584300 52804532 60005150 66005665 120010300 132011330 264022660 330028325 660056650 1320113300