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1310327120 = 24525396451
BaseRepresentation
bin100111000011010…
…0000000101010000
310101022121111220002
41032012200011100
510140420431440
6334004505132
744320411454
oct11606400520
93338544802
101310327120
11612711183
123069ab1a8
1317b6126bb
14c604c664
157a080115
hex4e1a0150

1310327120 has 40 divisors (see below), whose sum is σ = 3048182880. Its totient is φ = 523843200.

The previous prime is 1310327111. The next prime is 1310327129. The reversal of 1310327120 is 217230131.

It is an interprime number because it is at equal distance from previous prime (1310327111) and next prime (1310327129).

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×13103271202 = 3433914322814988800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 1310327092 and 1310327101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1310327129) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 199895 + ... + 206345.

It is an arithmetic number, because the mean of its divisors is an integer number (76204572).

Almost surely, 21310327120 is an apocalyptic number.

1310327120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1310327120 is an abundant number, since it is smaller than the sum of its proper divisors (1737855760).

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

1310327120 is a wasteful number, since it uses less digits than its factorization.

1310327120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9003 (or 8997 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 20.

The square root of 1310327120 is about 36198.4408504013. The cubic root of 1310327120 is about 1094.2752499998.

Adding to 1310327120 its reverse (217230131), we get a palindrome (1527557251).

The spelling of 1310327120 in words is "one billion, three hundred ten million, three hundred twenty-seven thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 2539 5078 6451 10156 12695 12902 20312 25390 25804 32255 40624 50780 51608 64510 101560 103216 129020 203120 258040 516080 16379089 32758178 65516356 81895445 131032712 163790890 262065424 327581780 655163560 1310327120