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1331303310 = 233522322111
BaseRepresentation
bin100111101011010…
…0001001110001110
310102210002012211000
41033112201032032
510211303201220
6340034241130
744663614521
oct11726411616
93383065730
101331303310
11623538977
12311a261a6
13182a7824c
14c8b4cbb8
157bd25390
hex4f5a138e

1331303310 has 64 divisors (see below), whose sum is σ = 3566223360. Its totient is φ = 353406240.

The previous prime is 1331303291. The next prime is 1331303329. The reversal of 1331303310 is 133031331.

1331303310 is a `hidden beast` number, since 1 + 331 + 3 + 0 + 331 + 0 = 666.

1331303310 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (1331303291) and next prime (1331303329).

It is a super-2 number, since 2×13313033102 = 3544737006433912200, 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 a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 49155 + ... + 71265.

It is an arithmetic number, because the mean of its divisors is an integer number (55722240).

Almost surely, 21331303310 is an apocalyptic number.

1331303310 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 1331303310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1783111680).

1331303310 is an abundant number, since it is smaller than the sum of its proper divisors (2234920050).

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

1331303310 is a wasteful number, since it uses less digits than its factorization.

1331303310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22350 (or 22344 counting only the distinct ones).

The product of its (nonzero) digits is 243, while the sum is 18.

The square root of 1331303310 is about 36487.0293392049. The cubic root of 1331303310 is about 1100.0835501276.

Adding to 1331303310 its reverse (133031331), we get a palindrome (1464334641).

The spelling of 1331303310 in words is "one billion, three hundred thirty-one million, three hundred three thousand, three hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 135 223 270 446 669 1115 1338 2007 2230 3345 4014 6021 6690 10035 12042 20070 22111 30105 44222 60210 66333 110555 132666 198999 221110 331665 397998 596997 663330 994995 1193994 1989990 2984985 4930753 5969970 9861506 14792259 24653765 29584518 44376777 49307530 73961295 88753554 133130331 147922590 221883885 266260662 443767770 665651655 1331303310