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1331165320 = 235157211969
BaseRepresentation
bin100111101010111…
…1111100010001000
310102202211012112021
41033111333202020
510211234242240
6340031254224
744662501312
oct11725774210
93382735467
101331165320
11623454231
1231197a374
13182a2a4b4
14c8b147b2
157bce954a
hex4f57f888

1331165320 has 32 divisors (see below), whose sum is σ = 3014213400. Its totient is φ = 529072128.

The previous prime is 1331165309. The next prime is 1331165323. The reversal of 1331165320 is 235611331.

It can be written as a sum of positive squares in 4 ways, for example, as 578979844 + 752185476 = 24062^2 + 27426^2 .

It is a super-2 number, since 2×13311653202 = 3544002218341404800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1331165323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 99705 + ... + 112264.

Almost surely, 21331165320 is an apocalyptic number.

1331165320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1331165320 is an abundant number, since it is smaller than the sum of its proper divisors (1683048080).

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

1331165320 is a wasteful number, since it uses less digits than its factorization.

1331165320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212137 (or 212133 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 25.

The square root of 1331165320 is about 36485.1383442629. The cubic root of 1331165320 is about 1100.0455408143.

Adding to 1331165320 its reverse (235611331), we get a palindrome (1566776651).

The spelling of 1331165320 in words is "one billion, three hundred thirty-one million, one hundred sixty-five thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 157 314 628 785 1256 1570 3140 6280 211969 423938 847876 1059845 1695752 2119690 4239380 8478760 33279133 66558266 133116532 166395665 266233064 332791330 665582660 1331165320