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1331140031 = 133122714551
BaseRepresentation
bin100111101010111…
…1001010110111111
310102202202220211122
41033111321112333
510211232440111
6340030541155
744662334504
oct11725712677
93382686748
101331140031
11623437231
123119677bb
13182a1bb30
14c8b094ab
157bce1cdb
hex4f5795bf

1331140031 has 16 divisors (see below), whose sum is σ = 1486399488. Its totient is φ = 1183788000.

The previous prime is 1331139983. The next prime is 1331140037. The reversal of 1331140031 is 1300411331.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1331140031 is a prime.

It is a super-2 number, since 2×13311400312 = 3543867564261361922, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1331139991 and 1331140009.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1331140037) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 84206 + ... + 98756.

It is an arithmetic number, because the mean of its divisors is an integer number (92899968).

Almost surely, 21331140031 is an apocalyptic number.

1331140031 is a deficient number, since it is larger than the sum of its proper divisors (155259457).

1331140031 is a wasteful number, since it uses less digits than its factorization.

1331140031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14822.

The product of its (nonzero) digits is 108, while the sum is 17.

The square root of 1331140031 is about 36484.7917768486. The cubic root of 1331140031 is about 1100.0385746803.

Adding to 1331140031 its reverse (1300411331), we get a palindrome (2631551362).

The spelling of 1331140031 in words is "one billion, three hundred thirty-one million, one hundred forty thousand, thirty-one".

Divisors: 1 13 31 227 403 2951 7037 14551 91481 189163 451081 3303077 5864053 42940001 102395387 1331140031