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1331310040 = 23583400997
BaseRepresentation
bin100111101011010…
…0010110111011000
310102210002120001021
41033112202313120
510211303410130
6340034332224
744663643244
oct11726426730
93383076037
101331310040
11623542a35
12311a2a074
13182a7b328
14c8b51424
157bd2737a
hex4f5a2dd8

1331310040 has 32 divisors (see below), whose sum is σ = 3031544880. Its totient is φ = 526106752.

The previous prime is 1331310023. The next prime is 1331310053. The reversal of 1331310040 is 400131331.

It is a junction number, because it is equal to n+sod(n) for n = 1331309996 and 1331310023.

It is a congruent number.

It is an unprimeable number.

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, 197179 + ... + 203818.

Almost surely, 21331310040 is an apocalyptic number.

1331310040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1331310040 is an abundant number, since it is smaller than the sum of its proper divisors (1700234840).

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

1331310040 is a wasteful number, since it uses less digits than its factorization.

1331310040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 401091 (or 401087 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

The square root of 1331310040 is about 36487.1215636422. The cubic root of 1331310040 is about 1100.0854038374.

Adding to 1331310040 its reverse (400131331), we get a palindrome (1731441371).

The spelling of 1331310040 in words is "one billion, three hundred thirty-one million, three hundred ten thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 83 166 332 415 664 830 1660 3320 400997 801994 1603988 2004985 3207976 4009970 8019940 16039880 33282751 66565502 133131004 166413755 266262008 332827510 665655020 1331310040