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1331322000431 = 53349494314561
BaseRepresentation
bin10011010111111000111…
…110011001010000101111
311201021101010012221021012
4103113320332121100233
5133303021413003211
62455333442455435
7165120254201033
oct23277076312057
94637333187235
101331322000431
1147367961a765
1219602906457b
139870a32b2c7
14486174001c3
152496db37d8b
hex135f8f9942f

1331322000431 has 16 divisors (see below), whose sum is σ = 1360696579200. Its totient is φ = 1302107089920.

The previous prime is 1331322000427. The next prime is 1331322000443. The reversal of 1331322000431 is 1340002231331.

It is a cyclic number.

It is not a de Polignac number, because 1331322000431 - 22 = 1331322000427 is a prime.

It is a super-2 number, since 2×13313220004312 (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1331322000397 and 1331322000406.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1331322002431) 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, 91423391 + ... + 91437951.

It is an arithmetic number, because the mean of its divisors is an integer number (85043536200).

Almost surely, 21331322000431 is an apocalyptic number.

1331322000431 is a deficient number, since it is larger than the sum of its proper divisors (29374578769).

1331322000431 is a wasteful number, since it uses less digits than its factorization.

1331322000431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19906.

The product of its (nonzero) digits is 1296, while the sum is 23.

Adding to 1331322000431 its reverse (1340002231331), we get a palindrome (2671324231762).

The spelling of 1331322000431 in words is "one trillion, three hundred thirty-one billion, three hundred twenty-two million, four hundred thirty-one", and thus it is an aban number.

Divisors: 1 53 349 4943 14561 18497 261979 771733 1725107 5081789 71975023 91430671 269334817 3814676219 25119283027 1331322000431