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1331032411413 = 33103823581551
BaseRepresentation
bin10011010111100111101…
…101101100110100010101
311201020121221022021211000
4103113213231230310111
5133301423244131123
62455245015533513
7165110136552135
oct23274755546425
94636557267730
101331032411413
114735401071a1
12195b6808a299
1398692337163
14485cab7aac5
15249534d3b43
hex135e7b6cd15

1331032411413 has 32 divisors (see below), whose sum is σ = 1993467207680. Its totient is φ = 877670607600.

The previous prime is 1331032411339. The next prime is 1331032411507. The reversal of 1331032411413 is 3141142301331.

1331032411413 is a `hidden beast` number, since 1 + 3 + 3 + 1 + 0 + 3 + 241 + 1 + 413 = 666.

It is not a de Polignac number, because 1331032411413 - 213 = 1331032403221 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1331032461413) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1997988 + ... + 2579538.

It is an arithmetic number, because the mean of its divisors is an integer number (62295850240).

Almost surely, 21331032411413 is an apocalyptic number.

It is an amenable number.

1331032411413 is a deficient number, since it is larger than the sum of its proper divisors (662434796267).

1331032411413 is a wasteful number, since it uses less digits than its factorization.

1331032411413 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 582486 (or 582480 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

Adding to 1331032411413 its reverse (3141142301331), we get a palindrome (4472174712744).

The spelling of 1331032411413 in words is "one trillion, three hundred thirty-one billion, thirty-two million, four hundred eleven thousand, four hundred thirteen".

Divisors: 1 3 9 27 103 309 823 927 2469 2781 7407 22221 84769 254307 581551 762921 1744653 2288763 5233959 15701877 59899753 179699259 478616473 539097777 1435849419 1617293331 4307548257 12922644771 49297496719 147892490157 443677470471 1331032411413