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1331033210001 = 3211809143911549
BaseRepresentation
bin10011010111100111110…
…000101111110010010001
311201020121222210212021100
4103113213300233302101
5133301424000210001
62455245045015013
7165110146416315
oct23274760576221
94636558725240
101331033210001
11473540602190
12195b683b4469
13986925567b1
14485cad07b45
15249535e0586
hex135e7c2fc91

1331033210001 has 48 divisors (see below), whose sum is σ = 2101619520000. Its totient is φ = 805060043520.

The previous prime is 1331033209999. The next prime is 1331033210033. The reversal of 1331033210001 is 1000123301331.

It is a happy number.

1331033210001 is a `hidden beast` number, since 1 + 331 + 0 + 332 + 1 + 0 + 0 + 0 + 1 = 666.

It is not a de Polignac number, because 1331033210001 - 21 = 1331033209999 is a prime.

It is a super-2 number, since 2×13310332100012 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1331033220001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 115245175 + ... + 115256723.

It is an arithmetic number, because the mean of its divisors is an integer number (43783740000).

Almost surely, 21331033210001 is an apocalyptic number.

1331033210001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1331033210001 is a deficient number, since it is larger than the sum of its proper divisors (770586309999).

1331033210001 is a wasteful number, since it uses less digits than its factorization.

1331033210001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13814 (or 13811 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 1331033210001 its reverse (1000123301331), we get a palindrome (2331156511332).

The spelling of 1331033210001 in words is "one trillion, three hundred thirty-one billion, thirty-three million, two hundred ten thousand, one".

Divisors: 1 3 9 11 33 99 809 1439 2427 4317 7281 8899 11549 12951 15829 26697 34647 47487 80091 103941 127039 142461 381117 1143351 1164151 3492453 9343141 10477359 12805661 16619011 28029423 38416983 49857033 84088269 102774551 115250949 149571099 182809121 308323653 548427363 924970959 1645282089 13444779899 40334339697 121003019091 147892578889 443677736667 1331033210001