Search a number
-
+
1331314403211 = 321324212079071
BaseRepresentation
bin10011010111111000100…
…001011010011110001011
311201021100120220221211200
4103113320201122132023
5133303012441400321
62455333011555243
7165120132466512
oct23277041323613
94637316827750
101331314403211
11473675300871
121960265bbb23
139870889b300
14486163c3679
152496d136d26
hex135f885a78b

1331314403211 has 36 divisors (see below), whose sum is σ = 2087259385536. Its totient is φ = 817323998400.

The previous prime is 1331314403173. The next prime is 1331314403219. The reversal of 1331314403211 is 1123044131331.

1331314403211 is a `hidden beast` number, since 1 + 3 + 3 + 1 + 3 + 1 + 440 + 3 + 211 = 666.

It is not a de Polignac number, because 1331314403211 - 29 = 1331314402699 is a prime.

It is a super-2 number, since 2×13313144032112 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1331314403219) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 399195 + ... + 1679876.

It is an arithmetic number, because the mean of its divisors is an integer number (57979427376).

Almost surely, 21331314403211 is an apocalyptic number.

1331314403211 is a deficient number, since it is larger than the sum of its proper divisors (755944982325).

1331314403211 is a wasteful number, since it uses less digits than its factorization.

1331314403211 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2079524 (or 2079508 counting only the distinct ones).

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

Adding to 1331314403211 its reverse (1123044131331), we get a palindrome (2454358534542).

The spelling of 1331314403211 in words is "one trillion, three hundred thirty-one billion, three hundred fourteen million, four hundred three thousand, two hundred eleven".

Divisors: 1 3 9 13 39 117 169 421 507 1263 1521 3789 5473 16419 49257 71149 213447 640341 2079071 6237213 18711639 27027923 81083769 243251307 351362999 875288891 1054088997 2625866673 3162266991 7877600019 11378755583 34136266749 102408800247 147923822579 443771467737 1331314403211