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1331330231 = 711172292063
BaseRepresentation
bin100111101011010…
…0111110010110111
310102210010120202002
41033112213302313
510211310031411
6340035005515
744664056150
oct11726476267
93383116662
101331330231
11623557120
12311a3989b
13182a8758a
14c8b58927
157bd2d33b
hex4f5a7cb7

1331330231 has 48 divisors (see below), whose sum is σ = 1824906240. Its totient is φ = 942251520.

The previous prime is 1331330219. The next prime is 1331330239. The reversal of 1331330231 is 1320331331.

It is not a de Polignac number, because 1331330231 - 226 = 1264221367 is a prime.

It is a super-2 number, since 2×13313302312 = 3544880367949026722, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1331330239) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 644306 + ... + 646368.

It is an arithmetic number, because the mean of its divisors is an integer number (38018880).

Almost surely, 21331330231 is an apocalyptic number.

1331330231 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1331330231 is a deficient number, since it is larger than the sum of its proper divisors (493576009).

1331330231 is a wasteful number, since it uses less digits than its factorization.

1331330231 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2144 (or 2127 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 20.

The square root of 1331330231 is about 36487.3982492586. The cubic root of 1331330231 is about 1100.0909652046.

Adding to 1331330231 its reverse (1320331331), we get a palindrome (2651661562).

The spelling of 1331330231 in words is "one billion, three hundred thirty-one million, three hundred thirty thousand, two hundred thirty-one".

Divisors: 1 7 11 17 29 77 119 187 203 289 319 493 1309 2023 2063 2233 3179 3451 5423 8381 14441 22253 22693 35071 37961 58667 59827 92191 158851 245497 385781 418789 596207 645337 658097 1017059 2700467 4173449 4606679 6558277 7119413 11187649 17290003 45907939 78313543 121030021 190190033 1331330231