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1331220231 = 33117956737
BaseRepresentation
bin100111101011000…
…1100111100000111
310102202220222212000
41033112030330013
510211243021411
6340032400343
744663120355
oct11726147407
93382828760
101331220231
11623491510
123119a60b3
13182a494a3
14c8b2a7d5
157bd0a956
hex4f58cf07

1331220231 has 32 divisors (see below), whose sum is σ = 2178739200. Its totient is φ = 796573440.

The previous prime is 1331220181. The next prime is 1331220269. The reversal of 1331220231 is 1320221331.

It is not a de Polignac number, because 1331220231 - 26 = 1331220167 is a prime.

It is a super-2 number, since 2×13312202312 = 3544294606847386722, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1331221231) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4906 + ... + 51831.

It is an arithmetic number, because the mean of its divisors is an integer number (68085600).

Almost surely, 21331220231 is an apocalyptic number.

1331220231 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1331220231 is a deficient number, since it is larger than the sum of its proper divisors (847518969).

1331220231 is a wasteful number, since it uses less digits than its factorization.

1331220231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56836 (or 56830 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 1331220231 is about 36485.8908483814. The cubic root of 1331220231 is about 1100.0606663511.

Adding to 1331220231 its reverse (1320221331), we get a palindrome (2651441562).

The spelling of 1331220231 in words is "one billion, three hundred thirty-one million, two hundred twenty thousand, two hundred thirty-one".

Divisors: 1 3 9 11 27 33 79 99 237 297 711 869 2133 2607 7821 23463 56737 170211 510633 624107 1531899 1872321 4482223 5616963 13446669 16850889 40340007 49304453 121020021 147913359 443740077 1331220231