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331120001001 = 32922293131831
BaseRepresentation
bin1001101000110000100…
…10100011111111101001
31011122200022200212122210
410310120102203333221
520411113210013001
6412040414435333
732631314366256
oct4643022437751
91148608625583
10331120001001
11118477676699
125420b502b49
13252bc25839a
141205221442d
15892e7bedd6
hex4d184a3fe9

331120001001 has 48 divisors (see below), whose sum is σ = 460957727360. Its totient is φ = 211410501120.

The previous prime is 331120000969. The next prime is 331120001011. The reversal of 331120001001 is 100100021133.

331120001001 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 331120001001 - 25 = 331120000969 is a prime.

It is not an unprimeable number, because it can be changed into a prime (331120001011) 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, 180840156 + ... + 180841986.

Almost surely, 2331120001001 is an apocalyptic number.

It is an amenable number.

331120001001 is a deficient number, since it is larger than the sum of its proper divisors (129837726359).

331120001001 is a wasteful number, since it uses less digits than its factorization.

331120001001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2434 (or 2405 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

Adding to 331120001001 its reverse (100100021133), we get a palindrome (431220022134).

The spelling of 331120001001 in words is "three hundred thirty-one billion, one hundred twenty million, one thousand, one".

Divisors: 1 3 29 87 229 313 687 841 939 1831 2523 5493 6641 9077 19923 27231 53099 71677 159297 192589 215031 263233 419299 573103 577767 789699 1257897 1539871 1719309 2078633 4619613 6235899 12159671 16619987 36479013 49859961 60280357 131240587 180841071 352630459 393721761 481979623 1057891377 1445938869 3805977023 11417931069 110373333667 331120001001