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1330230320331 = 311247101771971
BaseRepresentation
bin10011010110110111111…
…001111101110011001011
311201011120001000211200220
4103112313321331303023
5133243302430222311
62455033244201123
7165051230106153
oct23266771756313
94634501024626
101330230320331
11473169378300
121959835391a3
1398595101553
1448552429763
1524907d97206
hex135b7e7dccb

1330230320331 has 48 divisors (see below), whose sum is σ = 2010733853184. Its totient is φ = 781233640000.

The previous prime is 1330230320327. The next prime is 1330230320359.

1330230320331 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 1330230320331 - 22 = 1330230320327 is a prime.

It is a super-2 number, since 2×13302303203312 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1330230321331) 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, 1337176 + ... + 2109146.

It is an arithmetic number, because the mean of its divisors is an integer number (41890288608).

Almost surely, 21330230320331 is an apocalyptic number.

1330230320331 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1330230320331 is a deficient number, since it is larger than the sum of its proper divisors (680503532853).

1330230320331 is a wasteful number, since it uses less digits than its factorization.

1330230320331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 772144 (or 772133 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 24.

It can be divided in two parts, 1330230 and 320331, that added together give a palindrome (1650561).

The spelling of 1330230320331 in words is "one trillion, three hundred thirty billion, two hundred thirty million, three hundred twenty thousand, three hundred thirty-one".

Divisors: 1 3 11 33 47 101 121 141 303 363 517 1111 1551 3333 4747 5687 12221 14241 17061 36663 52217 156651 574387 771971 1723161 2315913 8491681 25475043 36282637 77969071 93408491 108847911 233907213 280225473 399109007 857659781 1197327021 2572979343 3664546337 4390199077 9434257591 10993639011 13170597231 28302772773 40310009707 120930029121 443410106777 1330230320331