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1330221012132 = 22310711320274523
BaseRepresentation
bin10011010110110111010…
…110011101010010100100
311201011112101111221020210
4103112313112131102210
5133243243034342012
62455032312455420
7165051055020435
oct23266726352244
94634471457223
101330221012132
1147316409a981
121959803aa570
13985931c283c
14485510c548c
152490715923c
hex135b759d4a4

1330221012132 has 96 divisors (see below), whose sum is σ = 3162839726592. Its totient is φ = 435064731136.

The previous prime is 1330221012067. The next prime is 1330221012151. The reversal of 1330221012132 is 2312101220331.

It is a super-3 number, since 3×13302210121323 (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 1330221012099 and 1330221012108.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 294099223 + ... + 294103745.

It is an arithmetic number, because the mean of its divisors is an integer number (32946247152).

Almost surely, 21330221012132 is an apocalyptic number.

1330221012132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1330221012132 is an abundant number, since it is smaller than the sum of its proper divisors (1832618714460).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1330221012132 is a wasteful number, since it uses less digits than its factorization.

1330221012132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6777 (or 6775 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 1330221012132 its reverse (2312101220331), we get a palindrome (3642322232463).

The spelling of 1330221012132 in words is "one trillion, three hundred thirty billion, two hundred twenty-one million, twelve thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 12 107 113 214 226 321 339 428 452 642 678 1284 1356 2027 4054 4523 6081 8108 9046 12091 12162 13569 18092 24182 24324 27138 36273 48364 54276 72546 145092 216889 229051 433778 458102 483961 511099 650667 687153 867556 916204 967922 1022198 1301334 1374306 1451883 1533297 1935844 2044396 2602668 2748612 2903766 3066594 5807532 6133188 9168121 18336242 24508457 27504363 36672484 49016914 54687593 55008726 73525371 98033828 109375186 110017452 147050742 164062779 218750372 294101484 328125558 656251116 980988947 1035997673 1961977894 2071995346 2942966841 3107993019 3923955788 4143990692 5885933682 6215986038 11771867364 12431972076 110851751011 221703502022 332555253033 443407004044 665110506066 1330221012132