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1330110012 = 2237111439513
BaseRepresentation
bin100111101000111…
…1101111000111100
310102200211120220210
41033101331320330
510211002010022
6335552512420
744650514520
oct11721757074
93380746823
101330110012
116228a3380
1231154b710
1318274b05a
14c891bd80
157bb8ba0c
hex4f47de3c

1330110012 has 48 divisors (see below), whose sum is σ = 3869413632. Its totient is φ = 345482880.

The previous prime is 1330110007. The next prime is 1330110017. The reversal of 1330110012 is 2100110331.

It is an interprime number because it is at equal distance from previous prime (1330110007) and next prime (1330110017).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a self number, because there is not a number n which added to its sum of digits gives 1330110012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1330110017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 718833 + ... + 720680.

It is an arithmetic number, because the mean of its divisors is an integer number (80612784).

Almost surely, 21330110012 is an apocalyptic number.

1330110012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1330110012 is an abundant number, since it is smaller than the sum of its proper divisors (2539303620).

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

1330110012 is a wasteful number, since it uses less digits than its factorization.

1330110012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1439538 (or 1439536 counting only the distinct ones).

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

The square root of 1330110012 is about 36470.6733143220. The cubic root of 1330110012 is about 1099.7547695756.

Adding to 1330110012 its reverse (2100110331), we get a palindrome (3430220343).

The spelling of 1330110012 in words is "one billion, three hundred thirty million, one hundred ten thousand, twelve".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 66 77 84 132 154 231 308 462 924 1439513 2879026 4318539 5758052 8637078 10076591 15834643 17274156 20153182 30229773 31669286 40306364 47503929 60459546 63338572 95007858 110842501 120919092 190015716 221685002 332527503 443370004 665055006 1330110012