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1330202112 = 2936114197
BaseRepresentation
bin100111101001001…
…0100011000000000
310102201000021020220
41033102110120000
510211012431422
6335554503040
744651350161
oct11722243000
93381007226
101330202112
11622956598
12311594a80
13182780c55
14c8943768
157bba8e5c
hex4f494600

1330202112 has 80 divisors (see below), whose sum is σ = 3602089392. Its totient is φ = 436101120.

The previous prime is 1330202053. The next prime is 1330202129. The reversal of 1330202112 is 2112020331.

It is a junction number, because it is equal to n+sod(n) for n = 1330202091 and 1330202100.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 86598 + ... + 100794.

Almost surely, 21330202112 is an apocalyptic number.

1330202112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1330202112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1801044696).

1330202112 is an abundant number, since it is smaller than the sum of its proper divisors (2271887280).

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

1330202112 is an equidigital number, since it uses as much as digits as its factorization.

1330202112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14279 (or 14263 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 1330202112 is about 36471.9359508102. The cubic root of 1330202112 is about 1099.7801522070.

Adding to 1330202112 its reverse (2112020331), we get a palindrome (3442222443).

The spelling of 1330202112 in words is "one billion, three hundred thirty million, two hundred two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 61 64 96 122 128 183 192 244 256 366 384 488 512 732 768 976 1464 1536 1952 2928 3904 5856 7808 11712 14197 15616 23424 28394 31232 42591 46848 56788 85182 93696 113576 170364 227152 340728 454304 681456 866017 908608 1362912 1732034 1817216 2598051 2725824 3464068 3634432 5196102 5451648 6928136 7268864 10392204 10903296 13856272 20784408 21806592 27712544 41568816 55425088 83137632 110850176 166275264 221700352 332550528 443400704 665101056 1330202112