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1331013312 = 263223100469
BaseRepresentation
bin100111101010101…
…1010011011000000
310102202112111000100
41033111122123000
510211214411222
6340024122400
744661266166
oct11725323300
93382474010
101331013312
11623360002
12311906400
131829a6255
14c8ab5236
157bcb94ac
hex4f55a6c0

1331013312 has 84 divisors (see below), whose sum is σ = 3981023280. Its totient is φ = 424376832.

The previous prime is 1331013301. The next prime is 1331013329. The reversal of 1331013312 is 2133101331.

It is a happy number.

1331013312 is a `hidden beast` number, since 1 + 331 + 0 + 1 + 331 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 36987 + ... + 63482.

Almost surely, 21331013312 is an apocalyptic number.

1331013312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1331013312 is an abundant number, since it is smaller than the sum of its proper divisors (2650009968).

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

1331013312 is a wasteful number, since it uses less digits than its factorization.

1331013312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100510 (or 100497 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

The square root of 1331013312 is about 36483.0551352268. The cubic root of 1331013312 is about 1100.0036672054.

Adding to 1331013312 its reverse (2133101331), we get a palindrome (3464114643).

It can be divided in two parts, 133101331 and 2, that multiplied together give a palindrome (266202662).

The spelling of 1331013312 in words is "one billion, three hundred thirty-one million, thirteen thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 32 36 46 48 64 69 72 92 96 138 144 184 192 207 276 288 368 414 552 576 736 828 1104 1472 1656 2208 3312 4416 6624 13248 100469 200938 301407 401876 602814 803752 904221 1205628 1607504 1808442 2310787 2411256 3215008 3616884 4621574 4822512 6430016 6932361 7233768 9243148 9645024 13864722 14467536 18486296 19290048 20797083 27729444 28935072 36972592 41594166 55458888 57870144 73945184 83188332 110917776 147890368 166376664 221835552 332753328 443671104 665506656 1331013312