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1131411312 = 243267117269
BaseRepresentation
bin100001101101111…
…1111011101110000
32220211221122112200
41003123333131300
54304120130222
6304134023200
740015560153
oct10333773560
92824848480
101131411312
1153071a079
12276aa7b00
1315052b165
14aa397c9a
15694dceac
hex436ff770

1131411312 has 60 divisors (see below), whose sum is σ = 3213667080. Its totient is φ = 371505024.

The previous prime is 1131411301. The next prime is 1131411409. The reversal of 1131411312 is 2131141311.

It is a happy number.

It is a super-2 number, since 2×11314113122 = 2560183113843122688, which contains 22 as substring.

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

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 48987 + ... + 68282.

It is an arithmetic number, because the mean of its divisors is an integer number (53561118).

Almost surely, 21131411312 is an apocalyptic number.

1131411312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1131411312 is an abundant number, since it is smaller than the sum of its proper divisors (2082255768).

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

1131411312 is a wasteful number, since it uses less digits than its factorization.

1131411312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117350 (or 117341 counting only the distinct ones).

The product of its digits is 72, while the sum is 18.

The square root of 1131411312 is about 33636.4580775087. The cubic root of 1131411312 is about 1042.0138837407.

Adding to 1131411312 its reverse (2131141311), we get a palindrome (3262552623).

The spelling of 1131411312 in words is "one billion, one hundred thirty-one million, four hundred eleven thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 67 72 134 144 201 268 402 536 603 804 1072 1206 1608 2412 3216 4824 9648 117269 234538 351807 469076 703614 938152 1055421 1407228 1876304 2110842 2814456 4221684 5628912 7857023 8443368 15714046 16886736 23571069 31428092 47142138 62856184 70713207 94284276 125712368 141426414 188568552 282852828 377137104 565705656 1131411312