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1131312441 = 3732294801
BaseRepresentation
bin100001101101110…
…0111010100111001
32220211202121220210
41003123213110321
54304103444231
6304131541333
740014666000
oct10333472471
92824677823
101131312441
11530661866
12276a5a849
131504c515c
14aa36dc37
15694bda46
hex436e7539

1131312441 has 32 divisors (see below), whose sum is σ = 1767136000. Its totient is φ = 643507200.

The previous prime is 1131312437. The next prime is 1131312473. The reversal of 1131312441 is 1442131311.

It is not a de Polignac number, because 1131312441 - 22 = 1131312437 is a prime.

It is a super-2 number, since 2×11313124412 = 2559735678322756962, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1131312541) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 233241 + ... + 238041.

It is an arithmetic number, because the mean of its divisors is an integer number (55223000).

Almost surely, 21131312441 is an apocalyptic number.

It is an amenable number.

1131312441 is a deficient number, since it is larger than the sum of its proper divisors (635823559).

1131312441 is an equidigital number, since it uses as much as digits as its factorization.

1131312441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5054 (or 5040 counting only the distinct ones).

The product of its digits is 288, while the sum is 21.

The square root of 1131312441 is about 33634.9883454714. The cubic root of 1131312441 is about 1041.9835299236.

Adding to 1131312441 its reverse (1442131311), we get a palindrome (2573443752).

The spelling of 1131312441 in words is "one billion, one hundred thirty-one million, three hundred twelve thousand, four hundred forty-one".

Divisors: 1 3 7 21 49 147 229 343 687 1029 1603 4801 4809 11221 14403 33607 33663 78547 100821 235249 235641 705747 1099429 1646743 3298287 4940229 7696003 23088009 53872021 161616063 377104147 1131312441