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1131130340 = 225235094831
BaseRepresentation
bin100001101101011…
…1010110111100100
32220211102101010022
41003122322313210
54304032132330
6304124014312
740013310044
oct10332726744
92824371108
101131130340
11530547a6a
12276991398
131504602c2
14aa323724
1569484ae5
hex436bade4

1131130340 has 48 divisors (see below), whose sum is σ = 2484034560. Its totient is φ = 431840640.

The previous prime is 1131130337. The next prime is 1131130393. The reversal of 1131130340 is 430311311.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 231725 + ... + 236555.

It is an arithmetic number, because the mean of its divisors is an integer number (51750720).

Almost surely, 21131130340 is an apocalyptic number.

1131130340 is a gapful number since it is divisible by the number (10) 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 1131130340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1242017280).

1131130340 is an abundant number, since it is smaller than the sum of its proper divisors (1352904220).

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

1131130340 is a wasteful number, since it uses less digits than its factorization.

1131130340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5372 (or 5370 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 17.

The square root of 1131130340 is about 33632.2812190907. The cubic root of 1131130340 is about 1041.9276195145.

Adding to 1131130340 its reverse (430311311), we get a palindrome (1561441651).

The spelling of 1131130340 in words is "one billion, one hundred thirty-one million, one hundred thirty thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 23 46 92 115 230 460 509 1018 2036 2545 4831 5090 9662 10180 11707 19324 23414 24155 46828 48310 58535 96620 111113 117070 222226 234140 444452 555565 1111130 2222260 2458979 4917958 9835916 12294895 24589790 49179580 56556517 113113034 226226068 282782585 565565170 1131130340