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1100011340 = 225235940531
BaseRepresentation
bin100000110010000…
…1101011101001100
32211122212100212202
41001210031131030
54223100330330
6301053021032
736154641101
oct10144153514
92748770782
101100011340
11514a2288a
12268484778
13146b85bac
14a6142aa8
1566889445
hex4190d74c

1100011340 has 48 divisors (see below), whose sum is σ = 2451375360. Its totient is φ = 413730240.

The previous prime is 1100011321. The next prime is 1100011349. The reversal of 1100011340 is 431100011.

It is not an unprimeable number, because it can be changed into a prime (1100011349) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6875 + ... + 47405.

It is an arithmetic number, because the mean of its divisors is an integer number (51070320).

Almost surely, 21100011340 is an apocalyptic number.

1100011340 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 1100011340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1225687680).

1100011340 is an abundant number, since it is smaller than the sum of its proper divisors (1351364020).

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

1100011340 is a wasteful number, since it uses less digits than its factorization.

1100011340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40622 (or 40620 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 11.

The square root of 1100011340 is about 33166.4188600458. The cubic root of 1100011340 is about 1032.2836627340.

Adding to 1100011340 its reverse (431100011), we get a palindrome (1531111351).

The spelling of 1100011340 in words is "one billion, one hundred million, eleven thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 23 46 59 92 115 118 230 236 295 460 590 1180 1357 2714 5428 6785 13570 27140 40531 81062 162124 202655 405310 810620 932213 1864426 2391329 3728852 4661065 4782658 9322130 9565316 11956645 18644260 23913290 47826580 55000567 110001134 220002268 275002835 550005670 1100011340