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110131144240 = 24513105895331
BaseRepresentation
bin110011010010001010…
…0111110011000110000
3101112021020011210110011
41212210110332120300
53301022033103430
6122332112344304
710646103165115
oct1464424763060
9345236153404
10110131144240
1142785183787
1219416845094
13a501726450
14548a7a090c
152ce88a022a
hex19a453e630

110131144240 has 40 divisors (see below), whose sum is σ = 275751444528. Its totient is φ = 40663806720.

The previous prime is 110131144199. The next prime is 110131144241. The reversal of 110131144240 is 42441131011.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×1101311442402 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (110131144241) 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 7 ways as a sum of consecutive naturals, for example, 52946626 + ... + 52948705.

Almost surely, 2110131144240 is an apocalyptic number.

110131144240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

110131144240 is an abundant number, since it is smaller than the sum of its proper divisors (165620300288).

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

110131144240 is a wasteful number, since it uses less digits than its factorization.

110131144240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105895357 (or 105895351 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 22.

Adding to 110131144240 its reverse (42441131011), we get a palindrome (152572275251).

The spelling of 110131144240 in words is "one hundred ten billion, one hundred thirty-one million, one hundred forty-four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 208 260 520 1040 105895331 211790662 423581324 529476655 847162648 1058953310 1376639303 1694325296 2117906620 2753278606 4235813240 5506557212 6883196515 8471626480 11013114424 13766393030 22026228848 27532786060 55065572120 110131144240