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112023145024 = 267457719761
BaseRepresentation
bin110100001010100011…
…0011000101001000000
3101201011002022101121021
41220111012120221000
53313410411120044
6123243540435224
711044016010310
oct1502506305100
9351132271537
10112023145024
114356616599a
12198643a8b14
13a7436b903b
1455c9b85440
152da9a2ce84
hex1a15198a40

112023145024 has 112 divisors (see below), whose sum is σ = 255297553920. Its totient is φ = 47775375360.

The previous prime is 112023144977. The next prime is 112023145049. The reversal of 112023145024 is 420541320211.

It is a tau number, because it is divible by the number of its divisors (112).

It is a self number, because there is not a number n which added to its sum of digits gives 112023145024.

It is an unprimeable number.

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, 147204804 + ... + 147205564.

Almost surely, 2112023145024 is an apocalyptic number.

112023145024 is a gapful number since it is divisible by the number (14) 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 112023145024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127648776960).

112023145024 is an abundant number, since it is smaller than the sum of its proper divisors (143274408896).

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

112023145024 is an equidigital number, since it uses as much as digits as its factorization.

112023145024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1956 (or 1946 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

Adding to 112023145024 its reverse (420541320211), we get a palindrome (532564465235).

The spelling of 112023145024 in words is "one hundred twelve billion, twenty-three million, one hundred forty-five thousand, twenty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 224 448 457 719 761 914 1438 1522 1828 2876 3044 3199 3656 5033 5327 5752 6088 6398 7312 10066 10654 11504 12176 12796 14624 20132 21308 23008 24352 25592 29248 40264 42616 46016 48704 51184 80528 85232 102368 161056 170464 204736 322112 328583 340928 347777 547159 657166 695554 1094318 1314332 1391108 2188636 2300081 2434439 2628664 2782216 3830113 4377272 4600162 4868878 5257328 5564432 7660226 8754544 9200324 9737756 10514656 11128864 15320452 17509088 18400648 19475512 21029312 22257728 30640904 35018176 36801296 38951024 61281808 73602592 77902048 122563616 147205184 155804096 245127232 250051663 500103326 1000206652 1750361641 2000413304 3500723282 4000826608 7001446564 8001653216 14002893128 16003306432 28005786256 56011572512 112023145024