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101000024112 = 24313161859013
BaseRepresentation
bin101111000010000010…
…0100001000000110000
3100122200212100211102210
41132010010201000300
53123322001232422
6114222045012120
710203606016461
oct1360404410060
9318625324383
10101000024112
1139919976009
12176a8854040
1396a7a578a0
144c61bb6d68
152961e2310c
hex1784121030

101000024112 has 40 divisors (see below), whose sum is σ = 280987248304. Its totient is φ = 31076930304.

The previous prime is 101000024087. The next prime is 101000024183. The reversal of 101000024112 is 211420000101.

It is a happy number.

101000024112 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 80928883 + ... + 80930130.

Almost surely, 2101000024112 is an apocalyptic number.

101000024112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101000024112 is an abundant number, since it is smaller than the sum of its proper divisors (179987224192).

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

101000024112 is a wasteful number, since it uses less digits than its factorization.

101000024112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161859037 (or 161859031 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 101000024112 its reverse (211420000101), we get a palindrome (312420024213).

The spelling of 101000024112 in words is "one hundred one billion, twenty-four thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 156 208 312 624 161859013 323718026 485577039 647436052 971154078 1294872104 1942308156 2104167169 2589744208 3884616312 4208334338 6312501507 7769232624 8416668676 12625003014 16833337352 25250006028 33666674704 50500012056 101000024112