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10112443032 = 2334179130087
BaseRepresentation
bin10010110101011111…
…11010001010011000
3222002202100022222010
421122233322022120
5131202241134112
64351240425520
7505411230126
oct113257721230
928082308863
1010112443032
11431a23513a
121b627782a0
13c52099803
146bd072916
153e2bbe63c
hex25abfa298

10112443032 has 64 divisors (see below), whose sum is σ = 26225740800. Its totient is φ = 3246946560.

The previous prime is 10112443007. The next prime is 10112443043. The reversal of 10112443032 is 23034421101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12693 + ... + 142779.

It is an arithmetic number, because the mean of its divisors is an integer number (409777200).

Almost surely, 210112443032 is an apocalyptic number.

10112443032 is a gapful number since it is divisible by the number (12) 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 10112443032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13112870400).

10112443032 is an abundant number, since it is smaller than the sum of its proper divisors (16113297768).

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

10112443032 is a wasteful number, since it uses less digits than its factorization.

10112443032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130216 (or 130212 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 10112443032 its reverse (23034421101), we get a palindrome (33146864133).

The spelling of 10112443032 in words is "ten billion, one hundred twelve million, four hundred forty-three thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 24 41 79 82 123 158 164 237 246 316 328 474 492 632 948 984 1896 3239 6478 9717 12956 19434 25912 38868 77736 130087 260174 390261 520348 780522 1040696 1561044 3122088 5333567 10276873 10667134 16000701 20553746 21334268 30830619 32001402 41107492 42668536 61661238 64002804 82214984 123322476 128005608 246644952 421351793 842703586 1264055379 1685407172 2528110758 3370814344 5056221516 10112443032