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1000443001124 = 2271923591385801
BaseRepresentation
bin11101000111011110000…
…11001011100100100100
310112122022121000012210002
432203233003023210210
5112342401402013444
62043332553320432
7132164624125340
oct16435703134444
93478277005702
101000443001124
11356315aa1226
12141a86406118
1373458cb4998
14365c9202620
151b0555c0d4e
hexe8ef0cb924

1000443001124 has 96 divisors (see below), whose sum is σ = 2235021465600. Its totient is φ = 381948652800.

The previous prime is 1000443001079. The next prime is 1000443001141. The reversal of 1000443001124 is 4211003440001.

1000443001124 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 1000443001096 and 1000443001105.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29024 + ... + 1414824.

It is an arithmetic number, because the mean of its divisors is an integer number (23281473600).

Almost surely, 21000443001124 is an apocalyptic number.

1000443001124 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 1000443001124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1117510732800).

1000443001124 is an abundant number, since it is smaller than the sum of its proper divisors (1234578464476).

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

1000443001124 is a wasteful number, since it uses less digits than its factorization.

1000443001124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1385913 (or 1385911 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 1000443001124 its reverse (4211003440001), we get a palindrome (5211446441125).

The spelling of 1000443001124 in words is "one trillion, four hundred forty-three million, one thousand, one hundred twenty-four".

Divisors: 1 2 4 7 14 19 23 28 38 46 59 76 92 118 133 161 236 266 322 413 437 532 644 826 874 1121 1357 1652 1748 2242 2714 3059 4484 5428 6118 7847 9499 12236 15694 18998 25783 31388 37996 51566 103132 180481 360962 721924 1385801 2771602 5543204 9700607 19401214 26330219 31873423 38802428 52660438 63746846 81762259 105320876 127493692 163524518 184311533 223113961 327049036 368623066 446227922 572335813 605595037 737246132 892455844 1144671626 1211190074 1553482921 1880531957 2289343252 2422380148 3106965842 3761063914 4239165259 6213931684 7522127828 8478330518 10874380447 13163723699 16956661036 21748760894 26327447398 35730107183 43497521788 52654894796 71460214366 142920428732 250110750281 500221500562 1000443001124