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1001123424 = 253273183193
BaseRepresentation
bin111011101010111…
…110111001100000
32120202210100011100
4323222332321200
54022241422144
6243201314400
733544260120
oct7352767140
92522710140
101001123424
11474120934
1223b335a00
1312c541632
1496d60c80
155cd54269
hex3babee60

1001123424 has 288 divisors, whose sum is σ = 3416684544. Its totient is φ = 272056320.

The previous prime is 1001123423. The next prime is 1001123437. The reversal of 1001123424 is 4243211001.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×10011234242 = 2004496220162967552, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1001123397 and 1001123406.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1001123423) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5187072 + ... + 5187264.

It is an arithmetic number, because the mean of its divisors is an integer number (11863488).

Almost surely, 21001123424 is an apocalyptic number.

1001123424 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 1001123424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1708342272).

1001123424 is an abundant number, since it is smaller than the sum of its proper divisors (2415561120).

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

1001123424 is a wasteful number, since it uses less digits than its factorization.

1001123424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 330 (or 319 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 1001123424 is about 31640.5345087595. The cubic root of 1001123424 is about 1000.3743345228.

Adding to 1001123424 its reverse (4243211001), we get a palindrome (5244334425).

The spelling of 1001123424 in words is "one billion, one million, one hundred twenty-three thousand, four hundred twenty-four".