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1023104124 = 22327223151167
BaseRepresentation
bin111100111110110…
…101010001111100
32122022011002000100
4330332311101330
54043403312444
6245304401100
734232145600
oct7476652174
92568132010
101023104124
114855742a9
12246776190
13133c69473
1499c43500
155ec46e69
hex3cfb547c

1023104124 has 216 divisors, whose sum is σ = 3178925568. Its totient is φ = 276091200.

The previous prime is 1023104113. The next prime is 1023104143. The reversal of 1023104124 is 4214013201.

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 = 1023104097 and 1023104106.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 6126289 + ... + 6126455.

It is an arithmetic number, because the mean of its divisors is an integer number (14717248).

Almost surely, 21023104124 is an apocalyptic number.

1023104124 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 1023104124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1589462784).

1023104124 is an abundant number, since it is smaller than the sum of its proper divisors (2155821444).

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

1023104124 is a wasteful number, since it uses less digits than its factorization.

1023104124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 365 (or 353 counting only the distinct ones).

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

The square root of 1023104124 is about 31985.9988745076. The cubic root of 1023104124 is about 1007.6428132600.

Adding to 1023104124 its reverse (4214013201), we get a palindrome (5237117325).

The spelling of 1023104124 in words is "one billion, twenty-three million, one hundred four thousand, one hundred twenty-four".