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102331024 = 24172912973
BaseRepresentation
bin1100001100101…
…11001010010000
321010112221202221
412012113022100
5202144043044
614053150424
72351541115
oct606271220
9233487687
10102331024
11528438a4
122a32b414
131827b803
14d83a90c
158eb5484
hex6197290

102331024 has 40 divisors (see below), whose sum is σ = 217184760. Its totient is φ = 46491648.

The previous prime is 102331003. The next prime is 102331049. The reversal of 102331024 is 420133201.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 3686400 + 98644624 = 1920^2 + 9932^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 102330989 and 102331007.

It is a congruent number.

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, 1402 + ... + 14374.

It is an arithmetic number, because the mean of its divisors is an integer number (5429619).

Almost surely, 2102331024 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102331024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108592380).

102331024 is an abundant number, since it is smaller than the sum of its proper divisors (114853736).

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

102331024 is a wasteful number, since it uses less digits than its factorization.

102331024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13027 (or 13021 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 102331024 is about 10115.8797936709. The cubic root of 102331024 is about 467.7377691820.

Adding to 102331024 its reverse (420133201), we get a palindrome (522464225).

The spelling of 102331024 in words is "one hundred two million, three hundred thirty-one thousand, twenty-four".

Divisors: 1 2 4 8 16 17 29 34 58 68 116 136 232 272 464 493 986 1972 3944 7888 12973 25946 51892 103784 207568 220541 376217 441082 752434 882164 1504868 1764328 3009736 3528656 6019472 6395689 12791378 25582756 51165512 102331024