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102331300 = 22521023313
BaseRepresentation
bin1100001100101…
…11001110100100
321010112222011011
412012113032210
5202144100200
614053152004
72351541661
oct606271644
9233488134
10102331300
1152844025
122a32b604
131827b986
14d83aa68
158eb55ba
hex61973a4

102331300 has 18 divisors (see below), whose sum is σ = 222059138. Its totient is φ = 40932480.

The previous prime is 102331297. The next prime is 102331303. The reversal of 102331300 is 3133201.

It is an interprime number because it is at equal distance from previous prime (102331297) and next prime (102331303).

It can be written as a sum of positive squares in 3 ways, for example, as 8202496 + 94128804 = 2864^2 + 9702^2 .

It is not an unprimeable number, because it can be changed into a prime (102331303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 511557 + ... + 511756.

Almost surely, 2102331300 is an apocalyptic number.

102331300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102331300 is an abundant number, since it is smaller than the sum of its proper divisors (119727838).

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

102331300 is a wasteful number, since it uses less digits than its factorization.

102331300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1023327 (or 1023320 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 13.

The square root of 102331300 is about 10115.8934355795. The cubic root of 102331300 is about 467.7381896981.

Adding to 102331300 its reverse (3133201), we get a palindrome (105464501).

It can be divided in two parts, 1023 and 31300, that added together give a palindrome (32323).

The spelling of 102331300 in words is "one hundred two million, three hundred thirty-one thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 100 1023313 2046626 4093252 5116565 10233130 20466260 25582825 51165650 102331300