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102041300 = 22521020413
BaseRepresentation
bin1100001010100…
…00011011010100
321010000020100102
412011100123110
5202110310200
614043033232
72346223334
oct605203324
9233006312
10102041300
1152666159
122a20b818
13181a998a
14d7a30c4
158e596d5
hex61506d4

102041300 has 18 divisors (see below), whose sum is σ = 221429838. Its totient is φ = 40816480.

The previous prime is 102041297. The next prime is 102041321. The reversal of 102041300 is 3140201.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 515524 + 101525776 = 718^2 + 10076^2 .

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 5 ways as a sum of consecutive naturals, for example, 510107 + ... + 510306.

Almost surely, 2102041300 is an apocalyptic number.

102041300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102041300 is an abundant number, since it is smaller than the sum of its proper divisors (119388538).

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

102041300 is a wasteful number, since it uses less digits than its factorization.

102041300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1020427 (or 1020420 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

The square root of 102041300 is about 10101.5493861090. The cubic root of 102041300 is about 467.2959254950.

Adding to 102041300 its reverse (3140201), we get a palindrome (105181501).

The spelling of 102041300 in words is "one hundred two million, forty-one thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 100 1020413 2040826 4081652 5102065 10204130 20408260 25510325 51020650 102041300