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100530225 = 32522771613
BaseRepresentation
bin1011111110111…
…11100000110001
321000011110112200
411333133200301
5201213431400
613550413413
72330331015
oct577374061
9230143480
10100530225
1151823934
1229801269
1317a9ac53
14d4cc545
158c5bb00
hex5fdf831

100530225 has 36 divisors (see below), whose sum is σ = 180822876. Its totient is φ = 53389440.

The previous prime is 100530203. The next prime is 100530229. The reversal of 100530225 is 522035001.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 6517809 + 94012416 = 2553^2 + 9696^2 .

It is not a de Polignac number, because 100530225 - 27 = 100530097 is a prime.

It is a super-2 number, since 2×1005302252 = 20212652277101250, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 100530198 and 100530207.

It is not an unprimeable number, because it can be changed into a prime (100530229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 61519 + ... + 63131.

Almost surely, 2100530225 is an apocalyptic number.

100530225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

100530225 is a deficient number, since it is larger than the sum of its proper divisors (80292651).

100530225 is a wasteful number, since it uses less digits than its factorization.

100530225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1906 (or 1898 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 18.

The square root of 100530225 is about 10026.4762005402. The cubic root of 100530225 is about 464.9777998420.

Adding to 100530225 its reverse (522035001), we get a palindrome (622565226).

The spelling of 100530225 in words is "one hundred million, five hundred thirty thousand, two hundred twenty-five".

Divisors: 1 3 5 9 15 25 45 75 225 277 831 1385 1613 2493 4155 4839 6925 8065 12465 14517 20775 24195 40325 62325 72585 120975 362925 446801 1340403 2234005 4021209 6702015 11170025 20106045 33510075 100530225