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10100223 = 327237619
BaseRepresentation
bin100110100001…
…110111111111
3201000010220100
4212201313333
510041201343
61000252143
7151564500
oct46416777
921003810
1010100223
1157794a1
123471053
132128383
1414acba7
15d479d3
hex9a1dff

10100223 has 36 divisors (see below), whose sum is σ = 17457960. Its totient is φ = 5606496.

The previous prime is 10100221. The next prime is 10100249. The reversal of 10100223 is 32200101.

It is a happy number.

It is not a de Polignac number, because 10100223 - 21 = 10100221 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10100221) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 16008 + ... + 16626.

Almost surely, 210100223 is an apocalyptic number.

10100223 is a deficient number, since it is larger than the sum of its proper divisors (7357737).

10100223 is a wasteful number, since it uses less digits than its factorization.

10100223 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 676 (or 666 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 10100223 is about 3178.0848006307. The cubic root of 10100223 is about 216.1608241577.

Adding to 10100223 its reverse (32200101), we get a palindrome (42300324).

It can be divided in two parts, 1010022 and 3, that added together give a square (1010025 = 10052).

The spelling of 10100223 in words is "ten million, one hundred thousand, two hundred twenty-three".

Divisors: 1 3 7 9 21 37 49 63 111 147 259 333 441 619 777 1813 1857 2331 4333 5439 5571 12999 16317 22903 30331 38997 68709 90993 160321 206127 272979 480963 1122247 1442889 3366741 10100223