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100134306 = 2346110133
BaseRepresentation
bin1011111011111…
…10110110100010
320222102100110000
411331332312202
5201113244211
613534120430
72324061516
oct575766642
9228370400
10100134306
1151583428
1229650116
131798c98c
14d428146
158bce656
hex5f7eda2

100134306 has 40 divisors (see below), whose sum is σ = 228075804. Its totient is φ = 32827680.

The previous prime is 100134289. The next prime is 100134337. The reversal of 100134306 is 603431001.

It can be written as a sum of positive squares in 2 ways, for example, as 98188281 + 1946025 = 9909^2 + 1395^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 4816 + ... + 14948.

Almost surely, 2100134306 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100134306, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114037902).

100134306 is an abundant number, since it is smaller than the sum of its proper divisors (127941498).

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

100134306 is a wasteful number, since it uses less digits than its factorization.

100134306 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10208 (or 10199 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 100134306 is about 10006.7130467502. The cubic root of 100134306 is about 464.3665881456.

Adding to 100134306 its reverse (603431001), we get a palindrome (703565307).

The spelling of 100134306 in words is "one hundred million, one hundred thirty-four thousand, three hundred six".

Divisors: 1 2 3 6 9 18 27 54 61 81 122 162 183 366 549 1098 1647 3294 4941 9882 10133 20266 30399 60798 91197 182394 273591 547182 618113 820773 1236226 1641546 1854339 3708678 5563017 11126034 16689051 33378102 50067153 100134306