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442100100 = 2235213113359
BaseRepresentation
bin11010010110011…
…110100110000100
31010210220000022210
4122112132212010
51401134200400
6111511423420
713645534401
oct3226364604
91123800283
10442100100
11207610392
12104084b70
1370791cc0
1442a032a8
1528c2c950
hex1a59e984

442100100 has 72 divisors (see below), whose sum is σ = 1377550720. Its totient is φ = 108823680.

The previous prime is 442100093. The next prime is 442100119. The reversal of 442100100 is 1001244.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 52780 + ... + 60579.

Almost surely, 2442100100 is an apocalyptic number.

It is an amenable number.

442100100 is an abundant number, since it is smaller than the sum of its proper divisors (935450620).

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

442100100 is a wasteful number, since it uses less digits than its factorization.

442100100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113389 (or 113382 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 442100100 is about 21026.1765425861. The cubic root of 442100100 is about 761.7986599584.

Adding to 442100100 its reverse (1001244), we get a palindrome (443101344).

The spelling of 442100100 in words is "four hundred forty-two million, one hundred thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 25 26 30 39 50 52 60 65 75 78 100 130 150 156 195 260 300 325 390 650 780 975 1300 1950 3900 113359 226718 340077 453436 566795 680154 1133590 1360308 1473667 1700385 2267180 2833975 2947334 3400770 4421001 5667950 5894668 6801540 7368335 8501925 8842002 11335900 14736670 17003850 17684004 22105005 29473340 34007700 36841675 44210010 73683350 88420020 110525025 147366700 221050050 442100100