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442241110100 = 2252191371698967
BaseRepresentation
bin1100110111101111001…
…11111101000001010100
31120021111112200002121002
412123313213331001110
524221202211010400
6535055053442432
743644101261336
oct6336747750124
91507445602532
10442241110100
1116060a639649
12718617a0418
133291aab714a
141759426d456
15b78501ced5
hex66f79fd054

442241110100 has 72 divisors (see below), whose sum is σ = 1017545914560. Its totient is φ = 166362750720.

The previous prime is 442241110033. The next prime is 442241110247. The reversal of 442241110100 is 1011142244.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 589184 + ... + 1109783.

Almost surely, 2442241110100 is an apocalyptic number.

It is an amenable number.

442241110100 is an abundant number, since it is smaller than the sum of its proper divisors (575304804460).

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

442241110100 is a wasteful number, since it uses less digits than its factorization.

442241110100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1699137 (or 1699130 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 442241110100 its reverse (1011142244), we get a palindrome (443252252344).

The spelling of 442241110100 in words is "four hundred forty-two billion, two hundred forty-one million, one hundred ten thousand, one hundred".

Divisors: 1 2 4 5 10 19 20 25 38 50 76 95 100 137 190 274 380 475 548 685 950 1370 1900 2603 2740 3425 5206 6850 10412 13015 13700 26030 52060 65075 130150 260300 1698967 3397934 6795868 8494835 16989670 32280373 33979340 42474175 64560746 84948350 129121492 161401865 169896700 232758479 322803730 465516958 645607460 807009325 931033916 1163792395 1614018650 2327584790 3228037300 4422411101 4655169580 5818961975 8844822202 11637923950 17689644404 22112055505 23275847900 44224111010 88448222020 110560277525 221120555050 442241110100