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424118100 = 223527201961
BaseRepresentation
bin11001010001111…
…000011101010100
31002120001102122210
4121101320131110
51332033234400
6110030153420
713336641630
oct3121703524
91076042583
10424118100
111a844922a
12ba052870
1369b37273
1440481dc0
1527379950
hex19478754

424118100 has 72 divisors (see below), whose sum is σ = 1402424128. Its totient is φ = 96940800.

The previous prime is 424118081. The next prime is 424118113. The reversal of 424118100 is 1811424.

It is a happy number.

It is a super-2 number, since 2×4241181002 = 359752325495220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

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, 98881 + ... + 103080.

Almost surely, 2424118100 is an apocalyptic number.

It is an amenable number.

424118100 is an abundant number, since it is smaller than the sum of its proper divisors (978306028).

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

424118100 is a wasteful number, since it uses less digits than its factorization.

424118100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201985 (or 201978 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 21.

The square root of 424118100 is about 20594.1278038183. The cubic root of 424118100 is about 751.3268955244.

Adding to 424118100 its reverse (1811424), we get a palindrome (425929524).

The spelling of 424118100 in words is "four hundred twenty-four million, one hundred eighteen thousand, one hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 25 28 30 35 42 50 60 70 75 84 100 105 140 150 175 210 300 350 420 525 700 1050 2100 201961 403922 605883 807844 1009805 1211766 1413727 2019610 2423532 2827454 3029415 4039220 4241181 5049025 5654908 6058830 7068635 8482362 10098050 12117660 14137270 15147075 16964724 20196100 21205905 28274540 30294150 35343175 42411810 60588300 70686350 84823620 106029525 141372700 212059050 424118100