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21140124120 = 2333519574189
BaseRepresentation
bin10011101100000011…
…001011000111011000
32000120021212120112000
4103230003023013120
5321243332432440
613413414121000
71345605042633
oct235403130730
960507776460
1021140124120
118a6905a165
12411b950160
131cbb9667ab
1410478aac1a
1583adca730
hex4ec0cb1d8

21140124120 has 64 divisors (see below), whose sum is σ = 70467084000. Its totient is φ = 5637366144.

The previous prime is 21140124107. The next prime is 21140124127. The reversal of 21140124120 is 2142104112.

21140124120 is a `hidden beast` number, since 2 + 1 + 1 + 401 + 241 + 20 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 21140124093 and 21140124102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21140124127) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9786015 + ... + 9788174.

Almost surely, 221140124120 is an apocalyptic number.

21140124120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21140124120 is an abundant number, since it is smaller than the sum of its proper divisors (49326959880).

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

21140124120 is a wasteful number, since it uses less digits than its factorization.

21140124120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19574209 (or 19574199 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 21140124120 its reverse (2142104112), we get a palindrome (23282228232).

The spelling of 21140124120 in words is "twenty-one billion, one hundred forty million, one hundred twenty-four thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 90 108 120 135 180 216 270 360 540 1080 19574189 39148378 58722567 78296756 97870945 117445134 156593512 176167701 195741890 234890268 293612835 352335402 391483780 469780536 528503103 587225670 704670804 782967560 880838505 1057006206 1174451340 1409341608 1761677010 2114012412 2348902680 2642515515 3523354020 4228024824 5285031030 7046708040 10570062060 21140124120