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21240440120 = 23512719921011
BaseRepresentation
bin10011110010000001…
…110110010100111000
32000211021122011012102
4103302001312110320
5322000023040440
613431400202532
71351233522254
oct236201662470
960737564172
1021240440120
11900a747049
124149469448
13200668b083
141056d41264
15844ae3b15
hex4f2076538

21240440120 has 64 divisors (see below), whose sum is σ = 48411648000. Its totient is φ = 8386519680.

The previous prime is 21240440099. The next prime is 21240440141. The reversal of 21240440120 is 2104404212.

It is an interprime number because it is at equal distance from previous prime (21240440099) and next prime (21240440141).

It is a super-2 number, since 2×212404401202 (a number of 21 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 21240440092 and 21240440101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1000415 + ... + 1021425.

It is an arithmetic number, because the mean of its divisors is an integer number (756432000).

Almost surely, 221240440120 is an apocalyptic number.

21240440120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21240440120 is an abundant number, since it is smaller than the sum of its proper divisors (27171207880).

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

21240440120 is a wasteful number, since it uses less digits than its factorization.

21240440120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21348 (or 21344 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

Adding to 21240440120 its reverse (2104404212), we get a palindrome (23344844332).

The spelling of 21240440120 in words is "twenty-one billion, two hundred forty million, four hundred forty thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 127 199 254 398 508 635 796 995 1016 1270 1592 1990 2540 3980 5080 7960 21011 25273 42022 50546 84044 101092 105055 126365 168088 202184 210110 252730 420220 505460 840440 1010920 2668397 4181189 5336794 8362378 10673588 13341985 16724756 20905945 21347176 26683970 33449512 41811890 53367940 83623780 106735880 167247560 531011003 1062022006 2124044012 2655055015 4248088024 5310110030 10620220060 21240440120