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21130041040 = 2451513717449
BaseRepresentation
bin10011101011011100…
…101101011011010000
32000112120220022010121
4103223130231123100
5321233242303130
613412414040024
71345423246123
oct235334553320
960476808117
1021130041040
118a633a2639
1241184a9014
131cb9846184
1410464043ba
1583a087d7a
hex4eb72d6d0

21130041040 has 40 divisors (see below), whose sum is σ = 49133406600. Its totient is φ = 8450973696.

The previous prime is 21130040977. The next prime is 21130041059. The reversal of 21130041040 is 4014003112.

It can be written as a sum of positive squares in 4 ways, for example, as 9387284544 + 11742756496 = 96888^2 + 108364^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1202236 + ... + 1219684.

It is an arithmetic number, because the mean of its divisors is an integer number (1228335165).

Almost surely, 221130041040 is an apocalyptic number.

21130041040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21130041040 is an abundant number, since it is smaller than the sum of its proper divisors (28003365560).

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

21130041040 is a wasteful number, since it uses less digits than its factorization.

21130041040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32599 (or 32593 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 21130041040 its reverse (4014003112), we get a palindrome (25144044152).

The spelling of 21130041040 in words is "twenty-one billion, one hundred thirty million, forty-one thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 15137 17449 30274 34898 60548 69796 75685 87245 121096 139592 151370 174490 242192 279184 302740 348980 605480 697960 1210960 1395920 264125513 528251026 1056502052 1320627565 2113004104 2641255130 4226008208 5282510260 10565020520 21130041040