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21113432340 = 2235711131033413
BaseRepresentation
bin10011101010011101…
…010110100100010100
32000111102122111021120
4103222131112210110
5321220014313330
613411022043540
71345132133220
oct235235264424
960442574246
1021113432340
118a54a89240
124112a195b0
131cb627c540
14104411d780
158388a6c10
hex4ea756914

21113432340 has 384 divisors, whose sum is σ = 80168804352. Its totient is φ = 4009236480.

The previous prime is 21113432321. The next prime is 21113432357. The reversal of 21113432340 is 4323431112.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 21113432340.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 6184474 + ... + 6187886.

It is an arithmetic number, because the mean of its divisors is an integer number (208772928).

Almost surely, 221113432340 is an apocalyptic number.

21113432340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21113432340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40084402176).

21113432340 is an abundant number, since it is smaller than the sum of its proper divisors (59055372012).

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

21113432340 is a wasteful number, since it uses less digits than its factorization.

21113432340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3559 (or 3557 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 21113432340 its reverse (4323431112), we get a palindrome (25436863452).

The spelling of 21113432340 in words is "twenty-one billion, one hundred thirteen million, four hundred thirty-two thousand, three hundred forty".