Search a number
-
+
21303113100 = 22352174177081
BaseRepresentation
bin10011110101110000…
…111011010110001100
32000222122120021100220
4103311300323112030
5322112044104400
613441515351340
71352624321313
oct236560732614
960878507326
1021303113100
1190420631a5
124166452550
132016662889
1410613b727a
1584a3737a0
hex4f5c3b58c

21303113100 has 72 divisors (see below), whose sum is σ = 65262729168. Its totient is φ = 5346662400.

The previous prime is 21303113099. The next prime is 21303113147. The reversal of 21303113100 is 131130312.

It is a super-2 number, since 2×213031131002 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 21303113100.

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 23 ways as a sum of consecutive naturals, for example, 2083441 + ... + 2093640.

It is an arithmetic number, because the mean of its divisors is an integer number (906426794).

Almost surely, 221303113100 is an apocalyptic number.

21303113100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21303113100 is an abundant number, since it is smaller than the sum of its proper divisors (43959616068).

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

21303113100 is a wasteful number, since it uses less digits than its factorization.

21303113100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4177115 (or 4177108 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 15.

Adding to 21303113100 its reverse (131130312), we get a palindrome (21434243412).

The spelling of 21303113100 in words is "twenty-one billion, three hundred three million, one hundred thirteen thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 25 30 34 50 51 60 68 75 85 100 102 150 170 204 255 300 340 425 510 850 1020 1275 1700 2550 5100 4177081 8354162 12531243 16708324 20885405 25062486 41770810 50124972 62656215 71010377 83541620 104427025 125312430 142020754 208854050 213031131 250624860 284041508 313281075 355051885 417708100 426062262 626562150 710103770 852124524 1065155655 1253124300 1420207540 1775259425 2130311310 3550518850 4260622620 5325778275 7101037700 10651556550 21303113100