Search a number
-
+
21110321120 = 255722692643
BaseRepresentation
bin10011101010010001…
…011110111111100000
32000111012210102111012
4103222101132333200
5321213220233440
613410431240052
71345063524500
oct235221367740
960435712435
1021110321120
118a53253789
124111979028
131cb5730395
14104394da00
1583848ee65
hex4ea45efe0

21110321120 has 72 divisors (see below), whose sum is σ = 58015707624. Its totient is φ = 7237821696.

The previous prime is 21110321117. The next prime is 21110321123. The reversal of 21110321120 is 2112301112.

It is an interprime number because it is at equal distance from previous prime (21110321117) and next prime (21110321123).

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 21110321095 and 21110321104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21110321123) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 1338482 + ... + 1354161.

It is an arithmetic number, because the mean of its divisors is an integer number (805773717).

Almost surely, 221110321120 is an apocalyptic number.

21110321120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21110321120 is an abundant number, since it is smaller than the sum of its proper divisors (36905386504).

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

21110321120 is a wasteful number, since it uses less digits than its factorization.

21110321120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2692672 (or 2692657 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 14.

Adding to 21110321120 its reverse (2112301112), we get a palindrome (23222622232).

The spelling of 21110321120 in words is "twenty-one billion, one hundred ten million, three hundred twenty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 49 56 70 80 98 112 140 160 196 224 245 280 392 490 560 784 980 1120 1568 1960 3920 7840 2692643 5385286 10770572 13463215 18848501 21541144 26926430 37697002 43082288 53852860 75394004 86164576 94242505 107705720 131939507 150788008 188485010 215411440 263879014 301576016 376970020 430822880 527758028 603152032 659697535 753940040 1055516056 1319395070 1507880080 2111032112 2638790140 3015760160 4222064224 5277580280 10555160560 21110321120