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21231121120 = 25511831011439
BaseRepresentation
bin10011110001011110…
…010011001011100000
32000210122002200221021
4103301132103023200
5321440131333440
613430424335224
71351061360206
oct236136231340
960718080837
1021231121120
1190054615a0
124146314514
132004777481
1410559d7076
15843da284a
hex4f17932e0

21231121120 has 192 divisors, whose sum is σ = 55964805120. Its totient is φ = 7546624000.

The previous prime is 21231121117. The next prime is 21231121127. The reversal of 21231121120 is 2112113212.

It is a super-2 number, since 2×212311211202 (a number of 21 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 21231121094 and 21231121103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21231121127) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 14753361 + ... + 14754799.

It is an arithmetic number, because the mean of its divisors is an integer number (291483360).

Almost surely, 221231121120 is an apocalyptic number.

21231121120 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 21231121120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27982402560).

21231121120 is an abundant number, since it is smaller than the sum of its proper divisors (34733684000).

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

21231121120 is a wasteful number, since it uses less digits than its factorization.

21231121120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1649 (or 1641 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 21231121120 its reverse (2112113212), we get a palindrome (23343234332).

The spelling of 21231121120 in words is "twenty-one billion, two hundred thirty-one million, one hundred twenty-one thousand, one hundred twenty".