Search a number
-
+
21223010311120 = 245265287628889
BaseRepresentation
bin1001101001101010111011…
…11111011001101111010000
32210010220022002010112102101
410310311131333121233100
510240204211114423440
6113045414421330144
74320211660111042
oct464653577315720
983126262115371
1021223010311120
1168426a0046482
1224691b3266954
13bac423b2ac47
145352b0799a92
1526c0d4c1b69a
hex134d5dfd9bd0

21223010311120 has 20 divisors (see below), whose sum is σ = 49343498973540. Its totient is φ = 8489204124416.

The previous prime is 21223010311079. The next prime is 21223010311177. The reversal of 21223010311120 is 2111301032212.

It can be written as a sum of positive squares in 2 ways, for example, as 6371605833616 + 14851404477504 = 2524204^2 + 3853752^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 132643814365 + ... + 132643814524.

It is an arithmetic number, because the mean of its divisors is an integer number (2467174948677).

Almost surely, 221223010311120 is an apocalyptic number.

21223010311120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21223010311120 is an abundant number, since it is smaller than the sum of its proper divisors (28120488662420).

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

21223010311120 is a wasteful number, since it uses less digits than its factorization.

21223010311120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 265287628902 (or 265287628896 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 19.

Adding to 21223010311120 its reverse (2111301032212), we get a palindrome (23334311343332).

The spelling of 21223010311120 in words is "twenty-one trillion, two hundred twenty-three billion, ten million, three hundred eleven thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 265287628889 530575257778 1061150515556 1326438144445 2122301031112 2652876288890 4244602062224 5305752577780 10611505155560 21223010311120