Search a number
-
+
10222021122120 = 23325151409459763
BaseRepresentation
bin1001010010111111111111…
…1100000001100001001000
31100012012211020010211220100
42110233333330001201020
52314434144401401440
633423533124125400
72103342132631443
oct224577774014110
940165736124810
1010222021122120
1132911534881a5
12119111a236860
13591c177b3772
14274a69acc65a
1512ad717b9230
hex94bfff01848

10222021122120 has 192 divisors, whose sum is σ = 33523416201600. Its totient is φ = 2701193702400.

The previous prime is 10222021122107. The next prime is 10222021122197. The reversal of 10222021122120 is 2122112022201.

It is a happy number.

10222021122120 is a `hidden beast` number, since 10 + 2 + 220 + 211 + 221 + 2 + 0 = 666.

10222021122120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 10222021122093 and 10222021122102.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22003359 + ... + 22463121.

It is an arithmetic number, because the mean of its divisors is an integer number (174601126050).

Almost surely, 210222021122120 is an apocalyptic number.

10222021122120 is a gapful number since it is divisible by the number (10) 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 10222021122120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16761708100800).

10222021122120 is an abundant number, since it is smaller than the sum of its proper divisors (23301395079480).

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

10222021122120 is a wasteful number, since it uses less digits than its factorization.

10222021122120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 460340 (or 460333 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 10222021122120 its reverse (2122112022201), we get a palindrome (12344133144321).

The spelling of 10222021122120 in words is "ten trillion, two hundred twenty-two billion, twenty-one million, one hundred twenty-two thousand, one hundred twenty".