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2022111311220 = 223257211133743331
BaseRepresentation
bin11101011011001111001…
…110011111010101110100
321011022102102011211201200
4131123033032133111310
5231112240443424340
64144540051052500
7266043542356200
oct35331716372564
97138372154650
102022111311220
1170a633134210
12287a94ba1130
131188b848a490
146dc29327b00
15378ee297330
hex1d6cf39f574

2022111311220 has 864 divisors, whose sum is σ = 8609325169536. Its totient is φ = 377366169600.

The previous prime is 2022111311203. The next prime is 2022111311251. The reversal of 2022111311220 is 221131112202.

2022111311220 is a `hidden beast` number, since 2 + 0 + 22 + 111 + 311 + 220 = 666.

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 = 2022111311193 and 2022111311202.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 46644955 + ... + 46688285.

It is an arithmetic number, because the mean of its divisors is an integer number (9964496724).

Almost surely, 22022111311220 is an apocalyptic number.

2022111311220 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 2022111311220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4304662584768).

2022111311220 is an abundant number, since it is smaller than the sum of its proper divisors (6587213858316).

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

2022111311220 is a wasteful number, since it uses less digits than its factorization.

2022111311220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43421 (or 43409 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 2022111311220 its reverse (221131112202), we get a palindrome (2243242423422).

The spelling of 2022111311220 in words is "two trillion, twenty-two billion, one hundred eleven million, three hundred eleven thousand, two hundred twenty".