Search a number
-
+
2022211002120 = 23351743177712973
BaseRepresentation
bin11101011011010101001…
…010110001111100001000
321011022200100202122221020
4131123111022301330020
5231112442004031440
64144554011512440
7266046162623211
oct35332512617410
97138610678836
102022211002120
1170a684434491
12287b02458720
1311890302338a
146dc38678408
1537907dda3d0
hex1d6d52b1f08

2022211002120 has 256 divisors, whose sum is σ = 6577083152640. Its totient is φ = 495415001088.

The previous prime is 2022211002107. The next prime is 2022211002127. The reversal of 2022211002120 is 212001122202.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 2022211002120.

It is not an unprimeable number, because it can be changed into a prime (2022211002127) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 155871954 + ... + 155884926.

It is an arithmetic number, because the mean of its divisors is an integer number (25691731065).

Almost surely, 22022211002120 is an apocalyptic number.

2022211002120 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 2022211002120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3288541576320).

2022211002120 is an abundant number, since it is smaller than the sum of its proper divisors (4554872150520).

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

2022211002120 is a wasteful number, since it uses less digits than its factorization.

2022211002120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14824 (or 14820 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 2022211002120 its reverse (212001122202), we get a palindrome (2234212124322).

The spelling of 2022211002120 in words is "two trillion, twenty-two billion, two hundred eleven million, two thousand, one hundred twenty".