Search a number
-
+
1120212122022 = 232731953180179
BaseRepresentation
bin10000010011010001110…
…110000111100110100110
310222002110111201221200200
4100103101312013212212
5121323143300401042
62214341321251330
7143634620634000
oct20232166074646
93862414657620
101120212122022
113a20965a2474
12161130933b46
13818353c28a6
143c30ba09370
151e21516cc4c
hex104d1d879a6

1120212122022 has 192 divisors, whose sum is σ = 3035672640000. Its totient is φ = 297492616512.

The previous prime is 1120212122021. The next prime is 1120212122023. The reversal of 1120212122022 is 2202212120211.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1120212122021) and next prime (1120212122023).

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 = 1120212121986 and 1120212122004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1120212122021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6127129 + ... + 6307307.

It is an arithmetic number, because the mean of its divisors is an integer number (15810795000).

Almost surely, 21120212122022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1120212122022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1517836320000).

1120212122022 is an abundant number, since it is smaller than the sum of its proper divisors (1915460517978).

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

1120212122022 is a wasteful number, since it uses less digits than its factorization.

1120212122022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180280 (or 180263 counting only the distinct ones).

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

Adding to 1120212122022 its reverse (2202212120211), we get a palindrome (3322424242233).

The spelling of 1120212122022 in words is "one trillion, one hundred twenty billion, two hundred twelve million, one hundred twenty-two thousand, twenty-two".