Search a number
-
+
1022244122340 = 2233577123915937
BaseRepresentation
bin11101110000000100111…
…11110110111011100100
310121201120221122220212000
432320002133312323210
5113222023443403330
62101340143125300
7133566106446450
oct16700237667344
93551527586760
101022244122340
11364593180281
1214614b5a3830
1375521882acc
14376967b3660
151b8ce517560
hexee027f6ee4

1022244122340 has 384 divisors, whose sum is σ = 3701492121600. Its totient is φ = 229386608640.

The previous prime is 1022244122299. The next prime is 1022244122353. The reversal of 1022244122340 is 432214422201.

It is a happy number.

1022244122340 is a `hidden beast` number, since 1 + 0 + 2 + 224 + 412 + 23 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 64134852 + ... + 64150788.

It is an arithmetic number, because the mean of its divisors is an integer number (9639302400).

Almost surely, 21022244122340 is an apocalyptic number.

1022244122340 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 1022244122340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1850746060800).

1022244122340 is an abundant number, since it is smaller than the sum of its proper divisors (2679247999260).

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

1022244122340 is a wasteful number, since it uses less digits than its factorization.

1022244122340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16272 (or 16264 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 1022244122340 its reverse (432214422201), we get a palindrome (1454458544541).

The spelling of 1022244122340 in words is "one trillion, twenty-two billion, two hundred forty-four million, one hundred twenty-two thousand, three hundred forty".