Search a number
-
+
1022221001100 = 22352135310746219
BaseRepresentation
bin11101110000000010001…
…11101010000110001100
310121201112100011020110210
432320001013222012030
5113222002034013400
62101333555402420
7133565406100545
oct16700107520614
93551470136423
101022221001100
11364581118a12
121461438b3410
1375519b48ac0
14376936b54cc
151b8cc49b950
hexee011ea18c

1022221001100 has 288 divisors, whose sum is σ = 3275632846080. Its totient is φ = 244563471360.

The previous prime is 1022221001041. The next prime is 1022221001143. The reversal of 1022221001100 is 11001222201.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 22093791 + ... + 22140009.

It is an arithmetic number, because the mean of its divisors is an integer number (11373725160).

Almost surely, 21022221001100 is an apocalyptic number.

1022221001100 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 1022221001100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1637816423040).

1022221001100 is an abundant number, since it is smaller than the sum of its proper divisors (2253411844980).

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

1022221001100 is a wasteful number, since it uses less digits than its factorization.

1022221001100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46409 (or 46402 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 1022221001100 its reverse (11001222201), we get a palindrome (1033222223301).

The spelling of 1022221001100 in words is "one trillion, twenty-two billion, two hundred twenty-one million, one thousand, one hundred".