Search a number
-
+
1022211000000 = 263256532143
BaseRepresentation
bin11101110000000001000…
…01100000011011000000
310121201111122100010112200
432320000201200123000
5113221442004000000
62101333001153200
7133565225065041
oct16700041403300
93551448303480
101022211000000
11364576507a43
1214614048b800
1375517a568a8
14376922308c8
151b8cb673500
hexee008606c0

1022211000000 has 588 divisors, whose sum is σ = 3733275963456. Its totient is φ = 267321600000.

The previous prime is 1022210999941. The next prime is 1022211000067. The reversal of 1022211000000 is 1122201.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 476998929 + ... + 477001071.

Almost surely, 21022211000000 is an apocalyptic number.

1022211000000 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 1022211000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1866637981728).

1022211000000 is an abundant number, since it is smaller than the sum of its proper divisors (2711064963456).

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

1022211000000 is an frugal number, since it uses more digits than its factorization.

1022211000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2244 (or 2206 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 1022211000000 its reverse (1122201), we get a palindrome (1022212122201).

The spelling of 1022211000000 in words is "one trillion, twenty-two billion, two hundred eleven million", and thus it is an aban number.