Search a number
-
+
1022212000000 = 28562341271
BaseRepresentation
bin11101110000000001001…
…01010100100100000000
310121201111201012221021201
432320000211110210000
5113221442233000000
62101333034430544
7133565236431352
oct16700045244400
93551451187251
101022212000000
11364577030294
12146140892454
1375518016ac9
14376924110d2
151b8cb7be96a
hexee00954900

1022212000000 has 504 divisors, whose sum is σ = 2736369974016. Its totient is φ = 380160000000.

The previous prime is 1022211999989. The next prime is 1022212000027. The reversal of 1022212000000 is 2122201.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

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 55 ways as a sum of consecutive naturals, for example, 3771999865 + ... + 3772000135.

It is an arithmetic number, because the mean of its divisors is an integer number (5429305504).

Almost surely, 21022212000000 is an apocalyptic number.

1022212000000 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 1022212000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1368184987008).

1022212000000 is an abundant number, since it is smaller than the sum of its proper divisors (1714157974016).

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

1022212000000 is an frugal number, since it uses more digits than its factorization.

1022212000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 381 (or 342 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 1022212000000 its reverse (2122201), we get a palindrome (1022214122201).

The spelling of 1022212000000 in words is "one trillion, twenty-two billion, two hundred twelve million", and thus it is an aban number.