Search a number
-
+
1011210222000 = 24353112937109131
BaseRepresentation
bin11101011011100001101…
…00110111100110110000
310120200002222102201002110
432231300310313212300
5113031424304101000
62052313224245320
7133025506032006
oct16556064674660
93520088381073
101011210222000
1135a940898680
12143b90310840
13744839190b4
1436d2b1daa76
151b4859cd850
hexeb70d379b0

1011210222000 has 1280 divisors, whose sum is σ = 3842368358400. Its totient is φ = 226437120000.

The previous prime is 1011210221993. The next prime is 1011210222017. The reversal of 1011210222000 is 2220121101.

It is a super-2 number, since 2×10112102220002 (a number of 25 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 7719161935 + ... + 7719162065.

It is an arithmetic number, because the mean of its divisors is an integer number (3001850280).

Almost surely, 21011210222000 is an apocalyptic number.

1011210222000 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 1011210222000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1921184179200).

1011210222000 is an abundant number, since it is smaller than the sum of its proper divisors (2831158136400).

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

1011210222000 is a wasteful number, since it uses less digits than its factorization.

1011210222000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 343 (or 327 counting only the distinct ones).

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

Adding to 1011210222000 its reverse (2220121101), we get a palindrome (1013430343101).

The spelling of 1011210222000 in words is "one trillion, eleven billion, two hundred ten million, two hundred twenty-two thousand".