Search a number
-
+
1022001210000 = 24325443264083
BaseRepresentation
bin11101101111101000000…
…01001110001010010000
310121200222000120200202200
432313310001032022100
5113221024302210000
62101300104443200
7133560066644301
oct16676401161220
93550860520680
101022001210000
11364479048681
121460a2179500
13754b34524b4
14376724207a8
151b8b8033500
hexedf404e290

1022001210000 has 300 divisors, whose sum is σ = 3657217978128. Its totient is φ = 266194656000.

The previous prime is 1022001209989. The next prime is 1022001210019. The reversal of 1022001210000 is 121002201.

It is a tau number, because it is divible by the number of its divisors (300).

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

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 3737959 + ... + 4002041.

Almost surely, 21022001210000 is an apocalyptic number.

1022001210000 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 1022001210000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1828608989064).

1022001210000 is an abundant number, since it is smaller than the sum of its proper divisors (2635216768128).

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

1022001210000 is a wasteful number, since it uses less digits than its factorization.

1022001210000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 264160 (or 264136 counting only the distinct ones).

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

Adding to 1022001210000 its reverse (121002201), we get a palindrome (1022122212201).

The spelling of 1022001210000 in words is "one trillion, twenty-two billion, one million, two hundred ten thousand".