Search a number
-
+
1012022200000 = 265574316811
BaseRepresentation
bin11101011101000010011…
…10010100011011000000
310120202012120022110111201
432232201032110123000
5113040110140400000
62052525551550544
7133054565523550
oct16564116243300
93522176273451
101012022200000
1136021816a779
1214417822b454
1374582c03c56
1436da6da3160
151b4d1e1e96a
hexeba13946c0

1012022200000 has 336 divisors, whose sum is σ = 2935607609088. Its totient is φ = 338889600000.

The previous prime is 1012022199973. The next prime is 1012022200001. The reversal of 1012022200000 is 22202101.

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

It is a self number, because there is not a number n which added to its sum of digits gives 1012022200000.

It is not an unprimeable number, because it can be changed into a prime (1012022200001) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 60191595 + ... + 60208405.

It is an arithmetic number, because the mean of its divisors is an integer number (8736927408).

Almost surely, 21012022200000 is an apocalyptic number.

1012022200000 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 1012022200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1467803804544).

1012022200000 is an abundant number, since it is smaller than the sum of its proper divisors (1923585409088).

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

1012022200000 is an frugal number, since it uses more digits than its factorization.

1012022200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16898 (or 16868 counting only the distinct ones).

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

Adding to 1012022200000 its reverse (22202101), we get a palindrome (1012044402101).

The spelling of 1012022200000 in words is "one trillion, twelve billion, twenty-two million, two hundred thousand".