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1012220000 = 25541143107
BaseRepresentation
bin111100010101010…
…100000001100000
32121112200002210122
4330111110001200
54033112020000
6244235215412
734040504501
oct7425240140
92545602718
101012220000
1147a40a960
12242ba7568
1313192835c
149860cba8
155dce7085
hex3c554060

1012220000 has 240 divisors, whose sum is σ = 2805751872. Its totient is φ = 356160000.

The previous prime is 1012219993. The next prime is 1012220009. The reversal of 1012220000 is 222101.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a self number, because there is not a number n which added to its sum of digits gives 1012220000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1012220009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 9459947 + ... + 9460053.

Almost surely, 21012220000 is an apocalyptic number.

1012220000 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 1012220000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1402875936).

1012220000 is an abundant number, since it is smaller than the sum of its proper divisors (1793531872).

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

1012220000 is a wasteful number, since it uses less digits than its factorization.

1012220000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191 (or 168 counting only the distinct ones).

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

The square root of 1012220000 is about 31815.4050736432. The cubic root of 1012220000 is about 1004.0568530209.

Adding to 1012220000 its reverse (222101), we get a palindrome (1012442101).

The spelling of 1012220000 in words is "one billion, twelve million, two hundred twenty thousand".