Search a number
-
+
10221000200 = 235251105001
BaseRepresentation
bin10011000010011100…
…00001011000001000
3222101022121121101222
421201032001120020
5131413034001300
64410115301212
7511200032255
oct114116013010
928338547358
1010221000200
114375540804
121b92baa808
13c6b718218
146cd65042c
153ec4b4785
hex261381608

10221000200 has 24 divisors (see below), whose sum is σ = 23763825930. Its totient is φ = 4088400000.

The previous prime is 10221000161. The next prime is 10221000203. The reversal of 10221000200 is 200012201.

It can be written as a sum of positive squares in 3 ways, for example, as 8564021764 + 1656978436 = 92542^2 + 40706^2 .

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

It is not an unprimeable number, because it can be changed into a prime (10221000203) 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 5 ways as a sum of consecutive naturals, for example, 25552301 + ... + 25552700.

Almost surely, 210221000200 is an apocalyptic number.

10221000200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10221000200 is an abundant number, since it is smaller than the sum of its proper divisors (13542825730).

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

10221000200 is a wasteful number, since it uses less digits than its factorization.

10221000200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51105017 (or 51105008 counting only the distinct ones).

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

Adding to 10221000200 its reverse (200012201), we get a palindrome (10421012401).

The spelling of 10221000200 in words is "ten billion, two hundred twenty-one million, two hundred", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 51105001 102210002 204420004 255525005 408840008 511050010 1022100020 1277625025 2044200040 2555250050 5110500100 10221000200