Search a number
-
+
1221010200 = 2334522329113
BaseRepresentation
bin100100011000111…
…0010001100011000
310011002112202010000
41020301302030120
510000034311300
6321054253000
742154262334
oct11061621430
93132482100
101221010200
11577257043
122a0ab7160
13165c6c657
14b823c7c4
15722dac00
hex48c72318

1221010200 has 480 divisors, whose sum is σ = 4618231200. Its totient is φ = 298045440.

The previous prime is 1221010199. The next prime is 1221010201. The reversal of 1221010200 is 20101221.

It is an interprime number because it is at equal distance from previous prime (1221010199) and next prime (1221010201).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1221010201) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 10805344 + ... + 10805456.

It is an arithmetic number, because the mean of its divisors is an integer number (9621315).

Almost surely, 21221010200 is an apocalyptic number.

1221010200 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 1221010200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2309115600).

1221010200 is an abundant number, since it is smaller than the sum of its proper divisors (3397221000).

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

1221010200 is a wasteful number, since it uses less digits than its factorization.

1221010200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193 (or 175 counting only the distinct ones).

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

The square root of 1221010200 is about 34942.9563717783. The cubic root of 1221010200 is about 1068.8245746670.

Adding to 1221010200 its reverse (20101221), we get a palindrome (1241111421).

The spelling of 1221010200 in words is "one billion, two hundred twenty-one million, ten thousand, two hundred".