Search a number
-
+
12200010102 = 23372411071051
BaseRepresentation
bin10110101110010110…
…10110000101110110
31011111020110201122000
423113023112011312
5144441200310402
65334332320130
7611220242400
oct132713260566
934436421560
1012200010102
1151a0651185
122445913046
1311c57235b7
1483a403b70
154b60ccc1c
hex2d72d6176

12200010102 has 192 divisors, whose sum is σ = 32639604480. Its totient is φ = 3365712000.

The previous prime is 12200010089. The next prime is 12200010107. The reversal of 12200010102 is 20101000221.

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 (12200010107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11607477 + ... + 11608527.

It is an arithmetic number, because the mean of its divisors is an integer number (169997940).

Almost surely, 212200010102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12200010102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16319802240).

12200010102 is an abundant number, since it is smaller than the sum of its proper divisors (20439594378).

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

12200010102 is a wasteful number, since it uses less digits than its factorization.

12200010102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1224 (or 1211 counting only the distinct ones).

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

Adding to 12200010102 its reverse (20101000221), we get a palindrome (32301010323).

The spelling of 12200010102 in words is "twelve billion, two hundred million, ten thousand, one hundred two".