Search a number
-
+
20210005200 = 24352711218723
BaseRepresentation
bin10010110100100111…
…000011010011010000
31221011110200122020010
4102310213003103100
5312342230131300
613141230314520
71313552131650
oct226447032320
957143618203
1020210005200
118631026040
123b00358a40
131ba1055c78
14d9a150360
157d43eea50
hex4b49c34d0

20210005200 has 240 divisors, whose sum is σ = 80714405376. Its totient is φ = 4199462400.

The previous prime is 20210005187. The next prime is 20210005213. The reversal of 20210005200 is 250001202.

It is an interprime number because it is at equal distance from previous prime (20210005187) and next prime (20210005213).

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16962 + ... + 201761.

Almost surely, 220210005200 is an apocalyptic number.

20210005200 is a gapful number since it is divisible by the number (20) 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 20210005200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40357202688).

20210005200 is an abundant number, since it is smaller than the sum of its proper divisors (60504400176).

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

20210005200 is a wasteful number, since it uses less digits than its factorization.

20210005200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218762 (or 218751 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 12.

Adding to 20210005200 its reverse (250001202), we get a palindrome (20460006402).

The spelling of 20210005200 in words is "twenty billion, two hundred ten million, five thousand, two hundred".