Search a number
-
+
2000103210 = 2325717199829
BaseRepresentation
bin111011100110111…
…0010011100101010
312011101112202210200
41313031302130222
513044011300320
6530245053030
7100364411460
oct16715623452
95141482720
102000103210
11937008166
124799b7176
1325b4b2331
1414d8c4830
15ba8d3290
hex7737272a

2000103210 has 192 divisors, whose sum is σ = 6624633600. Its totient is φ = 407586816.

The previous prime is 2000103187. The next prime is 2000103251. The reversal of 2000103210 is 123010002.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 2000103192 and 2000103201.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 198576 + ... + 208404.

It is an arithmetic number, because the mean of its divisors is an integer number (34503300).

Almost surely, 22000103210 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2000103210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3312316800).

2000103210 is an abundant number, since it is smaller than the sum of its proper divisors (4624530390).

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

2000103210 is a wasteful number, since it uses less digits than its factorization.

2000103210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9885 (or 9882 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 2000103210 is about 44722.5134579889. The cubic root of 2000103210 is about 1259.9427222640.

Adding to 2000103210 its reverse (123010002), we get a palindrome (2123113212).

The spelling of 2000103210 in words is "two billion, one hundred three thousand, two hundred ten".