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1201020210 = 236513192329
BaseRepresentation
bin100011110010110…
…0001110100110010
310002200221011000000
41013211201310302
54424430121320
6315102010430
741522334435
oct10745416462
93080834000
101201020210
11566a43295
12296276a16
13161a90960
14b571781c
157068cc90
hex47961d32

1201020210 has 448 divisors, whose sum is σ = 3966278400. Its totient is φ = 258660864.

The previous prime is 1201020203. The next prime is 1201020211. The reversal of 1201020210 is 120201021.

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 = 1201020192 and 1201020201.

It is not an unprimeable number, because it can be changed into a prime (1201020211) by changing a digit.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 41414476 + ... + 41414504.

It is an arithmetic number, because the mean of its divisors is an integer number (8853300).

Almost surely, 21201020210 is an apocalyptic number.

1201020210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1201020210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1983139200).

1201020210 is an abundant number, since it is smaller than the sum of its proper divisors (2765258190).

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

1201020210 is a wasteful number, since it uses less digits than its factorization.

1201020210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109 (or 94 counting only the distinct ones).

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

The square root of 1201020210 is about 34655.7384858554. The cubic root of 1201020210 is about 1062.9596324629.

Adding to 1201020210 its reverse (120201021), we get a palindrome (1321221231).

The spelling of 1201020210 in words is "one billion, two hundred one million, twenty thousand, two hundred ten".