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213202002 = 231319263547
BaseRepresentation
bin11001011010100…
…11010001010010
3112212011210011110
430231103101102
5414034431002
633053354150
75166121116
oct1455232122
9485153143
10213202002
11aa38a902
125b498956
133522a440
142045b746
1513ab5e6c
hexcb53452

213202002 has 64 divisors (see below), whose sum is σ = 486097920. Its totient is φ = 61798464.

The previous prime is 213202001. The next prime is 213202027. The reversal of 213202002 is 200202312.

It is not an unprimeable number, because it can be changed into a prime (213202001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 389493 + ... + 390039.

It is an arithmetic number, because the mean of its divisors is an integer number (7595280).

Almost surely, 2213202002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213202002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243048960).

213202002 is an abundant number, since it is smaller than the sum of its proper divisors (272895918).

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

213202002 is a wasteful number, since it uses less digits than its factorization.

213202002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 847.

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 213202002 is about 14601.4383538061. The cubic root of 213202002 is about 597.3979933586.

Adding to 213202002 its reverse (200202312), we get a palindrome (413404314).

It can be divided in two parts, 21 and 3202002, that added together give a palindrome (3202023).

The spelling of 213202002 in words is "two hundred thirteen million, two hundred two thousand, two".

Divisors: 1 2 3 6 13 19 26 38 39 57 78 114 247 263 494 526 547 741 789 1094 1482 1578 1641 3282 3419 4997 6838 7111 9994 10257 10393 14222 14991 20514 20786 21333 29982 31179 42666 62358 64961 129922 135109 143861 194883 270218 287722 389766 405327 431583 810654 863166 1870193 2733359 3740386 5466718 5610579 8200077 11221158 16400154 35533667 71067334 106601001 213202002