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2210212201002 = 23136726439817
BaseRepresentation
bin100000001010011010111…
…010011100001000101010
321211021221111012002122020
4200022122322130020222
5242203003310413002
64411205114005310
7315453055505601
oct40123272341052
97737844162566
102210212201002
11782389192823
122b842b716836
1313056450a620
1478d90d70a38
153c75cc792bc
hex2029ae9c22a

2210212201002 has 96 divisors (see below), whose sum is σ = 4840577808192. Its totient is φ = 668805071616.

The previous prime is 2210212200997. The next prime is 2210212201051. The reversal of 2210212201002 is 2001022120122.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 225136398 + ... + 225146214.

It is an arithmetic number, because the mean of its divisors is an integer number (50422685502).

Almost surely, 22210212201002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2210212201002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2420288904096).

2210212201002 is an abundant number, since it is smaller than the sum of its proper divisors (2630365607190).

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

2210212201002 is a wasteful number, since it uses less digits than its factorization.

2210212201002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10612 (or 10545 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 2210212201002 its reverse (2001022120122), we get a palindrome (4211234321124).

The spelling of 2210212201002 in words is "two trillion, two hundred ten billion, two hundred twelve million, two hundred one thousand, two".

Divisors: 1 2 3 6 13 26 39 67 78 134 201 402 643 871 1286 1742 1929 2613 3858 4489 5226 8359 8978 9817 13467 16718 19634 25077 26934 29451 43081 50154 58357 58902 86162 116714 127621 129243 175071 255242 258486 350142 382863 560053 657739 765726 1120106 1315478 1680159 1973217 2886427 3360318 3946434 5772854 6312331 8550607 8659281 12624662 17101214 17318562 18936993 25651821 37523551 37873986 44068513 51303642 75047102 82060303 88137026 112570653 132205539 164120606 225141306 246180909 264411078 422926177 492361818 572890669 845852354 1145781338 1268778531 1718672007 2537557062 3437344014 5498040301 10996080602 16494120903 28336053859 32988241806 56672107718 85008161577 170016323154 368368700167 736737400334 1105106100501 2210212201002