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3210000201001 = 112233734915493
BaseRepresentation
bin101110101101100010111…
…010111111010100101001
3102100212120102200210210101
4232231202322333110221
5410043040022413001
610454353112345401
7450625540341046
oct56554272772451
912325512623711
103210000201001
111028398479a00
1243a1526a5261
131a39178a9b79
14b15171901cd
1558775ab5a01
hex2eb62ebf529

3210000201001 has 24 divisors (see below), whose sum is σ = 3544201369800. Its totient is φ = 2905074712320.

The previous prime is 3210000200963. The next prime is 3210000201007. The reversal of 3210000201001 is 1001020000123.

It can be written as a sum of positive squares in 4 ways, for example, as 6777240976 + 3203222960025 = 82324^2 + 1789755^2 .

It is not a de Polignac number, because 3210000201001 - 27 = 3210000200873 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3210000201007) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 207182611 + ... + 207198103.

It is an arithmetic number, because the mean of its divisors is an integer number (147675057075).

Almost surely, 23210000201001 is an apocalyptic number.

It is an amenable number.

3210000201001 is a deficient number, since it is larger than the sum of its proper divisors (334201168799).

3210000201001 is a wasteful number, since it uses less digits than its factorization.

3210000201001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23097 (or 23086 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

Adding to 3210000201001 its reverse (1001020000123), we get a palindrome (4211020201124).

The spelling of 3210000201001 in words is "three trillion, two hundred ten billion, two hundred one thousand, one".

Divisors: 1 11 121 233 2563 7349 15493 28193 80839 170423 889229 1712317 1874653 3609869 18835487 39708559 113858057 207190357 436794149 1252438627 13776824897 26528927281 291818200091 3210000201001