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210202441440133 = 4161123767944509
BaseRepresentation
bin101111110010110110010001…
…110110100101101110000101
31000120021011020120011000010211
4233302312101312211232011
5210022424100002041013
62023021400221115421
762163424311556312
oct5762662166455605
91016234216130124
10210202441440133
1160a8239a25468a
121b6aa7843b8b71
13903a00b4a13ac
1439c9bd119dd09
151947cab96623d
hexbf2d91da5b85

210202441440133 has 16 divisors (see below), whose sum is σ = 219036250001520. Its totient is φ = 201550588531200.

The previous prime is 210202441440127. The next prime is 210202441440137. The reversal of 210202441440133 is 331044144202012.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 60673615112929 + 149528826327204 = 7789327^2 + 12228198^2 .

It is a cyclic number.

It is not a de Polignac number, because 210202441440133 - 221 = 210202439342981 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 210202441440095 and 210202441440104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (210202441440137) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30878518 + ... + 37065991.

It is an arithmetic number, because the mean of its divisors is an integer number (13689765625095).

Almost surely, 2210202441440133 is an apocalyptic number.

It is an amenable number.

210202441440133 is a deficient number, since it is larger than the sum of its proper divisors (8833808561387).

210202441440133 is a wasteful number, since it uses less digits than its factorization.

210202441440133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67945848.

The product of its (nonzero) digits is 18432, while the sum is 31.

Adding to 210202441440133 its reverse (331044144202012), we get a palindrome (541246585642145).

The spelling of 210202441440133 in words is "two hundred ten trillion, two hundred two billion, four hundred forty-one million, four hundred forty thousand, one hundred thirty-three".

Divisors: 1 41 61 1237 2501 50717 75457 3093737 67944509 2785724869 4144615049 84047357633 169929217009 3445941662953 5126888815613 210202441440133