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212012201021021 = 17291433300101209
BaseRepresentation
bin110000001101001011101111…
…111011100000111001011101
31000210200011112211002020201022
4300031023233323200321131
5210242101441430133041
62030525021025453525
762441242661313062
oct6015135773407135
91023604484066638
10212012201021021
116160a9623698a5
121b9414751a12a5
13913b88466721b
143a4d633bcac69
151979dcd1dc24b
hexc0d2efee0e5d

212012201021021 has 16 divisors (see below), whose sum is σ = 232386372975600. Its totient is φ = 192525728575488.

The previous prime is 212012201021003. The next prime is 212012201021039. The reversal of 212012201021021 is 120120102210212.

It is an interprime number because it is at equal distance from previous prime (212012201021003) and next prime (212012201021039).

It can be written as a sum of positive squares in 8 ways, for example, as 2223453765625 + 209788747255396 = 1491125^2 + 14484086^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-212012201021021 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212012201021521) 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, 149344136 + ... + 150757073.

It is an arithmetic number, because the mean of its divisors is an integer number (14524148310975).

Almost surely, 2212012201021021 is an apocalyptic number.

It is an amenable number.

212012201021021 is a deficient number, since it is larger than the sum of its proper divisors (20374171954579).

212012201021021 is a wasteful number, since it uses less digits than its factorization.

212012201021021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 300102688.

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 212012201021021 its reverse (120120102210212), we get a palindrome (332132303231233).

The spelling of 212012201021021 in words is "two hundred twelve trillion, twelve billion, two hundred one million, twenty-one thousand, twenty-one".

Divisors: 1 17 29 493 1433 24361 41557 706469 300101209 5101720553 8702935061 147949896037 430045032497 7310765552449 12471305942413 212012201021021