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210020010201 = 3248174844417
BaseRepresentation
bin1100001110011000101…
…0110000100011011001
3202002002122200221110100
43003212022300203121
511420110110311301
6240252025410013
721113330426511
oct3034612604331
9662078627410
10210020010201
1181083903171
1234853339909
1316a601c45b1
14a244b72841
1556e2e86286
hex30e62b08d9

210020010201 has 12 divisors (see below), whose sum is σ = 303425277012. Its totient is φ = 139984244736.

The previous prime is 210020010149. The next prime is 210020010203. The reversal of 210020010201 is 102010020012.

It can be written as a sum of positive squares in 2 ways, for example, as 136364764176 + 73655246025 = 369276^2 + 271395^2 .

It is not a de Polignac number, because 210020010201 - 211 = 210020008153 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (210020010203) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 2378856 + ... + 2465561.

It is an arithmetic number, because the mean of its divisors is an integer number (25285439751).

Almost surely, 2210020010201 is an apocalyptic number.

It is an amenable number.

210020010201 is a deficient number, since it is larger than the sum of its proper divisors (93405266811).

210020010201 is a wasteful number, since it uses less digits than its factorization.

210020010201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4849240 (or 4849237 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 210020010201 its reverse (102010020012), we get a palindrome (312030030213).

It can be divided in two parts, 2100 and 20010201, that added together give a triangular number (20012301 = T6326).

The spelling of 210020010201 in words is "two hundred ten billion, twenty million, ten thousand, two hundred one".

Divisors: 1 3 9 4817 14451 43353 4844417 14533251 43599753 23335556689 70006670067 210020010201