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211010210001 = 345349152157
BaseRepresentation
bin1100010010000100110…
…0000100100011010001
3202011122122221022020000
43010201030010203101
511424122103210001
6240534201040213
721150013122423
oct3044114044321
9664578838200
10211010210001
1181541842a08
1234a8aa86069
1316b8a3acb36
14a2da48c813
15574ed7da86
hex31213048d1

211010210001 has 20 divisors (see below), whose sum is σ = 321160200372. Its totient is φ = 138019254048.

The previous prime is 211010209997. The next prime is 211010210053. The reversal of 211010210001 is 100012010112.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 190689422400 + 20320787601 = 436680^2 + 142551^2 .

It is not a de Polignac number, because 211010210001 - 22 = 211010209997 is a prime.

It is a super-2 number, since 2×2110102100012 (a number of 23 digits) contains 22 as substring.

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 (211010210071) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 24571786 + ... + 24580371.

Almost surely, 2211010210001 is an apocalyptic number.

It is an amenable number.

211010210001 is a deficient number, since it is larger than the sum of its proper divisors (110149990371).

211010210001 is an equidigital number, since it uses as much as digits as its factorization.

211010210001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49152222 (or 49152213 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 211010210001 its reverse (100012010112), we get a palindrome (311022220113).

The spelling of 211010210001 in words is "two hundred eleven billion, ten million, two hundred ten thousand, one".

Divisors: 1 3 9 27 53 81 159 477 1431 4293 49152157 147456471 442369413 1327108239 2605064321 3981324717 7815192963 23445578889 70336736667 211010210001