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211211322301 = 7225951166099
BaseRepresentation
bin1100010010110100101…
…1010000001110111101
3202012011200100212102201
43010231023100032331
511430030044303201
6241010143351501
721155004421600
oct3045513201675
9665150325381
10211211322301
1181635315621
1234b262b2591
1316bbcc664b5
14a319080337
155762857801
hex312d2d03bd

211211322301 has 12 divisors (see below), whose sum is σ = 245705750400. Its totient is φ = 181030210200.

The previous prime is 211211322299. The next prime is 211211322367. The reversal of 211211322301 is 103223112112.

211211322301 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 211211322301 - 21 = 211211322299 is a prime.

It is a super-2 number, since 2×2112113223012 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211211325301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1188550 + ... + 1354648.

It is an arithmetic number, because the mean of its divisors is an integer number (20475479200).

Almost surely, 2211211322301 is an apocalyptic number.

It is an amenable number.

211211322301 is a deficient number, since it is larger than the sum of its proper divisors (34494428099).

211211322301 is a wasteful number, since it uses less digits than its factorization.

211211322301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192064 (or 192057 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 19.

Adding to 211211322301 its reverse (103223112112), we get a palindrome (314434434413).

The spelling of 211211322301 in words is "two hundred eleven billion, two hundred eleven million, three hundred twenty-two thousand, three hundred one".

Divisors: 1 7 49 25951 166099 181657 1162693 1271599 8138851 4310435149 30173046043 211211322301