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210001331211 = 37172336314001
BaseRepresentation
bin1100001110010100001…
…1100000010000001011
3202002001100112221200220
43003211003200100023
511420040320044321
6240250121201123
721113012602020
oct3034503402013
9662040487626
10210001331211
1181074305391
12348490301a3
1316a59384539
14a2424ad547
1556e14e69c6
hex30e50e040b

210001331211 has 64 divisors (see below), whose sum is σ = 340904318976. Its totient is φ = 112250880000.

The previous prime is 210001331083. The next prime is 210001331233. The reversal of 210001331211 is 112133100012.

It is a happy number.

It is not a de Polignac number, because 210001331211 - 27 = 210001331083 is a prime.

It is a super-2 number, since 2×2100013312112 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (210001331291) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 52485211 + ... + 52489211.

It is an arithmetic number, because the mean of its divisors is an integer number (5326629984).

Almost surely, 2210001331211 is an apocalyptic number.

210001331211 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

210001331211 is a deficient number, since it is larger than the sum of its proper divisors (130902987765).

210001331211 is a wasteful number, since it uses less digits than its factorization.

210001331211 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4892.

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 210001331211 its reverse (112133100012), we get a palindrome (322134431223).

The spelling of 210001331211 in words is "two hundred ten billion, one million, three hundred thirty-one thousand, two hundred eleven".

Divisors: 1 3 7 17 21 51 119 233 357 631 699 1631 1893 3961 4001 4417 4893 10727 11883 12003 13251 27727 28007 32181 68017 75089 83181 84021 147023 204051 225267 441069 476119 932233 1029161 1428357 2499391 2524631 2796699 3087483 6525631 7498173 7573893 15847961 17495737 17672417 19576893 42918727 47543883 52487211 53017251 110935727 128756181 300431089 332807181 588239023 901293267 1764717069 4117673161 10000063391 12353019483 30000190173 70000443737 210001331211