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101000211002211 = 31710340947010143
BaseRepresentation
bin10110111101101111110001…
…101100101111001101100011
3111020121112012100202222101110
4112331233301230233031203
5101214241413004032321
6554450504551434403
730163011245321133
oct2675576154571543
9436545170688343
10101000211002211
112a1aaa4904a164
12b3b2626385a03
13444838204b861
141ad26172a2ac3
15ba23a9815176
hex5bdbf1b2f363

101000211002211 has 32 divisors (see below), whose sum is σ = 144324902891520. Its totient is φ = 62603970223104.

The previous prime is 101000211002189. The next prime is 101000211002219. The reversal of 101000211002211 is 112200112000101.

It is not a de Polignac number, because 101000211002211 - 213 = 101000210994019 is a prime.

It is a super-3 number, since 3×1010002110022113 (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (101000211002219) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21356595 + ... + 25653548.

It is an arithmetic number, because the mean of its divisors is an integer number (4510153215360).

Almost surely, 2101000211002211 is an apocalyptic number.

101000211002211 is a deficient number, since it is larger than the sum of its proper divisors (43324691889309).

101000211002211 is a wasteful number, since it uses less digits than its factorization.

101000211002211 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47010675.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 101000211002211 its reverse (112200112000101), we get a palindrome (213200323002312).

The spelling of 101000211002211 in words is "one hundred one trillion, two hundred eleven million, two thousand, two hundred eleven".

Divisors: 1 3 17 51 103 309 409 1227 1751 5253 6953 20859 42127 126381 716159 2148477 47010143 141030429 799172431 2397517293 4842044729 14526134187 19227148487 57681445461 82314760393 246944281179 326861524279 980584572837 1980396294161 5941188882483 33666737000737 101000211002211