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211212211001001 = 3783383213162167
BaseRepresentation
bin110000000001100010101100…
…110011110001011010101001
31000200211200122010201112200120
4300001202230303301122221
5210141000102004013001
62025113314503153453
762326402325325150
oct6001425463613251
91020750563645616
10211212211001001
1161331660901221
121b832412145889
1390b12c27a3282
143a22a22d02597
1519641aac1c236
hexc018accf16a9

211212211001001 has 32 divisors (see below), whose sum is σ = 325733458434048. Its totient is φ = 119235413902080.

The previous prime is 211212211000991. The next prime is 211212211001017. The reversal of 211212211001001 is 100100112212112.

It is a happy number.

It is not a de Polignac number, because 211212211001001 - 215 = 211212210968233 is a prime.

It is a super-2 number, since 2×2112122110010012 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (211212211001101) 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, 65212420 + ... + 68374586.

It is an arithmetic number, because the mean of its divisors is an integer number (10179170576064).

Almost surely, 2211212211001001 is an apocalyptic number.

211212211001001 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

211212211001001 is a deficient number, since it is larger than the sum of its proper divisors (114521247433047).

211212211001001 is a wasteful number, since it uses less digits than its factorization.

211212211001001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3200581.

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 211212211001001 its reverse (100100112212112), we get a palindrome (311312323213113).

The spelling of 211212211001001 in words is "two hundred eleven trillion, two hundred twelve billion, two hundred eleven million, one thousand, one".

Divisors: 1 3 7 21 83 249 581 1743 38321 114963 268247 804741 3162167 3180643 9486501 9541929 22135169 22264501 66405507 66793503 262459861 787379583 1837219027 5511657081 121177401607 363532204821 848241811249 2544725433747 10057724333381 30173173000143 70404070333667 211212211001001