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122100100221 = 31120261182617
BaseRepresentation
bin111000110110110111…
…0111010110001111101
3102200011100212202102010
41301231232322301331
54000030111201341
6132031512521433
711551516504401
oct1615556726175
9380140782363
10122100100221
1147867361540
121b7b70b0279
13b68b30ba18
145ca421b101
15329953c716
hex1c6dbbac7d

122100100221 has 16 divisors (see below), whose sum is σ = 177609883968. Its totient is φ = 73996003200.

The previous prime is 122100100189. The next prime is 122100100237. The reversal of 122100100221 is 122001001221.

It is not a de Polignac number, because 122100100221 - 25 = 122100100189 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 122100100197 and 122100100206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122100102221) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 577305 + ... + 759921.

It is an arithmetic number, because the mean of its divisors is an integer number (11100617748).

Almost surely, 2122100100221 is an apocalyptic number.

122100100221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

122100100221 is a deficient number, since it is larger than the sum of its proper divisors (55509783747).

122100100221 is a wasteful number, since it uses less digits than its factorization.

122100100221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202892.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 122100100221 its reverse (122001001221), we get a palindrome (244101101442).

The spelling of 122100100221 in words is "one hundred twenty-two billion, one hundred million, one hundred thousand, two hundred twenty-one".

Divisors: 1 3 11 33 20261 60783 182617 222871 547851 668613 2008787 6026361 3700003037 11100009111 40700033407 122100100221