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122122122100 = 225211111020111
BaseRepresentation
bin111000110111100001…
…0111011001101110100
3102200012220022120202021
41301233002323031310
54000101230401400
6132034020522524
711552204624206
oct1615702731564
9380186276667
10122122122100
1147878832940
121b802550444
13b692a4c514
145ca7110776
15329b43c71a
hex1c6f0bb374

122122122100 has 36 divisors (see below), whose sum is σ = 289096371648. Its totient is φ = 44408044000.

The previous prime is 122122122091. The next prime is 122122122107. The reversal of 122122122100 is 1221221221.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122122122107) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 55508956 + ... + 55511155.

It is an arithmetic number, because the mean of its divisors is an integer number (8030454768).

Almost surely, 2122122122100 is an apocalyptic number.

122122122100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122122122100 is an abundant number, since it is smaller than the sum of its proper divisors (166974249548).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

122122122100 is a wasteful number, since it uses less digits than its factorization.

122122122100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111020136 (or 111020129 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 122122122100 its reverse (1221221221), we get a palindrome (123343343321).

122122122100 divided by its reverse (1221221221) gives a square (100 = 102).

It can be divided in two parts, 12212 and 2122100, that added together give a palindrome (2134312).

The spelling of 122122122100 in words is "one hundred twenty-two billion, one hundred twenty-two million, one hundred twenty-two thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 220 275 550 1100 111020111 222040222 444080444 555100555 1110201110 1221221221 2220402220 2442442442 2775502775 4884884884 5551005550 6106106105 11102011100 12212212210 24424424420 30530530525 61061061050 122122122100