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122132221101 = 32114161748767
BaseRepresentation
bin111000110111110100…
…1011100110010101101
3102200020121022122222100
41301233221130302231
54000111322033401
6132035021205313
711552356515312
oct1615751346255
9380217278870
10122132221101
1147883500420
121b805a00839
13b694b77167
145ca85bcd09
15329c284b86
hex1c6fa5ccad

122132221101 has 48 divisors (see below), whose sum is σ = 197468264448. Its totient is φ = 72095654400.

The previous prime is 122132221097. The next prime is 122132221121. The reversal of 122132221101 is 101122231221.

122132221101 is a `hidden beast` number, since 1 + 221 + 322 + 21 + 101 = 666.

It is not a de Polignac number, because 122132221101 - 22 = 122132221097 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122132221121) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2480020 + ... + 2528786.

It is an arithmetic number, because the mean of its divisors is an integer number (4113922176).

Almost surely, 2122132221101 is an apocalyptic number.

122132221101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

122132221101 is a deficient number, since it is larger than the sum of its proper divisors (75336043347).

122132221101 is a wasteful number, since it uses less digits than its factorization.

122132221101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49442 (or 49439 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 122132221101 its reverse (101122231221), we get a palindrome (223254452322).

The spelling of 122132221101 in words is "one hundred twenty-two billion, one hundred thirty-two million, two hundred twenty-one thousand, one hundred one".

Divisors: 1 3 9 11 33 41 99 123 369 451 617 1353 1851 4059 5553 6787 20361 25297 48767 61083 75891 146301 227673 278267 438903 536437 834801 1609311 1999447 2504403 4827933 5998341 17995023 21993917 30089239 65981751 90267717 197945253 270803151 330981629 992944887 1233658799 2978834661 3700976397 11102929191 13570246789 40710740367 122132221101