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122100031332 = 223229116954053
BaseRepresentation
bin111000110110110111…
…0101001111101100100
3102200011100202020220200
41301231232221331210
54000030102000312
6132031511230500
711551516066506
oct1615556517544
9380140666820
10122100031332
1147867314804
121b7b7078430
13b68b2b6566
145ca41ddd76
1532995270dc
hex1c6dba9f64

122100031332 has 36 divisors (see below), whose sum is σ = 319284567420. Its totient is φ = 39296561472.

The previous prime is 122100031331. The next prime is 122100031351. The reversal of 122100031332 is 233130001221.

It can be written as a sum of positive squares in 2 ways, for example, as 89870446656 + 32229584676 = 299784^2 + 179526^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (122100031331) 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, 58475983 + ... + 58478070.

Almost surely, 2122100031332 is an apocalyptic number.

122100031332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

122100031332 is an abundant number, since it is smaller than the sum of its proper divisors (197184536088).

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

122100031332 is a wasteful number, since it uses less digits than its factorization.

122100031332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116954092 (or 116954087 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 122100031332 its reverse (233130001221), we get a palindrome (355230032553).

The spelling of 122100031332 in words is "one hundred twenty-two billion, one hundred million, thirty-one thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 29 36 58 87 116 174 261 348 522 1044 116954053 233908106 350862159 467816212 701724318 1052586477 1403448636 2105172954 3391667537 4210345908 6783335074 10175002611 13566670148 20350005222 30525007833 40700010444 61050015666 122100031332