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122241342213 = 361729340129
BaseRepresentation
bin111000111011000100…
…1101101101100000101
3102200112012122121000000
41301312021231230011
54000322240422323
6132053520111513
711555153156544
oct1616611555405
9380465577000
10122241342213
114792a061761
121b836465599
13b6b1662473
145cb8ca615b
1532a6b3be43
hex1c7626db05

122241342213 has 56 divisors (see below), whose sum is σ = 200751528600. Its totient is φ = 74055389184.

The previous prime is 122241342211. The next prime is 122241342239. The reversal of 122241342213 is 312243142221.

122241342213 is a `hidden beast` number, since 1 + 2 + 22 + 413 + 4 + 221 + 3 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 10493543844 + 111747798369 = 102438^2 + 334287^2 .

It is not a de Polignac number, because 122241342213 - 21 = 122241342211 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122241342211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 189333 + ... + 529461.

It is an arithmetic number, because the mean of its divisors is an integer number (3584848725).

Almost surely, 2122241342213 is an apocalyptic number.

It is an amenable number.

122241342213 is a deficient number, since it is larger than the sum of its proper divisors (78510186387).

122241342213 is an equidigital number, since it uses as much as digits as its factorization.

122241342213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 340193 (or 340178 counting only the distinct ones).

The product of its digits is 4608, while the sum is 27.

Adding to 122241342213 its reverse (312243142221), we get a palindrome (434484484434).

The spelling of 122241342213 in words is "one hundred twenty-two billion, two hundred forty-one million, three hundred forty-two thousand, two hundred thirteen".

Divisors: 1 3 9 17 27 29 51 81 87 153 243 261 459 493 729 783 1377 1479 2349 4131 4437 7047 12393 13311 21141 39933 119799 340129 359397 1020387 3061161 5782193 9183483 9863741 17346579 27550449 29591223 52039737 82651347 88773669 156119211 167683597 247954041 266321007 468357633 503050791 798963021 1405072899 1509152373 2396889063 4215218697 4527457119 7190667189 13582371357 40747114071 122241342213