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122201110202210 = 251317531043294717
BaseRepresentation
bin11011110010010000101001…
…110000111100011101100010
3121000200022102110221200112022
4123302100221300330131202
5112004120333202432320
61111522225351301442
734511511300203324
oct3362205160743542
9530608373850468
10122201110202210
1135a34221a29586
121185748867a882
135325690cc37a0
1422267cb237614
15e1dae82a6325
hex6f2429c3c762

122201110202210 has 64 divisors (see below), whose sum is σ = 255548781405792. Its totient is φ = 41665017778176.

The previous prime is 122201110202191. The next prime is 122201110202243. The reversal of 122201110202210 is 12202011102221.

It can be written as a sum of positive squares in 16 ways, for example, as 15596125351249 + 106604984850961 = 3949193^2 + 10324969^2 .

It is a super-2 number, since 2×1222011102022102 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 521530229 + ... + 521764488.

Almost surely, 2122201110202210 is an apocalyptic number.

122201110202210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

122201110202210 is an abundant number, since it is smaller than the sum of its proper divisors (133347671203582).

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

122201110202210 is a wasteful number, since it uses less digits than its factorization.

122201110202210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1043294807.

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 122201110202210 its reverse (12202011102221), we get a palindrome (134403121304431).

The spelling of 122201110202210 in words is "one hundred twenty-two trillion, two hundred one billion, one hundred ten million, two hundred two thousand, two hundred ten".

Divisors: 1 2 5 10 13 17 26 34 53 65 85 106 130 170 221 265 442 530 689 901 1105 1378 1802 2210 3445 4505 6890 9010 11713 23426 58565 117130 1043294717 2086589434 5216473585 10432947170 13562831321 17736010189 27125662642 35472020378 55294620001 67814156605 88680050945 110589240002 135628313210 177360101890 230568132457 276473100005 461136264914 552946200010 718830060013 940008540017 1152840662285 1437660120026 1880017080034 2305681324570 3594150300065 4700042700085 7188300600130 9400085400170 12220111020221 24440222040442 61100555101105 122201110202210