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122323212102 = 237135316325933
BaseRepresentation
bin111000111101100001…
…0000001011101000110
3102200201220201000101010
41301323002001131012
54001004220241402
6132110002543050
711560166101350
oct1617302013506
9380656630333
10122323212102
114797129a823
121b859967a86
13b6c55c89a0
145cc5ad80d0
1532ade0ea6c
hex1c7b081746

122323212102 has 128 divisors (see below), whose sum is σ = 308678501376. Its totient is φ = 31456968192.

The previous prime is 122323212101. The next prime is 122323212133. The reversal of 122323212102 is 201212323221.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122323212101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4703928 + ... + 4729860.

It is an arithmetic number, because the mean of its divisors is an integer number (2411550792).

Almost surely, 2122323212102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122323212102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154339250688).

122323212102 is an abundant number, since it is smaller than the sum of its proper divisors (186355289274).

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

122323212102 is a wasteful number, since it uses less digits than its factorization.

122323212102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26174.

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 122323212102 its reverse (201212323221), we get a palindrome (323535535323).

The spelling of 122323212102 in words is "one hundred twenty-two billion, three hundred twenty-three million, two hundred twelve thousand, one hundred two".

Divisors: 1 2 3 6 7 13 14 21 26 39 42 53 78 91 106 159 163 182 273 318 326 371 489 546 689 742 978 1113 1141 1378 2067 2119 2226 2282 3423 4134 4238 4823 6357 6846 8639 9646 12714 14469 14833 17278 25917 25933 28938 29666 44499 51834 51866 60473 77799 88998 112307 120946 155598 181419 181531 224614 336921 337129 362838 363062 544593 673842 674258 786149 1011387 1089186 1374449 1572298 2022774 2358447 2359903 2748898 4123347 4227079 4716894 4719806 7079709 8246694 8454158 9621143 12681237 14159418 17867837 19242286 25362474 28863429 29589553 35735674 53603511 54952027 57726858 59179106 88768659 107207022 109904054 125074859 164856081 177537318 224035187 250149718 329712162 375224577 384664189 448070374 672105561 750449154 769328378 1153992567 1344211122 1568246309 2307985134 2912457431 3136492618 4704738927 5824914862 8737372293 9409477854 17474744586 20387202017 40774404034 61161606051 122323212102