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14122115322 = 23717233792269
BaseRepresentation
bin11010010011011111…
…00110000011111010
31100110012020210022020
431021233212003322
5212410230142242
610253153535310
71006646666610
oct151157460372
940405223266
1014122115322
115a97625297
1228a1574536
1314409c6873
1497d7c36b0
15579c056ec
hex349be60fa

14122115322 has 128 divisors (see below), whose sum is σ = 35773747200. Its totient is φ = 3621252096.

The previous prime is 14122115291. The next prime is 14122115353. The reversal of 14122115322 is 22351122141.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (14122115291) and next prime (14122115353).

It is a junction number, because it is equal to n+sod(n) for n = 14122115292 and 14122115301.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 6222804 + ... + 6225072.

It is an arithmetic number, because the mean of its divisors is an integer number (279482400).

Almost surely, 214122115322 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14122115322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17886873600).

14122115322 is an abundant number, since it is smaller than the sum of its proper divisors (21651631878).

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

14122115322 is a wasteful number, since it uses less digits than its factorization.

14122115322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2700.

The product of its digits is 960, while the sum is 24.

Adding to 14122115322 its reverse (22351122141), we get a palindrome (36473237463).

The spelling of 14122115322 in words is "fourteen billion, one hundred twenty-two million, one hundred fifteen thousand, three hundred twenty-two".

Divisors: 1 2 3 6 7 14 17 21 23 34 42 46 51 69 102 119 138 161 238 322 357 379 391 483 714 758 782 966 1137 1173 2269 2274 2346 2653 2737 4538 5306 5474 6443 6807 7959 8211 8717 12886 13614 15883 15918 16422 17434 19329 26151 31766 38573 38658 45101 47649 52187 52302 61019 77146 90202 95298 104374 115719 122038 135303 148189 156561 183057 231438 270011 270606 296378 313122 365309 366114 444567 540022 730618 810033 859951 887179 889134 1037323 1095927 1620066 1719902 1774358 2074646 2191854 2579853 2661537 3111969 5159706 5323074 6019657 6210253 6223938 12039314 12420506 14619167 18058971 18630759 19778873 29238334 36117942 37261518 39557746 43857501 59336619 87715002 102334169 118673238 138452111 204668338 276904222 307002507 336240841 415356333 614005014 672481682 830712666 1008722523 2017445046 2353685887 4707371774 7061057661 14122115322