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12302030322 = 23237471073673
BaseRepresentation
bin10110111010100001…
…00001010111110010
31011202100102220001200
423131100201113302
5200143304432242
65352415112030
7613566350421
oct133520412762
934670386050
1012302030322
1152431a250a
122473b12616
1312108c37aa
14849b9d2b8
154c003104c
hex2dd4215f2

12302030322 has 96 divisors (see below), whose sum is σ = 28226195712. Its totient is φ = 3867409152.

The previous prime is 12302030311. The next prime is 12302030327. The reversal of 12302030322 is 22303020321.

It is a happy number.

12302030322 is a `hidden beast` number, since 12 + 302 + 0 + 30 + 322 = 666.

12302030322 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 12302030295 and 12302030304.

It is not an unprimeable number, because it can be changed into a prime (12302030327) 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 47 ways as a sum of consecutive naturals, for example, 3347478 + ... + 3351150.

It is an arithmetic number, because the mean of its divisors is an integer number (294022872).

Almost surely, 212302030322 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12302030322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14113097856).

12302030322 is an abundant number, since it is smaller than the sum of its proper divisors (15924165390).

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

12302030322 is a wasteful number, since it uses less digits than its factorization.

12302030322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3872 (or 3869 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 12302030322 its reverse (22303020321), we get a palindrome (34605050643).

The spelling of 12302030322 in words is "twelve billion, three hundred two million, thirty thousand, three hundred twenty-two".

Divisors: 1 2 3 6 9 18 37 47 74 94 107 111 141 214 222 282 321 333 423 642 666 846 963 1739 1926 3478 3673 3959 5029 5217 7346 7918 10058 10434 11019 11877 15087 15651 22038 23754 30174 31302 33057 35631 45261 66114 71262 90522 135901 172631 186073 271802 345262 372146 393011 407703 517893 558219 786022 815406 1035786 1116438 1179033 1223109 1553679 1674657 2358066 2446218 3107358 3349314 3537099 6387347 7074198 12774694 14541407 18471517 19162041 29082814 36943034 38324082 43624221 55414551 57486123 87248442 110829102 114972246 130872663 166243653 261745326 332487306 683446129 1366892258 2050338387 4100676774 6151015161 12302030322