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321013123332112 = 24137156619351101
BaseRepresentation
bin100100011111101011011000…
…1001011110011100000010000
31120002121112222111200212022101
41020333112301023303200100
5314033434334033111422
63054423220515250144
7124421301310655341
oct11077266113634020
91502545874625271
10321013123332112
11933149a0365072
12300065b15a9954
1310a1753b778853
14593b191dac0c8
15271a44c120c27
hex123f5b12f3810

321013123332112 has 40 divisors (see below), whose sum is σ = 626542872843672. Its totient is φ = 159324789888000.

The previous prime is 321013123332037. The next prime is 321013123332119. The reversal of 321013123332112 is 211233321310123.

It can be written as a sum of positive squares in 4 ways, for example, as 241939483795216 + 79073639536896 = 15554404^2 + 8892336^2 .

It is not an unprimeable number, because it can be changed into a prime (321013123332119) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 29653362 + ... + 39004462.

Almost surely, 2321013123332112 is an apocalyptic number.

It is an amenable number.

321013123332112 is a deficient number, since it is larger than the sum of its proper divisors (305529749511560).

321013123332112 is a wasteful number, since it uses less digits than its factorization.

321013123332112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9366907 (or 9366901 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 28.

Adding to 321013123332112 its reverse (211233321310123), we get a palindrome (532246444642235).

The spelling of 321013123332112 in words is "three hundred twenty-one trillion, thirteen billion, one hundred twenty-three million, three hundred thirty-two thousand, one hundred twelve".

Divisors: 1 2 4 8 16 137 274 548 1096 2192 15661 31322 62644 125288 250576 2145557 4291114 8582228 9351101 17164456 18702202 34328912 37404404 74808808 149617616 1281100837 2562201674 5124403348 10248806696 20497613392 146447592761 292895185522 585790371044 1171580742088 2343161484176 20063320208257 40126640416514 80253280833028 160506561666056 321013123332112