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13302120321 = 337123756897
BaseRepresentation
bin11000110001101111…
…00011111110000001
31021100001021201122000
430120313203332001
5204220320322241
610035542334213
7650432104620
oct143067437601
937301251560
1013302120321
115706777976
1226b2a2a369
13133cb62919
149029316b7
1552cc2deb6
hex318de3f81

13302120321 has 32 divisors (see below), whose sum is σ = 22540711680. Its totient is φ = 7594933248.

The previous prime is 13302120289. The next prime is 13302120341. The reversal of 13302120321 is 12302120331.

13302120321 is a `hidden beast` number, since 1 + 330 + 2 + 12 + 0 + 321 = 666.

It is not a de Polignac number, because 13302120321 - 25 = 13302120289 is a prime.

It is a super-2 number, since 2×133021203212 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13302120294 and 13302120303.

It is not an unprimeable number, because it can be changed into a prime (13302120341) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 205345 + ... + 262241.

It is an arithmetic number, because the mean of its divisors is an integer number (704397240).

Almost surely, 213302120321 is an apocalyptic number.

It is an amenable number.

13302120321 is a deficient number, since it is larger than the sum of its proper divisors (9238591359).

13302120321 is a wasteful number, since it uses less digits than its factorization.

13302120321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58150 (or 58144 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 13302120321 its reverse (12302120331), we get a palindrome (25604240652).

The spelling of 13302120321 in words is "thirteen billion, three hundred two million, one hundred twenty thousand, three hundred twenty-one".

Divisors: 1 3 7 9 21 27 63 189 1237 3711 8659 11133 25977 33399 56897 77931 170691 233793 398279 512073 1194837 1536219 3584511 10753533 70381589 211144767 492671123 633434301 1478013369 1900302903 4434040107 13302120321