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313012323221131 = 17237304310959887
BaseRepresentation
bin100011100101011101101110…
…0010101011111111010001011
31112001021200111222202121112001
41013022323130111133322023
5312011343214221034011
63025415513130131431
7122634252111061042
oct10712733425377213
91461250458677461
10313012323221131
119080a865275696
122b133a75880b77
1310586c21193151
145741c3d375559
15262c27ed107c1
hex11caedc55fe8b

313012323221131 has 16 divisors (see below), whose sum is σ = 345839353519104. Its totient is φ = 281787261610624.

The previous prime is 313012323221099. The next prime is 313012323221179. The reversal of 313012323221131 is 131122323210313.

It is a cyclic number.

It is not a de Polignac number, because 313012323221131 - 25 = 313012323221099 is a prime.

It is a super-2 number, since 2×3130123232211312 (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 313012323221131.

It is not an unprimeable number, because it can be changed into a prime (313012323228131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23079870 + ... + 34039756.

It is an arithmetic number, because the mean of its divisors is an integer number (21614959594944).

Almost surely, 2313012323221131 is an apocalyptic number.

313012323221131 is a deficient number, since it is larger than the sum of its proper divisors (32827030297973).

313012323221131 is a wasteful number, since it uses less digits than its factorization.

313012323221131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11032970.

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

Adding to 313012323221131 its reverse (131122323210313), we get a palindrome (444134646431444).

The spelling of 313012323221131 in words is "three hundred thirteen trillion, twelve billion, three hundred twenty-three million, two hundred twenty-one thousand, one hundred thirty-one".

Divisors: 1 17 23 391 73043 1241731 1679989 10959887 28559813 186318079 252077401 4285315817 800543026141 13609231444397 18412489601243 313012323221131