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311430314221323 = 31123892205487789
BaseRepresentation
bin100011011001111101000010…
…1010000000101111100001011
31111211200110002001201122011020
41012303322011100011330023
5311304433240420040243
63022205040011003523
7122412045336333423
oct10663720520057413
91454613061648136
10311430314221323
119025a944451a00
122ab193461395a3
13104a09a266916b
1456c9444211483
15260103ce08283
hex11b3e85405f0b

311430314221323 has 24 divisors (see below), whose sum is σ = 457594606669200. Its totient is φ = 188260437583680.

The previous prime is 311430314221297. The next prime is 311430314221331. The reversal of 311430314221323 is 323122413034113.

It is not a de Polignac number, because 311430314221323 - 26 = 311430314221259 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (311430314221333) 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 23 ways as a sum of consecutive naturals, for example, 1102602688 + ... + 1102885101.

It is an arithmetic number, because the mean of its divisors is an integer number (19066441944550).

Almost surely, 2311430314221323 is an apocalyptic number.

311430314221323 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

311430314221323 is a deficient number, since it is larger than the sum of its proper divisors (146164292447877).

311430314221323 is a wasteful number, since it uses less digits than its factorization.

311430314221323 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2205488203 (or 2205488192 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 33.

Adding to 311430314221323 its reverse (323122413034113), we get a palindrome (634552727255436).

The spelling of 311430314221323 in words is "three hundred eleven trillion, four hundred thirty billion, three hundred fourteen million, two hundred twenty-one thousand, three hundred twenty-three".

Divisors: 1 3 11 33 121 363 389 1167 4279 12837 47069 141207 2205487789 6616463367 24260365679 72781097037 266864022469 800592067407 857934749921 2573804249763 9437282249131 28311846747393 103810104740441 311430314221323