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311006421 = 321121915031
BaseRepresentation
bin10010100010011…
…001010011010101
3210200012202121100
4102202121103111
51114104201141
650505540313
710464340155
oct2242312325
9720182540
10311006421
1114a611800
12881a4699
134c58278b
142d43a765
151c4850b6
hex128994d5

311006421 has 36 divisors (see below), whose sum is σ = 519806560. Its totient is φ = 178556400.

The previous prime is 311006417. The next prime is 311006431. The reversal of 311006421 is 124600113.

It is a happy number.

It is not a de Polignac number, because 311006421 - 22 = 311006417 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 311006394 and 311006403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (311006431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 13176 + ... + 28206.

Almost surely, 2311006421 is an apocalyptic number.

It is an amenable number.

311006421 is a deficient number, since it is larger than the sum of its proper divisors (208800139).

311006421 is a wasteful number, since it uses less digits than its factorization.

311006421 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15078 (or 15064 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 311006421 is about 17635.3741383618. The cubic root of 311006421 is about 677.5215579348.

Adding to 311006421 its reverse (124600113), we get a palindrome (435606534).

The spelling of 311006421 in words is "three hundred eleven million, six thousand, four hundred twenty-one".

Divisors: 1 3 9 11 19 33 57 99 121 171 209 363 627 1089 1881 2299 6897 15031 20691 45093 135279 165341 285589 496023 856767 1488069 1818751 2570301 3141479 5456253 9424437 16368759 28273311 34556269 103668807 311006421