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311002013 = 7193175431
BaseRepresentation
bin10010100010011…
…000001110011101
3210200012112120002
4102202120032131
51114104031023
650505504045
710464321260
oct2242301635
9720175502
10311002013
1114a609463
12881a2025
134c58077a
142d438cd7
151c483b28
hex1289839d

311002013 has 16 divisors (see below), whose sum is σ = 386211840. Its totient is φ = 244393200.

The previous prime is 311002009. The next prime is 311002019. The reversal of 311002013 is 310200113.

It is not a de Polignac number, because 311002013 - 22 = 311002009 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 311001985 and 311002003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (311002019) 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 15 ways as a sum of consecutive naturals, for example, 33593 + ... + 41838.

It is an arithmetic number, because the mean of its divisors is an integer number (24138240).

Almost surely, 2311002013 is an apocalyptic number.

It is an amenable number.

311002013 is a deficient number, since it is larger than the sum of its proper divisors (75209827).

311002013 is a wasteful number, since it uses less digits than its factorization.

311002013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75488.

The product of its (nonzero) digits is 18, while the sum is 11.

The square root of 311002013 is about 17635.2491618349. The cubic root of 311002013 is about 677.5183570050.

Adding to 311002013 its reverse (310200113), we get a palindrome (621202126).

The spelling of 311002013 in words is "three hundred eleven million, two thousand, thirteen".

Divisors: 1 7 19 31 133 217 589 4123 75431 528017 1433189 2338361 10032323 16368527 44428859 311002013