Search a number
-
+
311053301 = 1317282793
BaseRepresentation
bin10010100010100…
…100101111110101
3210200022010220122
4102202210233311
51114112201201
650510541325
710464623636
oct2242445765
9720263818
10311053301
1114a643a49
1288207845
134c59ac10
142d44d88d
151c493e1b
hex128a4bf5

311053301 has 12 divisors (see below), whose sum is σ = 355848612. Its totient is φ = 270233088.

The previous prime is 311053297. The next prime is 311053307. The reversal of 311053301 is 103350113.

It can be written as a sum of positive squares in 6 ways, for example, as 29149201 + 281904100 = 5399^2 + 16790^2 .

It is not a de Polignac number, because 311053301 - 22 = 311053297 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (17).

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 311053301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (311053307) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 37640 + ... + 45153.

It is an arithmetic number, because the mean of its divisors is an integer number (29654051).

Almost surely, 2311053301 is an apocalyptic number.

It is an amenable number.

311053301 is a deficient number, since it is larger than the sum of its proper divisors (44795311).

311053301 is a wasteful number, since it uses less digits than its factorization.

311053301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82840 (or 82823 counting only the distinct ones).

The product of its (nonzero) digits is 135, while the sum is 17.

The square root of 311053301 is about 17636.7032350153. The cubic root of 311053301 is about 677.5555986198. Note that the first 4 decimals are identical.

The spelling of 311053301 in words is "three hundred eleven million, fifty-three thousand, three hundred one".

Divisors: 1 13 17 221 289 3757 82793 1076309 1407481 18297253 23927177 311053301