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311054130 = 232519181903
BaseRepresentation
bin10010100010100…
…100111100110010
3210200022012001100
4102202210330302
51114112213010
650510545230
710464626232
oct2242447462
9720265040
10311054130
1114a644632
1288208216
134c59b3ca
142d44dcc2
151c4942c0
hex128a4f32

311054130 has 48 divisors (see below), whose sum is σ = 851310720. Its totient is φ = 78581664.

The previous prime is 311054123. The next prime is 311054141. The reversal of 311054130 is 31450113.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 89242 + ... + 92661.

It is an arithmetic number, because the mean of its divisors is an integer number (17735640).

Almost surely, 2311054130 is an apocalyptic number.

311054130 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

311054130 is an abundant number, since it is smaller than the sum of its proper divisors (540256590).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

311054130 is a wasteful number, since it uses less digits than its factorization.

311054130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181935 (or 181932 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 311054130 is about 17636.7267371244. The cubic root of 311054130 is about 677.5562005457.

The spelling of 311054130 in words is "three hundred eleven million, fifty-four thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 19 30 38 45 57 90 95 114 171 190 285 342 570 855 1710 181903 363806 545709 909515 1091418 1637127 1819030 2728545 3274254 3456157 5457090 6912314 8185635 10368471 16371270 17280785 20736942 31105413 34561570 51842355 62210826 103684710 155527065 311054130