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311000130 = 232572631877
BaseRepresentation
bin10010100010010…
…111110001000010
3210200012102222100
4102202113301002
51114104001010
650505451230
710464312630
oct2242276102
9720172870
10311000130
1114a608001
12881a0b16
134c57c95c
142d438350
151c4832c0
hex12897c42

311000130 has 96 divisors (see below), whose sum is σ = 928122624. Its totient is φ = 70777728.

The previous prime is 311000099. The next prime is 311000161. The reversal of 311000130 is 31000113.

It is an interprime number because it is at equal distance from previous prime (311000099) and next prime (311000161).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 164752 + ... + 166628.

It is an arithmetic number, because the mean of its divisors is an integer number (9667944).

Almost surely, 2311000130 is an apocalyptic number.

311000130 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 311000130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (464061312).

311000130 is an abundant number, since it is smaller than the sum of its proper divisors (617122494).

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

311000130 is a wasteful number, since it uses less digits than its factorization.

311000130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2160 (or 2157 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 9.

The square root of 311000130 is about 17635.1957743599. The cubic root of 311000130 is about 677.5169896295.

Adding to 311000130 its reverse (31000113), we get a palindrome (342000243).

The spelling of 311000130 in words is "three hundred eleven million, one hundred thirty", and thus it is an aban number.

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 63 70 90 105 126 210 263 315 526 630 789 1315 1578 1841 1877 2367 2630 3682 3754 3945 4734 5523 5631 7890 9205 9385 11046 11262 11835 13139 16569 16893 18410 18770 23670 26278 27615 28155 33138 33786 39417 55230 56310 65695 78834 82845 84465 118251 131390 165690 168930 197085 236502 394170 493651 591255 987302 1182510 1480953 2468255 2961906 3455557 4442859 4936510 6911114 7404765 8885718 10366671 14809530 17277785 20733342 22214295 31100013 34555570 44428590 51833355 62200026 103666710 155500065 311000130