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312012030 = 235112114481
BaseRepresentation
bin10010100110001…
…110110011111110
3210202002212001010
4102212032303332
51114333341110
650543300050
710506026031
oct2246166376
9722085033
10312012030
11150139290
12885aa626
134c845405
142d61d018
151c5d3020
hex1298ecfe

312012030 has 64 divisors (see below), whose sum is σ = 820958976. Its totient is φ = 75264000.

The previous prime is 312012013. The next prime is 312012047. The reversal of 312012030 is 30210213.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (312012013) and next prime (312012047).

It is a junction number, because it is equal to n+sod(n) for n = 312011997 and 312012015.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 67390 + ... + 71870.

It is an arithmetic number, because the mean of its divisors is an integer number (12827484).

Almost surely, 2312012030 is an apocalyptic number.

312012030 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 312012030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (410479488).

312012030 is an abundant number, since it is smaller than the sum of its proper divisors (508946946).

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

312012030 is a wasteful number, since it uses less digits than its factorization.

312012030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4713.

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 312012030 is about 17663.8622616912. The cubic root of 312012030 is about 678.2510056433.

Adding to 312012030 its reverse (30210213), we get a palindrome (342222243).

The spelling of 312012030 in words is "three hundred twelve million, twelve thousand, thirty".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 110 165 211 330 422 633 1055 1266 2110 2321 3165 4481 4642 6330 6963 8962 11605 13443 13926 22405 23210 26886 34815 44810 49291 67215 69630 98582 134430 147873 246455 295746 492910 739365 945491 1478730 1890982 2836473 4727455 5672946 9454910 10400401 14182365 20800802 28364730 31201203 52002005 62402406 104004010 156006015 312012030