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312130500 = 223531118917
BaseRepresentation
bin10010100110101…
…011101111000100
3210202022212112220
4102212223233010
51114401134000
650550012340
710510031313
oct2246535704
9722285486
10312130500
1115020a2a0
12886470b0
134c887306
142d65027a
151c6081a0
hex129abbc4

312130500 has 96 divisors (see below), whose sum is σ = 991605888. Its totient is φ = 75664000.

The previous prime is 312130487. The next prime is 312130519. The reversal of 312130500 is 5031213.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 312130500.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7042 + ... + 25958.

It is an arithmetic number, because the mean of its divisors is an integer number (10329228).

Almost surely, 2312130500 is an apocalyptic number.

312130500 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 312130500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (495802944).

312130500 is an abundant number, since it is smaller than the sum of its proper divisors (679475388).

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

312130500 is a wasteful number, since it uses less digits than its factorization.

312130500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18950 (or 18938 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 15.

The square root of 312130500 is about 17667.2154002831. The cubic root of 312130500 is about 678.3368380485.

Adding to 312130500 its reverse (5031213), we get a palindrome (317161713).

The spelling of 312130500 in words is "three hundred twelve million, one hundred thirty thousand, five hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 44 50 55 60 66 75 100 110 125 132 150 165 220 250 275 300 330 375 500 550 660 750 825 1100 1375 1500 1650 2750 3300 4125 5500 8250 16500 18917 37834 56751 75668 94585 113502 189170 208087 227004 283755 378340 416174 472925 567510 624261 832348 945850 1040435 1135020 1248522 1418775 1891700 2080870 2364625 2497044 2837550 3121305 4161740 4729250 5202175 5675100 6242610 7093875 9458500 10404350 12485220 14187750 15606525 20808700 26010875 28375500 31213050 52021750 62426100 78032625 104043500 156065250 312130500