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312130020210 = 235131173459089
BaseRepresentation
bin1001000101011000110…
…01100010001101110010
31002211122212200220021220
410202230121202031302
520103220241121320
6355220205325510
731356605252631
oct4425431421562
91084585626256
10312130020210
11110412293a98
12505ab866896
1323583bb8168
1411170127518
1581bc563e40
hex48ac662372

312130020210 has 64 divisors (see below), whose sum is σ = 759195296640. Its totient is φ = 82121661440.

The previous prime is 312130020187. The next prime is 312130020217. The reversal of 312130020210 is 12020031213.

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 312130020210.

It is not an unprimeable number, because it can be changed into a prime (312130020217) by changing a digit.

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, 450346 + ... + 909434.

It is an arithmetic number, because the mean of its divisors is an integer number (11862426510).

Almost surely, 2312130020210 is an apocalyptic number.

312130020210 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

312130020210 is an abundant number, since it is smaller than the sum of its proper divisors (447065276430).

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

312130020210 is a wasteful number, since it uses less digits than its factorization.

312130020210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 459403.

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 312130020210 its reverse (12020031213), we get a palindrome (324150051423).

The spelling of 312130020210 in words is "three hundred twelve billion, one hundred thirty million, twenty thousand, two hundred ten".

Divisors: 1 2 3 5 6 10 15 30 131 173 262 346 393 519 655 786 865 1038 1310 1730 1965 2595 3930 5190 22663 45326 67989 113315 135978 226630 339945 459089 679890 918178 1377267 2295445 2754534 4590890 6886335 13772670 60140659 79422397 120281318 158844794 180421977 238267191 300703295 360843954 397111985 476534382 601406590 794223970 902109885 1191335955 1804219770 2382671910 10404334007 20808668014 31213002021 52021670035 62426004042 104043340070 156065010105 312130020210