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312221202030 = 2325101174719661
BaseRepresentation
bin1001000101100011101…
…01010111011001101110
31002211220020021102020100
410202301311113121232
520103412111431110
6355233223531530
731362063300063
oct4426165273156
91084806242210
10312221202030
11110459802271
12506162b9ba6
1323599a61cba
141117c2a0c6a
1581c5575bc0
hex48b1d5766e

312221202030 has 96 divisors (see below), whose sum is σ = 820323492768. Its totient is φ = 82383264000.

The previous prime is 312221201983. The next prime is 312221202061. The reversal of 312221202030 is 30202122213.

It is a super-2 number, since 2×3122212020302 (a number of 24 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 312221201994 and 312221202012.

It is a congruent number.

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, 15870400 + ... + 15890060.

It is an arithmetic number, because the mean of its divisors is an integer number (8545036383).

Almost surely, 2312221202030 is an apocalyptic number.

312221202030 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 312221202030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (410161746384).

312221202030 is an abundant number, since it is smaller than the sum of its proper divisors (508102290738).

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

312221202030 is a wasteful number, since it uses less digits than its factorization.

312221202030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21522 (or 21519 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 312221202030 its reverse (30202122213), we get a palindrome (342423324243).

The spelling of 312221202030 in words is "three hundred twelve billion, two hundred twenty-one million, two hundred two thousand, thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 101 202 303 505 606 909 1010 1515 1747 1818 3030 3494 4545 5241 8735 9090 10482 15723 17470 19661 26205 31446 39322 52410 58983 78615 98305 117966 157230 176447 176949 196610 294915 352894 353898 529341 589830 882235 884745 1058682 1588023 1764470 1769490 1985761 2646705 3176046 3971522 5293410 5957283 7940115 9928805 11914566 15880230 17871849 19857610 29786415 34347767 35743698 59572830 68695534 89359245 103043301 171738835 178718490 206086602 309129903 343477670 515216505 618259806 1030433010 1545649515 3091299030 3469124467 6938248934 10407373401 17345622335 20814746802 31222120203 34691244670 52036867005 62444240406 104073734010 156110601015 312221202030