Search a number
-
+
301320222120 = 233255477152821
BaseRepresentation
bin1000110001010000001…
…01011011010110101000
31001210202112011021000200
410120220011123112220
514414100434101440
6350231414032200
730524665425411
oct4305005332650
91053675137020
10301320222120
11106875456765
124a493648660
13225504c7128
1410826608808
157c88545c30
hex462815b5a8

301320222120 has 96 divisors (see below), whose sum is σ = 979475931720. Its totient is φ = 80336862720.

The previous prime is 301320222109. The next prime is 301320222149. The reversal of 301320222120 is 21222023103.

301320222120 is a `hidden beast` number, since 3 + 0 + 1 + 320 + 222 + 120 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 299119298724 + 2200923396 = 546918^2 + 46914^2 .

It is a super-2 number, since 2×3013202221202 (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 = 301320222093 and 301320222102.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1895310 + ... + 2048130.

Almost surely, 2301320222120 is an apocalyptic number.

301320222120 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

301320222120 is an abundant number, since it is smaller than the sum of its proper divisors (678155709600).

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

301320222120 is a wasteful number, since it uses less digits than its factorization.

301320222120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158315 (or 158308 counting only the distinct ones).

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

Adding to 301320222120 its reverse (21222023103), we get a palindrome (322542245223).

The spelling of 301320222120 in words is "three hundred one billion, three hundred twenty million, two hundred twenty-two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 5477 10954 16431 21908 27385 32862 43816 49293 54770 65724 82155 98586 109540 131448 152821 164310 197172 219080 246465 305642 328620 394344 458463 492930 611284 657240 764105 916926 985860 1222568 1375389 1528210 1833852 1971720 2292315 2750778 3056420 3667704 4584630 5501556 6112840 6876945 9169260 11003112 13753890 18338520 27507780 55015560 837000617 1674001234 2511001851 3348002468 4185003085 5022003702 6696004936 7533005553 8370006170 10044007404 12555009255 15066011106 16740012340 20088014808 25110018510 30132022212 33480024680 37665027765 50220037020 60264044424 75330055530 100440074040 150660111060 301320222120