Search a number
-
+
210113122112320 = 2657269348700747
BaseRepresentation
bin101111110001100011000110…
…000000011001001101000000
31000112221121200202002000201111
4233301203012000121031000
5210014443133230043240
62022512345154013104
762154113016034630
oct5761430600311500
91015847622060644
10210113122112320
1160a48524881699
121b6953b7577194
1390317756b202b
1439c575a8486c0
1519457d02401ea
hexbf18c6019340

210113122112320 has 112 divisors (see below), whose sum is σ = 573933535148160. Its totient is φ = 71770982344704.

The previous prime is 210113122112303. The next prime is 210113122112321. The reversal of 210113122112320 is 23211221311012.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

It is a junction number, because it is equal to n+sod(n) for n = 210113122112291 and 210113122112300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (210113122112321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 173747814 + ... + 174952933.

Almost surely, 2210113122112320 is an apocalyptic number.

210113122112320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

210113122112320 is an abundant number, since it is smaller than the sum of its proper divisors (363820413035840).

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

210113122112320 is a wasteful number, since it uses less digits than its factorization.

210113122112320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 348701040 (or 348701030 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 22.

Adding to 210113122112320 its reverse (23211221311012), we get a palindrome (233324343423332).

The spelling of 210113122112320 in words is "two hundred ten trillion, one hundred thirteen billion, one hundred twenty-two million, one hundred twelve thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 140 160 224 269 280 320 448 538 560 1076 1120 1345 1883 2152 2240 2690 3766 4304 5380 7532 8608 9415 10760 15064 17216 18830 21520 30128 37660 43040 60256 75320 86080 120512 150640 301280 602560 348700747 697401494 1394802988 1743503735 2440905229 2789605976 3487007470 4881810458 5579211952 6974014940 9763620916 11158423904 12204526145 13948029880 19527241832 22316847808 24409052290 27896059760 39054483664 48818104580 55792119520 78108967328 93800500943 97636209160 111584239040 156217934656 187601001886 195272418320 375202003772 390544836640 469002504715 656603506601 750404007544 781089673280 938005009430 1313207013202 1500808015088 1876010018860 2626414026404 3001616030176 3283017533005 3752020037720 5252828052808 6003232060352 6566035066010 7504040075440 10505656105616 13132070132020 15008080150880 21011312211232 26264140264040 30016160301760 42022624422464 52528280528080 105056561056160 210113122112320