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220313130120 = 233351012019739
BaseRepresentation
bin1100110100101110101…
…1111001010010001000
3210001200000000121112000
43031023223321102020
512102200130130440
6245113242551000
721626364464466
oct3151353712210
9701600017460
10220313130120
1185486022546
1236846508460
1317a108410b5
14a93dbd7836
155ae6944730
hex334baf9488

220313130120 has 128 divisors (see below), whose sum is σ = 741648528000. Its totient is φ = 58168454400.

The previous prime is 220313130109. The next prime is 220313130133. The reversal of 220313130120 is 21031313022.

220313130120 is a `hidden beast` number, since 220 + 313 + 13 + 0 + 120 = 666.

220313130120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 = 220313130093 and 220313130102.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 900790 + ... + 1118949.

It is an arithmetic number, because the mean of its divisors is an integer number (5794129125).

Almost surely, 2220313130120 is an apocalyptic number.

220313130120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

220313130120 is an abundant number, since it is smaller than the sum of its proper divisors (521335397880).

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

220313130120 is a wasteful number, since it uses less digits than its factorization.

220313130120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2019860 (or 2019850 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 220313130120 its reverse (21031313022), we get a palindrome (241344443142).

The spelling of 220313130120 in words is "two hundred twenty billion, three hundred thirteen million, one hundred thirty thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 90 101 108 120 135 180 202 216 270 303 360 404 505 540 606 808 909 1010 1080 1212 1515 1818 2020 2424 2727 3030 3636 4040 4545 5454 6060 7272 9090 10908 12120 13635 18180 21816 27270 36360 54540 109080 2019739 4039478 6059217 8078956 10098695 12118434 16157912 18177651 20197390 24236868 30296085 36355302 40394780 48473736 54532953 60592170 72710604 80789560 90888255 109065906 121184340 145421208 181776510 203993639 218131812 242368680 272664765 363553020 407987278 436263624 545329530 611980917 727106040 815974556 1019968195 1090659060 1223961834 1631949112 1835942751 2039936390 2181318120 2447923668 3059904585 3671885502 4079872780 4895847336 5507828253 6119809170 7343771004 8159745560 9179713755 11015656506 12239618340 14687542008 18359427510 22031313012 24479236680 27539141265 36718855020 44062626024 55078282530 73437710040 110156565060 220313130120