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2013300212220 = 22325111821755817
BaseRepresentation
bin11101010011000010000…
…010110100000111111100
321010110200100112122011200
4131103002002310013330
5230441214323242340
64140521454415500
7265312312305003
oct35230202640774
97113610478150
102013300212220
11706921535110
12286236201590
13117b12ba962b
146d631045c3a
1537585981330
hex1d4c20b41fc

2013300212220 has 144 divisors (see below), whose sum is σ = 6662678506848. Its totient is φ = 488037242880.

The previous prime is 2013300212179. The next prime is 2013300212239. The reversal of 2013300212220 is 222120033102.

2013300212220 is a `hidden beast` number, since 201 + 3 + 30 + 0 + 212 + 220 = 666.

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 = 2013300212193 and 2013300212202.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 36041752 + ... + 36097568.

It is an arithmetic number, because the mean of its divisors is an integer number (46268600742).

Almost surely, 22013300212220 is an apocalyptic number.

2013300212220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2013300212220 is an abundant number, since it is smaller than the sum of its proper divisors (4649378294628).

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

2013300212220 is a wasteful number, since it uses less digits than its factorization.

2013300212220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74060 (or 74055 counting only the distinct ones).

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

Adding to 2013300212220 its reverse (222120033102), we get a palindrome (2235420245322).

The spelling of 2013300212220 in words is "two trillion, thirteen billion, three hundred million, two hundred twelve thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 132 165 180 198 220 330 396 495 660 990 1980 18217 36434 54651 55817 72868 91085 109302 111634 163953 167451 182170 200387 218604 223268 273255 279085 327906 334902 364340 400774 502353 546510 558170 601161 613987 655812 669804 801548 819765 837255 1001935 1004706 1093020 1116340 1202322 1227974 1639530 1674510 1803483 1841961 2003870 2009412 2404644 2455948 2511765 3005805 3069935 3279060 3349020 3606966 3683922 4007740 5023530 5525883 6011610 6139870 7213932 7367844 9017415 9209805 10047060 11051766 12023220 12279740 18034830 18419610 22103532 27629415 36069660 36839220 55258830 110517660 1016818289 2033636578 3050454867 4067273156 5084091445 6100909734 9151364601 10168182890 11185001179 12201819468 15252274335 18302729202 20336365780 22370002358 30504548670 33555003537 36605458404 44740004716 45756823005 55925005895 61009097340 67110007074 91513646010 100665010611 111850011790 134220014148 167775017685 183027292020 201330021222 223700023580 335550035370 402660042444 503325053055 671100070740 1006650106110 2013300212220