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213310040455120 = 24571920047936133
BaseRepresentation
bin110000100000000100011101…
…001100000011011111010000
31000222021020111110221120201011
4300200010131030003133100
5210424332430324030440
62033401140233020304
762634066440425510
oct6040043514033720
91028236443846634
10213310040455120
1161a70309945934
121bb10ab8b54694
139204086c590ab
143a96392441840
15199da3c5d49ea
hexc2011d3037d0

213310040455120 has 80 divisors (see below), whose sum is σ = 596626579347840. Its totient is φ = 69285667272192.

The previous prime is 213310040455103. The next prime is 213310040455159. The reversal of 213310040455120 is 21554040013312.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10023957427 + ... + 10023978706.

It is an arithmetic number, because the mean of its divisors is an integer number (7457832241848).

Almost surely, 2213310040455120 is an apocalyptic number.

213310040455120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213310040455120 is an abundant number, since it is smaller than the sum of its proper divisors (383316538892720).

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

213310040455120 is a wasteful number, since it uses less digits than its factorization.

213310040455120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20047936172 (or 20047936166 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 31.

Adding to 213310040455120 its reverse (21554040013312), we get a palindrome (234864080468432).

The spelling of 213310040455120 in words is "two hundred thirteen trillion, three hundred ten billion, forty million, four hundred fifty-five thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 19 20 28 35 38 40 56 70 76 80 95 112 133 140 152 190 266 280 304 380 532 560 665 760 1064 1330 1520 2128 2660 5320 10640 20047936133 40095872266 80191744532 100239680665 140335552931 160383489064 200479361330 280671105862 320766978128 380910786527 400958722660 561342211724 701677764655 761821573054 801917445320 1122684423448 1403355529310 1523643146108 1603834890640 1904553932635 2245368846896 2666375505689 2806711058620 3047286292216 3809107865270 5332751011378 5613422117240 6094572584432 7618215730540 10665502022756 11226844234480 13331877528445 15236431461080 21331004045512 26663755056890 30472862922160 42662008091024 53327510113780 106655020227560 213310040455120