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11300210020320 = 2535131810931093
BaseRepresentation
bin1010010001110000100100…
…0000010000111111100000
31111000021211001202211202220
42210130021000100333200
52440120312231122240
640011124514111040
72244261511226064
oct244341100207740
944007731684686
1011300210020320
113667434a62621
12132608157b480
1363c7b3907b30
142b0d0c547aa4
15148e275015d0
hexa4709010fe0

11300210020320 has 96 divisors (see below), whose sum is σ = 38333789397792. Its totient is φ = 2781590157312.

The previous prime is 11300210020291. The next prime is 11300210020321. The reversal of 11300210020320 is 2302001200311.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 11300210020320.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11300210020321) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 905459307 + ... + 905471786.

It is an arithmetic number, because the mean of its divisors is an integer number (399310306227).

Almost surely, 211300210020320 is an apocalyptic number.

11300210020320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11300210020320 is an abundant number, since it is smaller than the sum of its proper divisors (27033579377472).

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

11300210020320 is a wasteful number, since it uses less digits than its factorization.

11300210020320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1810931124 (or 1810931116 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 11300210020320 its reverse (2302001200311), we get a palindrome (13602211220631).

The spelling of 11300210020320 in words is "eleven trillion, three hundred billion, two hundred ten million, twenty thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 32 39 40 48 52 60 65 78 80 96 104 120 130 156 160 195 208 240 260 312 390 416 480 520 624 780 1040 1248 1560 2080 3120 6240 1810931093 3621862186 5432793279 7243724372 9054655465 10865586558 14487448744 18109310930 21731173116 23542104209 27163966395 28974897488 36218621860 43462346232 47084208418 54327932790 57949794976 70626312627 72437243720 86924692464 94168416836 108655865580 117710521045 141252625254 144874487440 173849384928 188336833672 217311731160 235421042090 282505250508 289748974880 353131563135 376673667344 434623462320 470842084180 565010501016 706263126270 753347334688 869246924640 941684168360 1130021002032 1412526252540 1883368336720 2260042004064 2825052505080 3766736673440 5650105010160 11300210020320