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11020022230320 = 2432518184561251
BaseRepresentation
bin1010000001011100110010…
…0000101010110100110000
31110000111121022000100211100
42200113030200222310300
52421023001142332240
635234310041244400
72215112265265545
oct240271440526460
943014538010740
1011020022230320
1135696242919a4
12129b907193700
1361c2505b330c
142a152c7a6bcc
151419c9366e30
hexa05cc82ad30

11020022230320 has 120 divisors (see below), whose sum is σ = 37213377535152. Its totient is φ = 2922436800000.

The previous prime is 11020022230313. The next prime is 11020022230331. The reversal of 11020022230320 is 2303222002011.

11020022230320 is a `hidden beast` number, since 110 + 2 + 0 + 0 + 2 + 2 + 230 + 320 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

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 = 11020022230293 and 11020022230302.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 42150306 + ... + 42410945.

Almost surely, 211020022230320 is an apocalyptic number.

11020022230320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11020022230320 is an abundant number, since it is smaller than the sum of its proper divisors (26193355304832).

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

11020022230320 is a wasteful number, since it uses less digits than its factorization.

11020022230320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84561451 (or 84561442 counting only the distinct ones).

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

Adding to 11020022230320 its reverse (2303222002011), we get a palindrome (13323244232331).

The spelling of 11020022230320 in words is "eleven trillion, twenty billion, twenty-two million, two hundred thirty thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 181 240 360 362 543 720 724 905 1086 1448 1629 1810 2172 2715 2896 3258 3620 4344 5430 6516 7240 8145 8688 10860 13032 14480 16290 21720 26064 32580 43440 65160 130320 84561251 169122502 253683753 338245004 422806255 507367506 676490008 761051259 845612510 1014735012 1268418765 1352980016 1522102518 1691225020 2029470024 2536837530 3044205036 3382450040 3805256295 4058940048 5073675060 6088410072 6764900080 7610512590 10147350120 12176820144 15221025180 15305586431 20294700240 30442050360 30611172862 45916759293 60884100720 61222345724 76527932155 91833518586 122444691448 137750277879 153055864310 183667037172 229583796465 244889382896 275500555758 306111728620 367334074344 459167592930 551001111516 612223457240 688751389395 734668148688 918335185860 1102002223032 1224446914480 1377502778790 1836670371720 2204004446064 2755005557580 3673340743440 5510011115160 11020022230320