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11233020201120 = 253257800708473
BaseRepresentation
bin1010001101110110010000…
…1011011100100010100000
31110202212101111021101020200
42203131210023130202200
52433020211132413440
635520213411105200
72236362466206264
oct243354413344240
943685344241220
1011233020201120
113640996071a23
12131504b8a2200
13636366743673
142ab976c460a4
151472e398bc30
hexa37642dc8a0

11233020201120 has 72 divisors (see below), whose sum is σ = 38332681441236. Its totient is φ = 2995472053248.

The previous prime is 11233020201113. The next prime is 11233020201181. The reversal of 11233020201120 is 2110202033211.

11233020201120 is a `hidden beast` number, since 1 + 12 + 330 + 2 + 0 + 201 + 120 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 11209987889424 + 23032311696 = 3348132^2 + 151764^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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 = 11233020201093 and 11233020201102.

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 11 ways as a sum of consecutive naturals, for example, 3900352797 + ... + 3900355676.

Almost surely, 211233020201120 is an apocalyptic number.

11233020201120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11233020201120 is an abundant number, since it is smaller than the sum of its proper divisors (27099661240116).

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

11233020201120 is a wasteful number, since it uses less digits than its factorization.

11233020201120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7800708494 (or 7800708483 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 11233020201120 its reverse (2110202033211), we get a palindrome (13343222234331).

The spelling of 11233020201120 in words is "eleven trillion, two hundred thirty-three billion, twenty million, two hundred one thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 1440 7800708473 15601416946 23402125419 31202833892 39003542365 46804250838 62405667784 70206376257 78007084730 93608501676 117010627095 124811335568 140412752514 156014169460 187217003352 234021254190 249622671136 280825505028 312028338920 351031881285 374434006704 468042508380 561651010056 624056677840 702063762570 748868013408 936085016760 1123302020112 1248113355680 1404127525140 1872170033520 2246604040224 2808255050280 3744340067040 5616510100560 11233020201120