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201112302240 = 25325139661321
BaseRepresentation
bin1011101101001100111…
…0100011001010100000
3201020002212021111022200
42323103032203022200
511243334222132430
6232220102333200
720346515235453
oct2732316431240
9636085244280
10201112302240
1178322719353
1232b8812a200
1315c708b9595
149a3bb0349a
155370e3a460
hex2ed33a32a0

201112302240 has 72 divisors (see below), whose sum is σ = 686295736308. Its totient is φ = 53629946880.

The previous prime is 201112302211. The next prime is 201112302253. The reversal of 201112302240 is 42203211102.

It is a happy number.

201112302240 is a `hidden beast` number, since 201 + 11 + 230 + 224 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 180689605776 + 20422696464 = 425076^2 + 142908^2 .

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

It is a super-2 number, since 2×2011123022402 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 69829221 + ... + 69832100.

Almost surely, 2201112302240 is an apocalyptic number.

201112302240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201112302240 is an abundant number, since it is smaller than the sum of its proper divisors (485183434068).

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

201112302240 is a wasteful number, since it uses less digits than its factorization.

201112302240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139661342 (or 139661331 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 201112302240 its reverse (42203211102), we get a palindrome (243315513342).

The spelling of 201112302240 in words is "two hundred one billion, one hundred twelve million, three hundred two thousand, two hundred forty".

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 139661321 279322642 418983963 558645284 698306605 837967926 1117290568 1256951889 1396613210 1675935852 2094919815 2234581136 2513903778 2793226420 3351871704 4189839630 4469162272 5027807556 5586452840 6284759445 6703743408 8379679260 10055615112 11172905680 12569518890 13407486816 16759358520 20111230224 22345811360 25139037780 33518717040 40222460448 50278075560 67037434080 100556151120 201112302240