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11141305200 = 2432523094807
BaseRepresentation
bin10100110000001001…
…01101001101110000
31001202110022221112100
422120010231031300
5140304133231300
65041312500400
7543043350234
oct123004551560
931673287470
1011141305200
1147a7a81553
1221ab24a700
1310872a0aac
147799745c4
154531a2700
hex29812d370

11141305200 has 90 divisors (see below), whose sum is σ = 38663436344. Its totient is φ = 2971013760.

The previous prime is 11141305183. The next prime is 11141305229. The reversal of 11141305200 is 250314111.

11141305200 is a `hidden beast` number, since 1 + 1 + 14 + 130 + 520 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (90).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1543804 + ... + 1551003.

Almost surely, 211141305200 is an apocalyptic number.

11141305200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11141305200 is an abundant number, since it is smaller than the sum of its proper divisors (27522131144).

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

11141305200 is a wasteful number, since it uses less digits than its factorization.

11141305200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3094831 (or 3094817 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

Adding to 11141305200 its reverse (250314111), we get a palindrome (11391619311).

The spelling of 11141305200 in words is "eleven billion, one hundred forty-one million, three hundred five thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 30 36 40 45 48 50 60 72 75 80 90 100 120 144 150 180 200 225 240 300 360 400 450 600 720 900 1200 1800 3600 3094807 6189614 9284421 12379228 15474035 18568842 24758456 27853263 30948070 37137684 46422105 49516912 55706526 61896140 74275368 77370175 92844210 111413052 123792280 139266315 148550736 154740350 185688420 222826104 232110525 247584560 278532630 309480700 371376840 445652208 464221050 557065260 618961400 696331575 742753680 928442100 1114130520 1237922800 1392663150 1856884200 2228261040 2785326300 3713768400 5570652600 11141305200