Search a number
-
+
11100010002000 = 243531850001667
BaseRepresentation
bin1010000110000110110000…
…1001110011011001010000
31110022011001210010011201120
42201201230021303121100
52423330310030031000
635335135121002240
72223643411160223
oct241415411633120
943264053104646
1011100010002000
11359a5402a6727
1212b330aa83380
1362695a02622a
142a5359a7b5ba
15143b0b71c6a0
hexa186c273650

11100010002000 has 80 divisors (see below), whose sum is σ = 35786432265792. Its totient is φ = 2960002665600.

The previous prime is 11100010001999. The next prime is 11100010002001. The reversal of 11100010002000 is 20001000111.

It is an interprime number because it is at equal distance from previous prime (11100010001999) and next prime (11100010002001).

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a self number, because there is not a number n which added to its sum of digits gives 11100010002000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11100010002001) 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, 924994834 + ... + 925006833.

Almost surely, 211100010002000 is an apocalyptic number.

11100010002000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11100010002000 is an abundant number, since it is smaller than the sum of its proper divisors (24686422263792).

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

11100010002000 is a wasteful number, since it uses less digits than its factorization.

11100010002000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1850001693 (or 1850001677 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 6.

Adding to 11100010002000 its reverse (20001000111), we get a palindrome (11120011002111).

The spelling of 11100010002000 in words is "eleven trillion, one hundred billion, ten million, two thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 125 150 200 240 250 300 375 400 500 600 750 1000 1200 1500 2000 3000 6000 1850001667 3700003334 5550005001 7400006668 9250008335 11100010002 14800013336 18500016670 22200020004 27750025005 29600026672 37000033340 44400040008 46250041675 55500050010 74000066680 88800080016 92500083350 111000100020 138750125025 148000133360 185000166700 222000200040 231250208375 277500250050 370000333400 444000400080 462500416750 555000500100 693750625125 740000666800 925000833500 1110001000200 1387501250250 1850001667000 2220002000400 2775002500500 3700003334000 5550005001000 11100010002000