Search a number
-
+
11033030133000 = 2332531225892237
BaseRepresentation
bin1010000010001101001111…
…0101111000010100001000
31110001202011211200021201200
42200203103311320110020
52421231121203224000
635244300513544200
72216052525526221
oct240432365702410
943052154607650
1011033030133000
113574099974797
1212a2337575060
136205444c1055
142a20041cc248
15141edb32a500
hexa08d3d78508

11033030133000 has 96 divisors (see below), whose sum is σ = 37291641879960. Its totient is φ = 2942141366400.

The previous prime is 11033030132933. The next prime is 11033030133001. The reversal of 11033030133000 is 33103033011.

11033030133000 is a `hidden beast` number, since 1 + 1 + 0 + 3 + 30 + 301 + 330 + 0 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2471542428996 + 8561487704004 = 1572114^2 + 2926002^2 .

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

It is not an unprimeable number, because it can be changed into a prime (11033030133001) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 612937119 + ... + 612955118.

Almost surely, 211033030133000 is an apocalyptic number.

11033030133000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11033030133000 is an abundant number, since it is smaller than the sum of its proper divisors (26258611746960).

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

11033030133000 is a wasteful number, since it uses less digits than its factorization.

11033030133000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1225892264 (or 1225892247 counting only the distinct ones).

The product of its (nonzero) digits is 243, while the sum is 18.

Adding to 11033030133000 its reverse (33103033011), we get a palindrome (11066133166011).

The spelling of 11033030133000 in words is "eleven trillion, thirty-three billion, thirty million, one hundred thirty-three thousand".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 45 50 60 72 75 90 100 120 125 150 180 200 225 250 300 360 375 450 500 600 750 900 1000 1125 1500 1800 2250 3000 4500 9000 1225892237 2451784474 3677676711 4903568948 6129461185 7355353422 9807137896 11033030133 12258922370 14710706844 18388383555 22066060266 24517844740 29421413688 30647305925 36776767110 44132120532 49035689480 55165150665 61294611850 73553534220 88264241064 91941917775 110330301330 122589223700 147107068440 153236529625 183883835550 220660602660 245178447400 275825753325 306473059250 367767671100 441321205320 459709588875 551651506650 612946118500 735535342200 919419177750 1103303013300 1225892237000 1379128766625 1838838355500 2206606026600 2758257533250 3677676711000 5516515066500 11033030133000