Search a number
-
+
11331132211000 = 235371618733173
BaseRepresentation
bin1010010011100011110000…
…0111000011111100111000
31111010020122002022212221101
42210320330013003330320
52441122124321223000
640033241132021144
72246435006425360
oct244707407037470
944106562285841
1011331132211000
113679562805108
1213300713017b4
136426a1065b94
142b26032479a0
15149b3708be6a
hexa4e3c1c3f38

11331132211000 has 64 divisors (see below), whose sum is σ = 30302685017280. Its totient is φ = 3884959612800.

The previous prime is 11331132210967. The next prime is 11331132211093. The reversal of 11331132211000 is 11223113311.

11331132211000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 809359587 + ... + 809373586.

It is an arithmetic number, because the mean of its divisors is an integer number (473479453395).

Almost surely, 211331132211000 is an apocalyptic number.

11331132211000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11331132211000 is an abundant number, since it is smaller than the sum of its proper divisors (18971552806280).

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

11331132211000 is a wasteful number, since it uses less digits than its factorization.

11331132211000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1618733201 (or 1618733187 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 19.

Adding to 11331132211000 its reverse (11223113311), we get a palindrome (11342355324311).

The spelling of 11331132211000 in words is "eleven trillion, three hundred thirty-one billion, one hundred thirty-two million, two hundred eleven thousand".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 125 140 175 200 250 280 350 500 700 875 1000 1400 1750 3500 7000 1618733173 3237466346 6474932692 8093665865 11331132211 12949865384 16187331730 22662264422 32374663460 40468329325 45324528844 56655661055 64749326920 80936658650 90649057688 113311322110 161873317300 202341646625 226622644220 283278305275 323746634600 404683293250 453245288440 566556610550 809366586500 1133113221100 1416391526375 1618733173000 2266226442200 2832783052750 5665566105500 11331132211000