Search a number
-
+
11331132111200 = 2552111287628649
BaseRepresentation
bin1010010011100011110000…
…0110101011100101100000
31111010020122002010211001002
42210320330012223211200
52441122124310024300
640033241125531132
72246435005531406
oct244707406534540
944106562124032
1011331132111200
113679562747130
121330071273aa8
136426a102c625
142b260321d476
15149b3706c5d5
hexa4e3c1ab960

11331132111200 has 72 divisors (see below), whose sum is σ = 30176865041400. Its totient is φ = 4120411673600.

The previous prime is 11331132111199. The next prime is 11331132111227. The reversal of 11331132111200 is 211123113311.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

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, 643805525 + ... + 643823124.

It is an arithmetic number, because the mean of its divisors is an integer number (419123125575).

Almost surely, 211331132111200 is an apocalyptic number.

11331132111200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11331132111200 is an abundant number, since it is smaller than the sum of its proper divisors (18845732930200).

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

11331132111200 is a wasteful number, since it uses less digits than its factorization.

11331132111200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1287628680 (or 1287628667 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 20.

Adding to 11331132111200 its reverse (211123113311), we get a palindrome (11542255224511).

The spelling of 11331132111200 in words is "eleven trillion, three hundred thirty-one billion, one hundred thirty-two million, one hundred eleven thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 32 40 44 50 55 80 88 100 110 160 176 200 220 275 352 400 440 550 800 880 1100 1760 2200 4400 8800 1287628649 2575257298 5150514596 6438143245 10301029192 12876286490 14163915139 20602058384 25752572980 28327830278 32190716225 41204116768 51505145960 56655660556 64381432450 70819575695 103010291920 113311321112 128762864900 141639151390 206020583840 226622642224 257525729800 283278302780 354097878475 453245284448 515051459600 566556605560 708195756950 1030102919200 1133113211120 1416391513900 2266226422240 2832783027800 5665566055600 11331132111200