Search a number
-
+
11200220132040 = 2332531111722589
BaseRepresentation
bin1010001011111100000100…
…1001000111001011001000
31110122201201121011020012100
42202333001021013023020
52432001022323211130
635453150551513400
72234121616213602
oct242770111071310
943581647136170
1011200220132040
113628a94303615
12130a817088860
1363323a228a74
142aa14499a172
15146524112c60
hexa2fc12472c8

11200220132040 has 48 divisors (see below), whose sum is σ = 36400715430300. Its totient is φ = 2986725368448.

The previous prime is 11200220132009. The next prime is 11200220132041. The reversal of 11200220132040 is 4023102200211.

It is a happy number.

11200220132040 is a `hidden beast` number, since 1 + 120 + 0 + 220 + 1 + 320 + 4 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 10979322012036 + 220898120004 = 3313506^2 + 469998^2 .

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 (11200220132041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15555860935 + ... + 15555861654.

Almost surely, 211200220132040 is an apocalyptic number.

11200220132040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11200220132040 is an abundant number, since it is smaller than the sum of its proper divisors (25200495298260).

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

11200220132040 is a wasteful number, since it uses less digits than its factorization.

11200220132040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31111722606 (or 31111722599 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 11200220132040 its reverse (4023102200211), we get a palindrome (15223322332251).

The spelling of 11200220132040 in words is "eleven trillion, two hundred billion, two hundred twenty million, one hundred thirty-two thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 31111722589 62223445178 93335167767 124446890356 155558612945 186670335534 248893780712 280005503301 311117225890 373340671068 466675838835 560011006602 622234451780 746681342136 933351677670 1120022013204 1244468903560 1400027516505 1866703355340 2240044026408 2800055033010 3733406710680 5600110066020 11200220132040