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1133411220 = 223256296729
BaseRepresentation
bin100001110001110…
…0111101110010100
32220222201020220100
41003203213232110
54310123124340
6304244534100
740041556614
oct10343475624
92828636810
101133411220
11531865697
122776b1330
13150a7b536
14aa758a44
1569785830
hex438e7b94

1133411220 has 36 divisors (see below), whose sum is σ = 3438014580. Its totient is φ = 302242944.

The previous prime is 1133411219. The next prime is 1133411291. The reversal of 1133411220 is 221143311.

1133411220 is a `hidden beast` number, since 1 + 1 + 33 + 411 + 220 = 666.

1133411220 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 411521796 + 721889424 = 20286^2 + 26868^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a junction number, because it is equal to n+sod(n) for n = 1133411193 and 1133411202.

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, 3148185 + ... + 3148544.

It is an arithmetic number, because the mean of its divisors is an integer number (95500405).

Almost surely, 21133411220 is an apocalyptic number.

1133411220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1133411220 is an abundant number, since it is smaller than the sum of its proper divisors (2304603360).

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

1133411220 is a wasteful number, since it uses less digits than its factorization.

1133411220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6296744 (or 6296739 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 1133411220 is about 33666.1732307074. The cubic root of 1133411220 is about 1042.6274847115.

Adding to 1133411220 its reverse (221143311), we get a palindrome (1354554531).

The spelling of 1133411220 in words is "one billion, one hundred thirty-three million, four hundred eleven thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 6296729 12593458 18890187 25186916 31483645 37780374 56670561 62967290 75560748 94450935 113341122 125934580 188901870 226682244 283352805 377803740 566705610 1133411220