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1133231220 = 223251117131257
BaseRepresentation
bin100001110001011…
…1011110001110100
32220222101002222200
41003202323301310
54310101344340
6304241024500
740040210052
oct10342736164
92828332880
101133231220
11531752430
12277625130
13150a17624
14aa70d1d2
156974c330
hex438bbc74

1133231220 has 288 divisors, whose sum is σ = 4016428416. Its totient is φ = 255590400.

The previous prime is 1133231201. The next prime is 1133231243. The reversal of 1133231220 is 221323311.

1133231220 is a `hidden beast` number, since 1 + 1 + 332 + 312 + 20 = 666.

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 = 1133231193 and 1133231202.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4409332 + ... + 4409588.

It is an arithmetic number, because the mean of its divisors is an integer number (13945932).

Almost surely, 21133231220 is an apocalyptic number.

1133231220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1133231220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2008214208).

1133231220 is an abundant number, since it is smaller than the sum of its proper divisors (2883197196).

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

1133231220 is a wasteful number, since it uses less digits than its factorization.

1133231220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 431 (or 426 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 1133231220 is about 33663.4998180522. The cubic root of 1133231220 is about 1042.5722876569.

Adding to 1133231220 its reverse (221323311), we get a palindrome (1354554531).

The spelling of 1133231220 in words is "one billion, one hundred thirty-three million, two hundred thirty-one thousand, two hundred twenty".