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1133042220 = 2232524126119
BaseRepresentation
bin100001110001000…
…1101101000101100
32220222000111201200
41003202031220230
54310024322340
6304233005500
740035462042
oct10342155054
92828014650
101133042220
11531633432
12277553890
1315097c5ab
14aa6a0392
1569711330
hex4388da2c

1133042220 has 72 divisors (see below), whose sum is σ = 3451287840. Its totient is φ = 300879360.

The previous prime is 1133042203. The next prime is 1133042227. The reversal of 1133042220 is 222403311.

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 = 1133042193 and 1133042202.

It is not an unprimeable number, because it can be changed into a prime (1133042227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30321 + ... + 56439.

Almost surely, 21133042220 is an apocalyptic number.

1133042220 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 1133042220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1725643920).

1133042220 is an abundant number, since it is smaller than the sum of its proper divisors (2318245620).

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

1133042220 is a wasteful number, since it uses less digits than its factorization.

1133042220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26375 (or 26370 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 1133042220 is about 33660.6925062453. The cubic root of 1133042220 is about 1042.5143244586.

Adding to 1133042220 its reverse (222403311), we get a palindrome (1355445531).

The spelling of 1133042220 in words is "one billion, one hundred thirty-three million, forty-two thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 241 482 723 964 1205 1446 2169 2410 2892 3615 4338 4820 7230 8676 10845 14460 21690 26119 43380 52238 78357 104476 130595 156714 235071 261190 313428 391785 470142 522380 783570 940284 1175355 1567140 2350710 4701420 6294679 12589358 18884037 25178716 31473395 37768074 56652111 62946790 75536148 94420185 113304222 125893580 188840370 226608444 283260555 377680740 566521110 1133042220