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1133332221 = 372131229257
BaseRepresentation
bin100001110001101…
…0100011011111101
32220222120020112110
41003203110123331
54310113112341
6304243124233
740041110400
oct10343243375
92828506473
101133332221
115318112aa
12277673679
13150a515a8
14aa737d37
156976c216
hex438d46fd

1133332221 has 48 divisors (see below), whose sum is σ = 1785896640. Its totient is φ = 637378560.

The previous prime is 1133332219. The next prime is 1133332243. The reversal of 1133332221 is 1222333311.

It is not a de Polignac number, because 1133332221 - 21 = 1133332219 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1133332201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4409725 + ... + 4409981.

It is an arithmetic number, because the mean of its divisors is an integer number (37206180).

Almost surely, 21133332221 is an apocalyptic number.

It is an amenable number.

1133332221 is a deficient number, since it is larger than the sum of its proper divisors (652564419).

1133332221 is a wasteful number, since it uses less digits than its factorization.

1133332221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 634 (or 627 counting only the distinct ones).

The product of its digits is 648, while the sum is 21.

The square root of 1133332221 is about 33664.9999405911. Note that the first 4 decimals coincide. The cubic root of 1133332221 is about 1042.6032603638.

Adding to 1133332221 its reverse (1222333311), we get a palindrome (2355665532).

The spelling of 1133332221 in words is "one billion, one hundred thirty-three million, three hundred thirty-two thousand, two hundred twenty-one".

Divisors: 1 3 7 21 49 131 147 229 257 393 687 771 917 1603 1799 2751 4809 5397 6419 11221 12593 19257 29999 33663 33667 37779 58853 89997 101001 176559 209993 235669 411971 629979 707007 1235913 1469951 1649683 2883797 4409853 4949049 7709743 8651391 23129229 53968201 161904603 377777407 1133332221