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1133353221 = 3711132361269
BaseRepresentation
bin100001110001101…
…1001100100000101
32220222121022100020
41003203121210011
54310114300341
6304243405353
740041225540
oct10343314405
92828538306
101133353221
11531826060
12277683859
13150a5b010
14aa741857
1569773566
hex438d9905

1133353221 has 128 divisors (see below), whose sum is σ = 2159861760. Its totient is φ = 509414400.

The previous prime is 1133353213. The next prime is 1133353223. The reversal of 1133353221 is 1223533311.

It is not a de Polignac number, because 1133353221 - 23 = 1133353213 is a prime.

It is a super-4 number, since 4×11333532214 (a number of 37 digits) contains 4444 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1133353191 and 1133353200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1133353223) 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 127 ways as a sum of consecutive naturals, for example, 4213075 + ... + 4213343.

It is an arithmetic number, because the mean of its divisors is an integer number (16873920).

Almost surely, 21133353221 is an apocalyptic number.

1133353221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1133353221 is a deficient number, since it is larger than the sum of its proper divisors (1026508539).

1133353221 is a wasteful number, since it uses less digits than its factorization.

1133353221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 387.

The product of its digits is 1620, while the sum is 24.

The square root of 1133353221 is about 33665.3118357754. The cubic root of 1133353221 is about 1042.6096999387.

Adding to 1133353221 its reverse (1223533311), we get a palindrome (2356886532).

The spelling of 1133353221 in words is "one billion, one hundred thirty-three million, three hundred fifty-three thousand, two hundred twenty-one".

Divisors: 1 3 7 11 13 21 23 33 39 61 69 77 91 143 161 183 231 253 269 273 299 427 429 483 671 759 793 807 897 1001 1281 1403 1771 1883 2013 2093 2379 2959 3003 3289 3497 4209 4697 5313 5551 5649 6187 6279 8723 8877 9821 9867 10491 14091 15433 16409 16653 18239 18561 20713 23023 24479 26169 29463 38467 43309 46299 49227 54717 61061 62139 68057 69069 73437 80431 108031 114863 115401 127673 129927 180499 183183 200629 204171 213317 241293 269269 324093 344589 377407 383019 476399 541497 563017 601887 639951 807807 884741 1132221 1263493 1404403 1429197 1493219 1689051 2346487 2641849 2654223 3790479 4151477 4213209 4479657 4906291 6193187 7039461 7925547 12454431 14718873 16425409 18579561 29060339 34344037 49276227 53969201 87181017 103032111 161907603 377784407 1133353221