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1143001332 = 22321122571021
BaseRepresentation
bin100010000100000…
…1101000011110100
32221122202111001200
41010020031003310
54320102020312
6305230252500
740216231254
oct10410150364
92848674050
101143001332
11537215900
1227a957130
13152a58665
14abb33964
156a52c0dc
hex4420d0f4

1143001332 has 108 divisors (see below), whose sum is σ = 3191270628. Its totient is φ = 344678400.

The previous prime is 1143001283. The next prime is 1143001393. The reversal of 1143001332 is 2331003411.

It can be written as a sum of positive squares in 2 ways, for example, as 958150116 + 184851216 = 30954^2 + 13596^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1118982 + ... + 1120002.

Almost surely, 21143001332 is an apocalyptic number.

1143001332 is a gapful number since it is divisible by the number (12) 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 1143001332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1595635314).

1143001332 is an abundant number, since it is smaller than the sum of its proper divisors (2048269296).

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

1143001332 is a wasteful number, since it uses less digits than its factorization.

1143001332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1310 (or 1294 counting only the distinct ones).

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

The square root of 1143001332 is about 33808.3027080627. The cubic root of 1143001332 is about 1045.5598846466.

Adding to 1143001332 its reverse (2331003411), we get a palindrome (3474004743).

The spelling of 1143001332 in words is "one billion, one hundred forty-three million, one thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 121 132 198 242 257 363 396 484 514 726 771 1021 1028 1089 1452 1542 2042 2178 2313 2827 3063 3084 4084 4356 4626 5654 6126 8481 9189 9252 11231 11308 12252 16962 18378 22462 25443 31097 33693 33924 36756 44924 50886 62194 67386 93291 101079 101772 123541 124388 134772 186582 202158 247082 262397 279873 370623 373164 404316 494164 524794 559746 741246 787191 1049588 1111869 1119492 1482492 1574382 2223738 2361573 2886367 3148764 4447476 4723146 5772734 8659101 9446292 11545468 17318202 25977303 31750037 34636404 51954606 63500074 95250111 103909212 127000148 190500222 285750333 381000444 571500666 1143001332