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1133325312 = 2103727529
BaseRepresentation
bin100001110001101…
…0010110000000000
32220222112220001120
41003203102300000
54310112402222
6304243032240
740041051300
oct10343226000
92828486046
101133325312
11531807099
1227766b680
13150a4b3c2
14aa735600
156976a15c
hex438d2c00

1133325312 has 132 divisors (see below), whose sum is σ = 3514371480. Its totient is φ = 323764224.

The previous prime is 1133325287. The next prime is 1133325313. The reversal of 1133325312 is 2135233311.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (1133325313) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 146764 + ... + 154292.

Almost surely, 21133325312 is an apocalyptic number.

1133325312 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 1133325312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1757185740).

1133325312 is an abundant number, since it is smaller than the sum of its proper divisors (2381046168).

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

1133325312 is an equidigital number, since it uses as much as digits as its factorization.

1133325312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7566 (or 7541 counting only the distinct ones).

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

The square root of 1133325312 is about 33664.8973264438. The cubic root of 1133325312 is about 1042.6011417263.

Adding to 1133325312 its reverse (2135233311), we get a palindrome (3268558623).

The spelling of 1133325312 in words is "one billion, one hundred thirty-three million, three hundred twenty-five thousand, three hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 64 84 96 98 112 128 147 168 192 196 224 256 294 336 384 392 448 512 588 672 768 784 896 1024 1176 1344 1536 1568 1792 2352 2688 3072 3136 3584 4704 5376 6272 7168 7529 9408 10752 12544 15058 18816 21504 22587 25088 30116 37632 45174 50176 52703 60232 75264 90348 105406 120464 150528 158109 180696 210812 240928 316218 361392 368921 421624 481856 632436 722784 737842 843248 963712 1106763 1264872 1445568 1475684 1686496 1927424 2213526 2529744 2891136 2951368 3372992 3854848 4427052 5059488 5782272 5902736 6745984 7709696 8854104 10118976 11564544 11805472 13491968 17708208 20237952 23129088 23610944 26983936 35416416 40475904 47221888 53967872 70832832 80951808 94443776 141665664 161903616 188887552 283331328 377775104 566662656 1133325312