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1133001320 = 2351115117053
BaseRepresentation
bin100001110001000…
…0011101001101000
32220221221102121212
41003202003221220
54310022020240
6304232052252
740035231563
oct10342035150
92827842555
101133001320
11531605730
12277534088
13150966aa9
14aa68d4da
1569704165
hex43883a68

1133001320 has 64 divisors (see below), whose sum is σ = 2799584640. Its totient is φ = 409248000.

The previous prime is 1133001307. The next prime is 1133001341. The reversal of 1133001320 is 231003311.

It is a super-2 number, since 2×11330013202 = 2567383982243484800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1133001295 and 1133001304.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 57914 + ... + 74966.

It is an arithmetic number, because the mean of its divisors is an integer number (43743510).

Almost surely, 21133001320 is an apocalyptic number.

1133001320 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 1133001320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1399792320).

1133001320 is an abundant number, since it is smaller than the sum of its proper divisors (1666583320).

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

1133001320 is a wasteful number, since it uses less digits than its factorization.

1133001320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17226 (or 17222 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 14.

The square root of 1133001320 is about 33660.0849672130. The cubic root of 1133001320 is about 1042.5017802514.

Adding to 1133001320 its reverse (231003311), we get a palindrome (1364004631).

The spelling of 1133001320 in words is "one billion, one hundred thirty-three million, one thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 151 220 302 440 604 755 1208 1510 1661 3020 3322 6040 6644 8305 13288 16610 17053 33220 34106 66440 68212 85265 136424 170530 187583 341060 375166 682120 750332 937915 1500664 1875830 2575003 3751660 5150006 7503320 10300012 12875015 20600024 25750030 28325033 51500060 56650066 103000120 113300132 141625165 226600264 283250330 566500660 1133001320