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1033130010 = 23511101139223
BaseRepresentation
bin111101100101000…
…101000000011010
32200000000102221110
4331211011000122
54103440130020
6250303321150
734413313563
oct7545050032
92600012843
101033130010
114901a1960
12249bb01b6
13136069a43
149b2d316a
1560a778e0
hex3d94501a

1033130010 has 128 divisors (see below), whose sum is σ = 2763694080. Its totient is φ = 245088000.

The previous prime is 1033130009. The next prime is 1033130011. The reversal of 1033130010 is 100313301.

It is an interprime number because it is at equal distance from previous prime (1033130009) and next prime (1033130011).

It is not an unprimeable number, because it can be changed into a prime (1033130011) 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 63 ways as a sum of consecutive naturals, for example, 4632759 + ... + 4632981.

It is an arithmetic number, because the mean of its divisors is an integer number (21591360).

Almost surely, 21033130010 is an apocalyptic number.

1033130010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1033130010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1381847040).

1033130010 is an abundant number, since it is smaller than the sum of its proper divisors (1730564070).

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

1033130010 is a wasteful number, since it uses less digits than its factorization.

1033130010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 484.

The product of its (nonzero) digits is 27, while the sum is 12.

The square root of 1033130010 is about 32142.3398339324. The cubic root of 1033130010 is about 1010.9235776347.

Adding to 1033130010 its reverse (100313301), we get a palindrome (1133443311).

The spelling of 1033130010 in words is "one billion, thirty-three million, one hundred thirty thousand, ten".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 101 110 139 165 202 223 278 303 330 417 446 505 606 669 695 834 1010 1111 1115 1338 1390 1515 1529 2085 2222 2230 2453 3030 3058 3333 3345 4170 4587 4906 5555 6666 6690 7359 7645 9174 11110 12265 14039 14718 15290 16665 22523 22935 24530 28078 30997 33330 36795 42117 45046 45870 61994 67569 70195 73590 84234 92991 112615 135138 140390 154429 154985 185982 210585 225230 247753 308858 309970 337845 340967 421170 463287 464955 495506 675690 681934 743259 772145 926574 929910 1022901 1238765 1486518 1544290 1704835 2045802 2316435 2477530 3130697 3409670 3716295 4632870 5114505 6261394 7432590 9392091 10229010 15653485 18784182 31306970 34437667 46960455 68875334 93920910 103313001 172188335 206626002 344376670 516565005 1033130010