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1033001333130 = 235132779562171
BaseRepresentation
bin11110000100000111010…
…11010111000110001010
310122202100122020211220110
433002003223113012022
5113411041320130010
62110315415335150
7134426510312154
oct17020353270612
93582318224813
101033001333130
1136910335aa28
121482520814b6
13765473c0bb0
1437dd7323ad4
151bd0dae9120
hexf083ad718a

1033001333130 has 64 divisors (see below), whose sum is σ = 2679550086528. Its totient is φ = 253359256320.

The previous prime is 1033001333129. The next prime is 1033001333153. The reversal of 1033001333130 is 313331003301.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 1033001333097 and 1033001333106.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4673056 + ... + 4889115.

It is an arithmetic number, because the mean of its divisors is an integer number (41867970102).

Almost surely, 21033001333130 is an apocalyptic number.

1033001333130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1033001333130 is an abundant number, since it is smaller than the sum of its proper divisors (1646548753398).

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

1033001333130 is a wasteful number, since it uses less digits than its factorization.

1033001333130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9562471.

The product of its (nonzero) digits is 729, while the sum is 21.

Adding to 1033001333130 its reverse (313331003301), we get a palindrome (1346332336431).

The spelling of 1033001333130 in words is "one trillion, thirty-three billion, one million, three hundred thirty-three thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 65 78 130 195 277 390 554 831 1385 1662 2770 3601 4155 7202 8310 10803 18005 21606 36010 54015 108030 9562171 19124342 28686513 47810855 57373026 95621710 124308223 143432565 248616446 286865130 372924669 621541115 745849338 1243082230 1864623345 2648721367 3729246690 5297442734 7946164101 13243606835 15892328202 26487213670 34433377771 39730820505 68866755542 79461641010 103300133313 172166888855 206600266626 344333777710 516500666565 1033001333130