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1033130120204 = 22713171491120517
BaseRepresentation
bin11110000100010110101…
…10101001010000001100
310122202200121120220120002
433002023112221100030
5113411322302321304
62110340255543432
7134432633061530
oct17021326512014
93582617526502
101033130120204
1136916a023626
1214828922ab78
1376567ca3570
143800a489bc0
151bd1a08831e
hexf08b5a940c

1033130120204 has 96 divisors (see below), whose sum is σ = 2371912502400. Its totient is φ = 382086991872.

The previous prime is 1033130120159. The next prime is 1033130120219. The reversal of 1033130120204 is 4020210313301.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 361754 + ... + 1482270.

It is an arithmetic number, because the mean of its divisors is an integer number (24707421900).

Almost surely, 21033130120204 is an apocalyptic number.

1033130120204 is a gapful number since it is divisible by the number (14) 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 1033130120204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1185956251200).

1033130120204 is an abundant number, since it is smaller than the sum of its proper divisors (1338782382196).

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

1033130120204 is a wasteful number, since it uses less digits than its factorization.

1033130120204 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1120707 (or 1120705 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 1033130120204 its reverse (4020210313301), we get a palindrome (5053340433505).

The spelling of 1033130120204 in words is "one trillion, thirty-three billion, one hundred thirty million, one hundred twenty thousand, two hundred four".

Divisors: 1 2 4 7 13 14 17 26 28 34 52 68 91 119 149 182 221 238 298 364 442 476 596 884 1043 1547 1937 2086 2533 3094 3874 4172 5066 6188 7748 10132 13559 17731 27118 32929 35462 54236 65858 70924 131716 230503 461006 922012 1120517 2241034 4482068 7843619 14566721 15687238 19048789 29133442 31374476 38097578 58266884 76195156 101967047 133341523 166957033 203934094 247634257 266683046 333914066 407868188 495268514 533366092 667828132 990537028 1168699231 1733439799 2170441429 2337398462 2838269561 3466879598 4340882858 4674796924 5676539122 6933759196 8681765716 11353078244 15193090003 19867886927 30386180006 36897504293 39735773854 60772360012 73795008586 79471547708 147590017172 258282530051 516565060102 1033130120204