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1003034003334 = 2311233413193601
BaseRepresentation
bin11101001100010010111…
…11000100011110000110
310112220000011102202121220
432212021133010132012
5112413203201101314
62044442031421210
7132316055232546
oct16461137043606
93486004382556
101003034003334
11357425600570
1214248a084806
137377ca2729c
1436793381326
151b157cc53a9
hexe9897c4786

1003034003334 has 64 divisors (see below), whose sum is σ = 2284268179968. Its totient is φ = 290647808000.

The previous prime is 1003034003299. The next prime is 1003034003339. The reversal of 1003034003334 is 4333004303001.

1003034003334 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1003034003339) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5084134 + ... + 5277734.

It is an arithmetic number, because the mean of its divisors is an integer number (35691690312).

Almost surely, 21003034003334 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1003034003334, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1142134089984).

1003034003334 is an abundant number, since it is smaller than the sum of its proper divisors (1281234176634).

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

1003034003334 is a wasteful number, since it uses less digits than its factorization.

1003034003334 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197053.

The product of its (nonzero) digits is 3888, while the sum is 24.

Adding to 1003034003334 its reverse (4333004303001), we get a palindrome (5336038306335).

The spelling of 1003034003334 in words is "one trillion, three billion, thirty-four million, three thousand, three hundred thirty-four".

Divisors: 1 2 3 6 11 22 23 33 46 66 69 138 253 506 759 1518 3413 6826 10239 20478 37543 75086 78499 112629 156998 193601 225258 235497 387202 470994 580803 863489 1161606 1726978 2129611 2590467 4259222 4452823 5180934 6388833 8905646 12777666 13358469 26716938 48981053 97962106 146943159 293886318 660760213 1321520426 1982280639 3964561278 7268362343 14536724686 15197484899 21805087029 30394969798 43610174058 45592454697 91184909394 167172333889 334344667778 501517001667 1003034003334