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2001066230142 = 2327291697322709
BaseRepresentation
bin11101000111101000110…
…101111000000101111110
321002022002202010221202100
4131013220311320011332
5230241140423331032
64131135510005530
7264400200211530
oct35075065700576
97068082127670
102001066230142
117017137a0321
122839a10468a6
13116913420195
146cbd031b850
15370bb8e297c
hex1d1e8d7817e

2001066230142 has 96 divisors (see below), whose sum is σ = 5128920388800. Its totient is φ = 551691270144.

The previous prime is 2001066230101. The next prime is 2001066230153. The reversal of 2001066230142 is 2410326601002.

2001066230142 is a `hidden beast` number, since 20 + 0 + 1 + 0 + 6 + 623 + 0 + 14 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6039484 + ... + 6362192.

It is an arithmetic number, because the mean of its divisors is an integer number (53426254050).

Almost surely, 22001066230142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2001066230142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2564460194400).

2001066230142 is an abundant number, since it is smaller than the sum of its proper divisors (3127854158658).

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

2001066230142 is a wasteful number, since it uses less digits than its factorization.

2001066230142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 324450 (or 324447 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The spelling of 2001066230142 in words is "two trillion, one billion, sixty-six million, two hundred thirty thousand, one hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 29 42 58 63 87 126 174 203 261 406 522 609 1218 1697 1827 3394 3654 5091 10182 11879 15273 23758 30546 35637 49213 71274 98426 106911 147639 213822 295278 322709 344491 442917 645418 688982 885834 968127 1033473 1936254 2066946 2258963 2904381 3100419 4517926 5808762 6200838 6776889 9358561 13553778 18717122 20330667 28075683 40661334 56151366 65509927 84227049 131019854 168454098 196529781 393059562 547637173 589589343 1095274346 1179178686 1642911519 3285823038 3833460211 4928734557 7666920422 9857469114 11500380633 15881478017 23000761266 31762956034 34501141899 47644434051 69002283798 95288868102 111170346119 142933302153 222340692238 285866604306 333511038357 667022076714 1000533115071 2001066230142