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2001163146112 = 2713329245383
BaseRepresentation
bin11101000111101110100…
…111100101001110000000
321002022100111111210110201
4131013232213211032000
5230241340231133422
64131153251134544
7264402455040424
oct35075647451600
97068314453421
102001163146112
11701763475769
12283a095a4454
1311692a524000
146cbdd148b84
15370c5188727
hex1d1ee9e5380

2001163146112 has 128 divisors (see below), whose sum is σ = 4467706488000. Its totient is φ = 891761375232.

The previous prime is 2001163146097. The next prime is 2001163146119. The reversal of 2001163146112 is 2116413611002.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2001163146119) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8032573 + ... + 8277955.

Almost surely, 22001163146112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2001163146112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2233853244000).

2001163146112 is an abundant number, since it is smaller than the sum of its proper divisors (2466543341888).

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

2001163146112 is an equidigital number, since it uses as much as digits as its factorization.

2001163146112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 245465 (or 245427 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 28.

Adding to 2001163146112 its reverse (2116413611002), we get a palindrome (4117576757114).

The spelling of 2001163146112 in words is "two trillion, one billion, one hundred sixty-three million, one hundred forty-six thousand, one hundred twelve".

Divisors: 1 2 4 8 13 16 26 29 32 52 58 64 104 116 128 169 208 232 338 377 416 464 676 754 832 928 1352 1508 1664 1856 2197 2704 3016 3712 4394 4901 5408 6032 8788 9802 10816 12064 17576 19604 21632 24128 35152 39208 48256 63713 70304 78416 127426 140608 156832 245383 254852 281216 313664 490766 509704 627328 981532 1019408 1963064 2038816 3189979 3926128 4077632 6379958 7116107 7852256 8155264 12759916 14232214 15704512 25519832 28464428 31409024 41469727 51039664 56928856 82939454 92509391 102079328 113857712 165878908 185018782 204158656 227715424 331757816 370037564 408317312 455430848 539106451 663515632 740075128 910861696 1078212902 1202622083 1327031264 1480150256 2156425804 2405244166 2654062528 2960300512 4312851608 4810488332 5308125056 5920601024 8625703216 9620976664 11841202048 15634087079 17251406432 19241953328 31268174158 34502812864 38483906656 62536348316 69005625728 76967813312 125072696632 153935626624 250145393264 500290786528 1000581573056 2001163146112