Search a number
-
+
2001001022112 = 253135929153343
BaseRepresentation
bin11101000111100100111…
…101001000001010100000
321002021221012110001011010
4131013210331020022200
5230241022230201422
64131125220220520
7264365446023621
oct35074475101240
97067835401133
102001001022112
1170168aa02594
1228398323a740
13116902a6b851
146cbc57c5a48
15370b5d11b0c
hex1d1e4f482a0

2001001022112 has 48 divisors (see below), whose sum is σ = 5252700579840. Its totient is φ = 666991084032.

The previous prime is 2001001022071. The next prime is 2001001022131. The reversal of 2001001022112 is 2112201001002.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12972513 + ... + 13125855.

It is an arithmetic number, because the mean of its divisors is an integer number (109431262080).

Almost surely, 22001001022112 is an apocalyptic number.

It is an amenable number.

2001001022112 is an abundant number, since it is smaller than the sum of its proper divisors (3251699557728).

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

2001001022112 is a wasteful number, since it uses less digits than its factorization.

2001001022112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 289285 (or 289277 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 2001001022112 its reverse (2112201001002), we get a palindrome (4113202023114).

The spelling of 2001001022112 in words is "two trillion, one billion, one million, twenty-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 135929 153343 271858 306686 407787 460029 543716 613372 815574 920058 1087432 1226744 1631148 1840116 2174864 2453488 3262296 3680232 4349728 4906976 6524592 7360464 13049184 14720928 20843760647 41687521294 62531281941 83375042588 125062563882 166750085176 250125127764 333500170352 500250255528 667000340704 1000500511056 2001001022112