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2001321211131 = 321137725375329
BaseRepresentation
bin11101000111111000000…
…010100011010011111011
321002022202111221022220200
4131013320002203103323
5230242201212224011
64131221055053243
7264406414420404
oct35077002432373
97068674838820
102001321211131
11701834716310
12283a52511223
131169541b7ac8
146cc161329ab
15370d3eac856
hex1d1f80a34fb

2001321211131 has 48 divisors (see below), whose sum is σ = 3239318964960. Its totient is φ = 1179961896960.

The previous prime is 2001321211103. The next prime is 2001321211187. The reversal of 2001321211131 is 1311121231002.

2001321211131 is a `hidden beast` number, since 2 + 0 + 0 + 1 + 321 + 211 + 131 = 666.

It is a de Polignac number, because none of the positive numbers 2k-2001321211131 is a prime.

It is a super-2 number, since 2×20013212111312 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2001321216131) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 26530075 + ... + 26605403.

It is an arithmetic number, because the mean of its divisors is an integer number (67485811770).

Almost surely, 22001321211131 is an apocalyptic number.

2001321211131 is a deficient number, since it is larger than the sum of its proper divisors (1237997753829).

2001321211131 is a wasteful number, since it uses less digits than its factorization.

2001321211131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82636 (or 82633 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 2001321211131 its reverse (1311121231002), we get a palindrome (3312442442133).

The spelling of 2001321211131 in words is "two trillion, one billion, three hundred twenty-one million, two hundred eleven thousand, one hundred thirty-one".

Divisors: 1 3 9 11 33 37 99 111 333 407 1221 3663 7253 21759 65277 75329 79783 225987 239349 268361 677961 718047 805083 828619 2415249 2485857 2787173 2951971 7457571 8361519 8855913 25084557 26567739 30658903 91976709 275930127 546361237 1639083711 4917251133 6009973607 18029920821 20215365769 54089762463 60646097307 181938291921 222369023459 667107070377 2001321211131