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1011201113331 = 3223125917472221
BaseRepresentation
bin11101011011100000100…
…10000111110011110011
310120200002100021221100100
432231300102013303303
5113031414441111311
62052312301123443
7133025335434063
oct16556022076363
93520070257310
101011201113331
1135a936737152
12143b89259583
1374481a7a156
1436d29d093a3
151b484ccea56
hexeb70487cf3

1011201113331 has 48 divisors (see below), whose sum is σ = 1526900094720. Its totient is φ = 643652982720.

The previous prime is 1011201113257. The next prime is 1011201113333. The reversal of 1011201113331 is 1333111021101.

1011201113331 is a `hidden beast` number, since 10 + 11 + 201 + 113 + 331 = 666.

It is not a de Polignac number, because 1011201113331 - 213 = 1011201105139 is a prime.

It is a super-2 number, since 2×10112011133312 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1011201113333) 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, 455289801 + ... + 455292021.

It is an arithmetic number, because the mean of its divisors is an integer number (31810418640).

Almost surely, 21011201113331 is an apocalyptic number.

1011201113331 is a deficient number, since it is larger than the sum of its proper divisors (515698981389).

1011201113331 is a wasteful number, since it uses less digits than its factorization.

1011201113331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5256 (or 5253 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 18.

Adding to 1011201113331 its reverse (1333111021101), we get a palindrome (2344312134432).

The spelling of 1011201113331 in words is "one trillion, eleven billion, two hundred one million, one hundred thirteen thousand, three hundred thirty-one".

Divisors: 1 3 9 23 69 207 1259 1747 2221 3777 5241 6663 11331 15723 19989 28957 40181 51083 86871 120543 153249 260613 361629 459747 2199473 2796239 3880087 6598419 8388717 11640261 19795257 25166151 34920783 50587879 64313497 89242001 151763637 192940491 267726003 455290911 578821473 803178009 4885029533 14655088599 43965265797 112355679259 337067037777 1011201113331