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211132131003 = 3231774003551
BaseRepresentation
bin1100010010100001110…
…1001010011010111011
3202011222011100112101200
43010220131022122323
511424344311143003
6240554234145243
721153023334303
oct3045035123273
9664864315350
10211132131003
11815a4646a72
1234b03882223
1316ba972a241
14a30c748603
15575a9136a3
hex312874a6bb

211132131003 has 12 divisors (see below), whose sum is σ = 305930683968. Its totient is φ = 140310730800.

The previous prime is 211132130981. The next prime is 211132131031. The reversal of 211132131003 is 300131231112.

211132131003 is a `hidden beast` number, since 21 + 11 + 321 + 310 + 0 + 3 = 666.

211132131003 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 211132131003 - 210 = 211132129979 is a prime.

It is a super-4 number, since 4×2111321310034 (a number of 46 digits) contains 4444 as substring.

It is not an unprimeable number, because it can be changed into a prime (211132131043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 36998923 + ... + 37004628.

It is an arithmetic number, because the mean of its divisors is an integer number (25494223664).

Almost surely, 2211132131003 is an apocalyptic number.

211132131003 is a deficient number, since it is larger than the sum of its proper divisors (94798552965).

211132131003 is a wasteful number, since it uses less digits than its factorization.

211132131003 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74003874 (or 74003871 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 211132131003 its reverse (300131231112), we get a palindrome (511263362115).

The spelling of 211132131003 in words is "two hundred eleven billion, one hundred thirty-two million, one hundred thirty-one thousand, three".

Divisors: 1 3 9 317 951 2853 74003551 222010653 666031959 23459125667 70377377001 211132131003