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211131232002 = 23211729512889
BaseRepresentation
bin1100010010100001100…
…1101110111100000010
3202011222002122212012100
43010220121232330002
511424344043411002
6240554203011230
721153012601305
oct3045031567402
9664862585170
10211131232002
11815a4092599
1234b03509b16
1316ba94a3ca2
14a30c592b3c
15575a7d711c
hex312866ef02

211131232002 has 12 divisors (see below), whose sum is σ = 457451002710. Its totient is φ = 70377077328.

The previous prime is 211131231979. The next prime is 211131232043. The reversal of 211131232002 is 200232131112.

211131232002 is a `hidden beast` number, since 21 + 11 + 312 + 320 + 0 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 177098730561 + 34032501441 = 420831^2 + 184479^2 .

It is a Harshad number since it is a multiple of its sum of digits (18), and also a Moran number because the ratio is a prime number: 11729512889 = 211131232002 / (2 + 1 + 1 + 1 + 3 + 1 + 2 + 3 + 2 + 0 + 0 + 2).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5864756427 + ... + 5864756462.

Almost surely, 2211131232002 is an apocalyptic number.

211131232002 is an abundant number, since it is smaller than the sum of its proper divisors (246319770708).

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

211131232002 is a wasteful number, since it uses less digits than its factorization.

211131232002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11729512897 (or 11729512894 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 211131232002 its reverse (200232131112), we get a palindrome (411363363114).

The spelling of 211131232002 in words is "two hundred eleven billion, one hundred thirty-one million, two hundred thirty-two thousand, two".

Divisors: 1 2 3 6 9 18 11729512889 23459025778 35188538667 70377077334 105565616001 211131232002