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211131300131 = 1731400628653
BaseRepresentation
bin1100010010100001100…
…1111111100100100011
3202011222002210022122122
43010220121333210203
511424344103101011
6240554204254455
721153013304033
oct3045031774443
9664862708578
10211131300131
11815a41297a4
1234b0354142b
1316ba94c8cbb
14a30c5ad8c3
15575a7ec3db
hex312867f923

211131300131 has 8 divisors (see below), whose sum is σ = 230762104704. Its totient is φ = 192301752960.

The previous prime is 211131300071. The next prime is 211131300139. The reversal of 211131300131 is 131003131112.

211131300131 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-211131300131 is a prime.

It is a super-2 number, since 2×2111313001312 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (211131300139) 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 7 ways as a sum of consecutive naturals, for example, 200313800 + ... + 200314853.

It is an arithmetic number, because the mean of its divisors is an integer number (28845263088).

Almost surely, 2211131300131 is an apocalyptic number.

211131300131 is a deficient number, since it is larger than the sum of its proper divisors (19630804573).

211131300131 is a wasteful number, since it uses less digits than its factorization.

211131300131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 400628701.

The product of its (nonzero) digits is 54, while the sum is 17.

Adding to 211131300131 its reverse (131003131112), we get a palindrome (342134431243).

The spelling of 211131300131 in words is "two hundred eleven billion, one hundred thirty-one million, three hundred thousand, one hundred thirty-one".

Divisors: 1 17 31 527 400628653 6810687101 12419488243 211131300131