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211311332101 = 3131465746061
BaseRepresentation
bin1100010011001100100…
…0110000101100000101
3202012102122112220002101
43010303020300230011
511430231200111401
6241024115112101
721160330454422
oct3046310605405
9665378486071
10211311332101
1181686813451
1234b538a2631
1316c078b15ac
14a328474d49
15576b510101
hex3133230b05

211311332101 has 8 divisors (see below), whose sum is σ = 212005513944. Its totient is φ = 210617272320.

The previous prime is 211311332041. The next prime is 211311332147. The reversal of 211311332101 is 101233113112.

It can be written as a sum of positive squares in 4 ways, for example, as 3872075076 + 207439257025 = 62226^2 + 455455^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 211311332101 - 223 = 211302943493 is a prime.

It is a super-2 number, since 2×2113113321012 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211311332801) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4564611 + ... + 4610671.

It is an arithmetic number, because the mean of its divisors is an integer number (26500689243).

Almost surely, 2211311332101 is an apocalyptic number.

It is an amenable number.

211311332101 is a deficient number, since it is larger than the sum of its proper divisors (694181843).

211311332101 is a wasteful number, since it uses less digits than its factorization.

211311332101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61031.

The product of its (nonzero) digits is 108, while the sum is 19.

Adding to 211311332101 its reverse (101233113112), we get a palindrome (312544445213).

The spelling of 211311332101 in words is "two hundred eleven billion, three hundred eleven million, three hundred thirty-two thousand, one hundred one".

Divisors: 1 313 14657 46061 4587641 14417093 675116077 211311332101