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211213372653 = 32281683122279
BaseRepresentation
bin1100010010110101001…
…1000100110011101101
3202012011211020000222200
43010231103010303231
511430031110411103
6241010255332113
721155031021363
oct3045523046355
9665154200880
10211213372653
1181636496028
1234b26b21039
1316bc050381a
14a319455633
155762b100a3
hex312d4c4ced

211213372653 has 24 divisors (see below), whose sum is σ = 306622480320. Its totient is φ = 140101241280.

The previous prime is 211213372651. The next prime is 211213372723. The reversal of 211213372653 is 356273312112.

211213372653 is a `hidden beast` number, since 2 + 11 + 213 + 372 + 65 + 3 = 666.

211213372653 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 211213372653 - 21 = 211213372651 is a prime.

It is a super-2 number, since 2×2112133726532 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211213372651) 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 23 ways as a sum of consecutive naturals, for example, 1666168 + ... + 1788446.

It is an arithmetic number, because the mean of its divisors is an integer number (12775936680).

Almost surely, 2211213372653 is an apocalyptic number.

It is an amenable number.

211213372653 is a deficient number, since it is larger than the sum of its proper divisors (95409107667).

211213372653 is a wasteful number, since it uses less digits than its factorization.

211213372653 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123249 (or 123246 counting only the distinct ones).

The product of its digits is 45360, while the sum is 36.

Adding to 211213372653 its reverse (356273312112), we get a palindrome (567486684765).

The spelling of 211213372653 in words is "two hundred eleven billion, two hundred thirteen million, three hundred seventy-two thousand, six hundred fifty-three".

Divisors: 1 3 9 281 683 843 2049 2529 6147 122279 191923 366837 575769 1100511 1727307 34360399 83516557 103081197 250549671 309243591 751649013 23468152517 70404457551 211213372653