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211300102224 = 2433489120607
BaseRepresentation
bin1100010011001001110…
…1111011000001010000
3202012101212102100121000
43010302131323001100
511430220311232344
6241023034302000
721160133143311
oct3046235730120
9665355370530
10211300102224
1181680443262
1234b4bb87900
1316c0547bcb3
14a326b90608
15576a542a69
hex313277b050

211300102224 has 40 divisors (see below), whose sum is σ = 606509553920. Its totient is φ = 70433367264.

The previous prime is 211300102207. The next prime is 211300102249. The reversal of 211300102224 is 422201003112.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 211300102197 and 211300102206.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 244559872 + ... + 244560735.

It is an arithmetic number, because the mean of its divisors is an integer number (15162738848).

Almost surely, 2211300102224 is an apocalyptic number.

211300102224 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

211300102224 is an abundant number, since it is smaller than the sum of its proper divisors (395209451696).

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

211300102224 is a wasteful number, since it uses less digits than its factorization.

211300102224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 489120624 (or 489120612 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 211300102224 its reverse (422201003112), we get a palindrome (633501105336).

The spelling of 211300102224 in words is "two hundred eleven billion, three hundred million, one hundred two thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 489120607 978241214 1467361821 1956482428 2934723642 3912964856 4402085463 5869447284 7825929712 8804170926 11738894568 13206256389 17608341852 23477789136 26412512778 35216683704 52825025556 70433367408 105650051112 211300102224