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211012303104 = 2832751121951
BaseRepresentation
bin1100010010000101010…
…0000011100100000000
3202011122210212122102100
43010201110003210000
511424123122144404
6240534313550400
721150036660651
oct3044124034400
9664583778370
10211012303104
1181542a42549
1234a8b715400
1316b8a963765
14a2da875528
155750143d39
hex3121503900

211012303104 has 108 divisors (see below), whose sum is σ = 609215606272. Its totient is φ = 70243200000.

The previous prime is 211012303087. The next prime is 211012303147. The reversal of 211012303104 is 401303210112.

211012303104 is a `hidden beast` number, since 21 + 101 + 230 + 310 + 4 = 666.

It is a super-2 number, since 2×2110123031042 (a number of 23 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1669329 + ... + 1791279.

Almost surely, 2211012303104 is an apocalyptic number.

211012303104 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 211012303104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (304607803136).

211012303104 is an abundant number, since it is smaller than the sum of its proper divisors (398203303168).

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

211012303104 is a wasteful number, since it uses less digits than its factorization.

211012303104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122724 (or 122707 counting only the distinct ones).

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

Adding to 211012303104 its reverse (401303210112), we get a palindrome (612315513216).

The spelling of 211012303104 in words is "two hundred eleven billion, twelve million, three hundred three thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 576 751 768 1152 1502 2253 2304 3004 4506 6008 6759 9012 12016 13518 18024 24032 27036 36048 48064 54072 72096 96128 108144 121951 144192 192256 216288 243902 288384 365853 432576 487804 576768 731706 865152 975608 1097559 1463412 1730304 1951216 2195118 2926824 3902432 4390236 5853648 7804864 8780472 11707296 15609728 17560944 23414592 31219456 35121888 46829184 70243776 91585201 93658368 140487552 183170402 274755603 280975104 366340804 549511206 732681608 824266809 1099022412 1465363216 1648533618 2198044824 2930726432 3297067236 4396089648 5861452864 6594134472 8792179296 11722905728 13188268944 17584358592 23445811456 26376537888 35168717184 52753075776 70337434368 105506151552 211012303104