Search a number
-
+
11004410230020 = 2234513674969163
BaseRepresentation
bin1010000000100010100111…
…1101100111010100000100
31102222000022021021120120000
42200020221331213110010
52420244013004330040
635223204542041300
72214020354416644
oct240105175472404
942860267246500
1011004410230020
113562a42766009
12129888a879230
1361a93302950c
142a088b194524
151413b3964130
hexa0229f67504

11004410230020 has 120 divisors (see below), whose sum is σ = 34546502700864. Its totient is φ = 2932362126144.

The previous prime is 11004410230013. The next prime is 11004410230027. The reversal of 11004410230020 is 2003201440011.

11004410230020 is a `hidden beast` number, since 1 + 1 + 0 + 0 + 4 + 410 + 230 + 0 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (11004410230013) and next prime (11004410230027).

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 = 11004410229975 and 11004410230002.

It is not an unprimeable number, because it can be changed into a prime (11004410230027) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 270042 + ... + 4699121.

Almost surely, 211004410230020 is an apocalyptic number.

11004410230020 is a gapful number since it is divisible by the number (10) 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 11004410230020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17273251350432).

11004410230020 is an abundant number, since it is smaller than the sum of its proper divisors (23542092470844).

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

11004410230020 is a wasteful number, since it uses less digits than its factorization.

11004410230020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4970551 (or 4970540 counting only the distinct ones).

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

Adding to 11004410230020 its reverse (2003201440011), we get a palindrome (13007611670031).

The spelling of 11004410230020 in words is "eleven trillion, four billion, four hundred ten million, two hundred thirty thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 270 324 405 540 810 1367 1620 2734 4101 5468 6835 8202 12303 13670 16404 20505 24606 27340 36909 41010 49212 61515 73818 82020 110727 123030 147636 184545 221454 246060 369090 442908 553635 738180 1107270 2214540 4969163 9938326 14907489 19876652 24845815 29814978 44722467 49691630 59629956 74537445 89444934 99383260 134167401 149074890 178889868 223612335 268334802 298149780 402502203 447224670 536669604 670837005 805004406 894449340 1341674010 1610008812 2012511015 2683348020 4025022030 6792845821 8050044060 13585691642 20378537463 27171383284 33964229105 40757074926 61135612389 67928458210 81514149852 101892687315 122271224778 135856916420 183406837167 203785374630 244542449556 305678061945 366813674334 407570749260 550220511501 611356123890 733627348668 917034185835 1100441023002 1222712247780 1834068371670 2200882046004 2751102557505 3668136743340 5502205115010 11004410230020