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11003320123020 = 22325233185735703
BaseRepresentation
bin1010000000011110100011…
…1111001011111010001100
31102221220111022001101212200
42200013220333023322030
52420234244422414040
635222504441201500
72213651346566301
oct240075077137214
942856438041780
1011003320123020
113562533398535
121298625790290
1361a7bb2307a4
142a07c64ad0a8
1514134cdd4630
hexa01e8fcbe8c

11003320123020 has 144 divisors (see below), whose sum is σ = 35951381286912. Its totient is φ = 2716107039360.

The previous prime is 11003320123009. The next prime is 11003320123057. The reversal of 11003320123020 is 2032102330011.

11003320123020 is a `hidden beast` number, since 1 + 100 + 332 + 0 + 1 + 230 + 2 + 0 = 666.

11003320123020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 = 11003320122984 and 11003320123002.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 42739512 + ... + 42996191.

It is an arithmetic number, because the mean of its divisors is an integer number (249662370048).

Almost surely, 211003320123020 is an apocalyptic number.

11003320123020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11003320123020 is an abundant number, since it is smaller than the sum of its proper divisors (24948061163892).

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

11003320123020 is a wasteful number, since it uses less digits than its factorization.

11003320123020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85735772 (or 85735767 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 11003320123020 its reverse (2032102330011), we get a palindrome (13035422453031).

The spelling of 11003320123020 in words is "eleven trillion, three billion, three hundred twenty million, one hundred twenty-three thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 23 30 31 36 45 46 60 62 69 90 92 93 115 124 138 155 180 186 207 230 276 279 310 345 372 414 460 465 558 620 690 713 828 930 1035 1116 1380 1395 1426 1860 2070 2139 2790 2852 3565 4140 4278 5580 6417 7130 8556 10695 12834 14260 21390 25668 32085 42780 64170 128340 85735703 171471406 257207109 342942812 428678515 514414218 771621327 857357030 1028828436 1286035545 1543242654 1714714060 1971921169 2572071090 2657806793 3086485308 3858106635 3943842338 5144142180 5315613586 5915763507 7716213270 7887684676 7973420379 9859605845 10631227172 11831527014 13289033965 15432426540 15946840758 17747290521 19719211690 23663054028 23920261137 26578067930 29578817535 31893681516 35494581042 39438423380 39867101895 47840522274 53156135860 59157635070 61129556239 70989162084 79734203790 88736452605 95681044548 118315270140 119601305685 122259112478 159468407580 177472905210 183388668717 239202611370 244518224956 305647781195 354945810420 366777337434 478405222740 550166006151 611295562390 733554674868 916943343585 1100332012302 1222591124780 1833886687170 2200664024604 2750830030755 3667773374340 5501660061510 11003320123020