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11001003202320 = 2435113607668273
BaseRepresentation
bin1010000000010101111011…
…1000110101011100010000
31102221200111211100122011220
42200011132320311130100
52420220023304433240
635221442513405040
72213540054232405
oct240053670653420
942850454318156
1011001003202320
11356155456a73a
121298099869780
1361a50c2129b1
142a06468b82ac
151412647be5d0
hexa015ee35710

11001003202320 has 160 divisors (see below), whose sum is σ = 34461639171072. Its totient is φ = 2902845259776.

The previous prime is 11001003202289. The next prime is 11001003202337. The reversal of 11001003202320 is 2320230010011.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 11001003202320.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 16127704 + ... + 16795976.

Almost surely, 211001003202320 is an apocalyptic number.

11001003202320 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 11001003202320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17230819585536).

11001003202320 is an abundant number, since it is smaller than the sum of its proper divisors (23460635968752).

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

11001003202320 is a wasteful number, since it uses less digits than its factorization.

11001003202320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 669009 (or 669003 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 11001003202320 its reverse (2320230010011), we get a palindrome (13321233212331).

The spelling of 11001003202320 in words is "eleven trillion, one billion, three million, two hundred two thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 113 120 226 240 339 452 565 607 678 904 1130 1214 1356 1695 1808 1821 2260 2428 2712 3035 3390 3642 4520 4856 5424 6070 6780 7284 9040 9105 9712 12140 13560 14568 18210 24280 27120 29136 36420 48560 68591 72840 137182 145680 205773 274364 342955 411546 548728 668273 685910 823092 1028865 1097456 1336546 1371820 1646184 2004819 2057730 2673092 2743640 3292368 3341365 4009638 4115460 5346184 5487280 6682730 8019276 8230920 10024095 10692368 13365460 16038552 16461840 20048190 26730920 32077104 40096380 53461840 75514849 80192760 151029698 160385520 226544547 302059396 377574245 405641711 453089094 604118792 755148490 811283422 906178188 1132722735 1208237584 1216925133 1510296980 1622566844 1812356376 2028208555 2265445470 2433850266 3020593960 3245133688 3624712752 4056417110 4530890940 4867700532 6041187920 6084625665 6490267376 8112834220 9061781880 9735401064 12169251330 16225668440 18123563760 19470802128 24338502660 32451336880 45837513343 48677005320 91675026686 97354010640 137512540029 183350053372 229187566715 275025080058 366700106744 458375133430 550050160116 687562700145 733400213488 916750266860 1100100320232 1375125400290 1833500533720 2200200640464 2750250800580 3667001067440 5500501601160 11001003202320