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11011203110320 = 2457411063451159
BaseRepresentation
bin1010000000111011111011…
…0110011001010110110000
31102222122211200021122112021
42200032332312121112300
52420401420444012240
635230251001041224
72214350610066460
oct240167666312660
942878750248467
1011011203110320
113565909104576
12129a065786214
1361b47645460a
142a0d333d7ba0
1514165eeb954a
hexa03bed995b0

11011203110320 has 160 divisors (see below), whose sum is σ = 30000219863040. Its totient is φ = 3679716833280.

The previous prime is 11011203110309. The next prime is 11011203110381. The reversal of 11011203110320 is 2301130211011.

It is a happy number.

11011203110320 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 (16).

It is a junction number, because it is equal to n+sod(n) for n = 11011203110294 and 11011203110303.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24180901 + ... + 24632059.

It is an arithmetic number, because the mean of its divisors is an integer number (187501374144).

Almost surely, 211011203110320 is an apocalyptic number.

11011203110320 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 11011203110320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15000109931520).

11011203110320 is an abundant number, since it is smaller than the sum of its proper divisors (18989016752720).

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

11011203110320 is a wasteful number, since it uses less digits than its factorization.

11011203110320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 452283 (or 452277 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 16.

Adding to 11011203110320 its reverse (2301130211011), we get a palindrome (13312333321331).

The spelling of 11011203110320 in words is "eleven trillion, eleven billion, two hundred three million, one hundred ten thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 41 56 70 80 82 112 140 164 205 280 287 328 410 560 574 656 820 1063 1148 1435 1640 2126 2296 2870 3280 4252 4592 5315 5740 7441 8504 10630 11480 14882 17008 21260 22960 29764 37205 42520 43583 59528 74410 85040 87166 119056 148820 174332 217915 297640 305081 348664 435830 451159 595280 610162 697328 871660 902318 1220324 1525405 1743320 1804636 2255795 2440648 3050810 3158113 3486640 3609272 4511590 4881296 6101620 6316226 7218544 9023180 12203240 12632452 15790565 18046360 18497519 24406480 25264904 31581130 36092720 36995038 50529808 63162260 73990076 92487595 126324520 129482633 147980152 184975190 252649040 258965266 295960304 369950380 479582017 517930532 647413165 739900760 959164034 1035861064 1294826330 1479801520 1918328068 2071722128 2397910085 2589652660 3357074119 3836656136 4795820170 5179305320 6714148238 7673312272 9591640340 10358610640 13428296476 16785370595 19183280680 19662862697 26856592952 33570741190 38366561360 39325725394 53713185904 67141482380 78651450788 98314313485 134282964760 137640038879 157302901576 196628626970 268565929520 275280077758 314605803152 393257253940 550560155516 688200194395 786514507880 1101120311032 1376400388790 1573029015760 2202240622064 2752800777580 5505601555160 11011203110320