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11100312320 = 28517215039
BaseRepresentation
bin10100101011010000…
…10101001100000000
31001122121012021212112
422111220111030000
5140213134443240
65033250114452
7542035045406
oct122550251400
931577167775
1011100312320
114786922a39
12219957ba28
13107b94a356
14774343476
1544e7a6665
hex295a15300

11100312320 has 72 divisors (see below), whose sum is σ = 26609446080. Its totient is φ = 4436664320.

The previous prime is 11100312319. The next prime is 11100312331. The reversal of 11100312320 is 2321300111.

It is a junction number, because it is equal to n+sod(n) for n = 11100312295 and 11100312304.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2200361 + ... + 2205399.

It is an arithmetic number, because the mean of its divisors is an integer number (369575640).

Almost surely, 211100312320 is an apocalyptic number.

11100312320 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 11100312320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13304723040).

11100312320 is an abundant number, since it is smaller than the sum of its proper divisors (15509133760).

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

11100312320 is an equidigital number, since it uses as much as digits as its factorization.

11100312320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6781 (or 6767 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 11100312320 its reverse (2321300111), we get a palindrome (13421612431).

The spelling of 11100312320 in words is "eleven billion, one hundred million, three hundred twelve thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 640 1280 1721 3442 5039 6884 8605 10078 13768 17210 20156 25195 27536 34420 40312 50390 55072 68840 80624 100780 110144 137680 161248 201560 220288 275360 322496 403120 440576 550720 644992 806240 1101440 1289984 1612480 2202880 3224960 6449920 8672119 17344238 34688476 43360595 69376952 86721190 138753904 173442380 277507808 346884760 555015616 693769520 1110031232 1387539040 2220062464 2775078080 5550156160 11100312320