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11201303040 = 29353739419
BaseRepresentation
bin10100110111010011…
…00101001000000000
31001220122020011002120
422123221211020000
5140420013144130
65051254444240
7544402335114
oct123351451000
931818204076
1011201303040
114828930844
122207363680
131096849a85
14783911744
154585a4910
hex29ba65200

11201303040 has 160 divisors (see below), whose sum is σ = 36777913920. Its totient is φ = 2906210304.

The previous prime is 11201303039. The next prime is 11201303051. The reversal of 11201303040 is 4030310211.

It is a tau number, because it is divible by the number of its divisors (160).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 264451 + ... + 303869.

It is an arithmetic number, because the mean of its divisors is an integer number (229861962).

Almost surely, 211201303040 is an apocalyptic number.

11201303040 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 11201303040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18388956960).

11201303040 is an abundant number, since it is smaller than the sum of its proper divisors (25576610880).

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

11201303040 is an equidigital number, since it uses as much as digits as its factorization.

11201303040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39482 (or 39466 counting only the distinct ones).

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

Adding to 11201303040 its reverse (4030310211), we get a palindrome (15231613251).

The spelling of 11201303040 in words is "eleven billion, two hundred one million, three hundred three thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 37 40 48 60 64 74 80 96 111 120 128 148 160 185 192 222 240 256 296 320 370 384 444 480 512 555 592 640 740 768 888 960 1110 1184 1280 1480 1536 1776 1920 2220 2368 2560 2960 3552 3840 4440 4736 5920 7104 7680 8880 9472 11840 14208 17760 18944 23680 28416 35520 39419 47360 56832 71040 78838 94720 118257 142080 157676 197095 236514 284160 315352 394190 473028 591285 630704 788380 946056 1182570 1261408 1458503 1576760 1892112 2365140 2522816 2917006 3153520 3784224 4375509 4730280 5045632 5834012 6307040 7292515 7568448 8751018 9460560 10091264 11668024 12614080 14585030 15136896 17502036 18921120 20182528 21877545 23336048 25228160 29170060 30273792 35004072 37842240 43755090 46672096 50456320 58340120 60547584 70008144 75684480 87510180 93344192 100912640 116680240 140016288 151368960 175020360 186688384 233360480 280032576 302737920 350040720 373376768 466720960 560065152 700081440 746753536 933441920 1120130304 1400162880 1866883840 2240260608 2800325760 3733767680 5600651520 11201303040