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11140300220 = 22571371813209
BaseRepresentation
bin10100110000000001…
…10111110110111100
31001202101102212221212
422120000313312330
5140303404101340
65041235143552
7543031663250
oct123000676674
931671385855
1011140300220
1147a7455495
1221aaa44bb8
13108700b52a
14779792260
15453054a65
hex298037dbc

11140300220 has 96 divisors (see below), whose sum is σ = 27089112960. Its totient is φ = 3769528320.

The previous prime is 11140300181. The next prime is 11140300231. The reversal of 11140300220 is 2200304111.

11140300220 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 (14).

It is a junction number, because it is equal to n+sod(n) for n = 11140300195 and 11140300204.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3469976 + ... + 3473184.

It is an arithmetic number, because the mean of its divisors is an integer number (282178260).

Almost surely, 211140300220 is an apocalyptic number.

11140300220 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 11140300220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13544556480).

11140300220 is an abundant number, since it is smaller than the sum of its proper divisors (15948812740).

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

11140300220 is a wasteful number, since it uses less digits than its factorization.

11140300220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3543 (or 3541 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 11140300220 its reverse (2200304111), we get a palindrome (13340604331).

The spelling of 11140300220 in words is "eleven billion, one hundred forty million, three hundred thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 137 140 181 274 362 548 685 724 905 959 1267 1370 1810 1918 2534 2740 3209 3620 3836 4795 5068 6335 6418 9590 12670 12836 16045 19180 22463 24797 25340 32090 44926 49594 64180 89852 99188 112315 123985 173579 224630 247970 347158 439633 449260 495940 580829 694316 867895 879266 1161658 1735790 1758532 2198165 2323316 2904145 3077431 3471580 4065803 4396330 5808290 6154862 8131606 8792660 11616580 12309724 15387155 16263212 20329015 30774310 40658030 61548620 79573573 81316060 159147146 318294292 397867865 557015011 795735730 1114030022 1591471460 2228060044 2785075055 5570150110 11140300220