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11122203120 = 2435726924611
BaseRepresentation
bin10100101101110111…
…10101100111110000
31001201010101110101220
422112323311213300
5140234240444440
65035351225040
7542422111110
oct122673654760
931633343356
1011122203120
114798214906
1221a4978180
1310833432a2
14777201040
1545167c8d0
hex296ef59f0

11122203120 has 160 divisors (see below), whose sum is σ = 39552468480. Its totient is φ = 2532664320.

The previous prime is 11122203073. The next prime is 11122203133. The reversal of 11122203120 is 2130222111.

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 11122203120.

It is a congruent number.

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, 439615 + ... + 464225.

It is an arithmetic number, because the mean of its divisors is an integer number (247202928).

Almost surely, 211122203120 is an apocalyptic number.

11122203120 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 11122203120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19776234240).

11122203120 is an abundant number, since it is smaller than the sum of its proper divisors (28430265360).

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

11122203120 is a wasteful number, since it uses less digits than its factorization.

11122203120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24903 (or 24897 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 11122203120 its reverse (2130222111), we get a palindrome (13252425231).

The spelling of 11122203120 in words is "eleven billion, one hundred twenty-two million, two hundred three thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 56 60 70 80 84 105 112 120 140 168 210 240 269 280 336 420 538 560 807 840 1076 1345 1614 1680 1883 2152 2690 3228 3766 4035 4304 5380 5649 6456 7532 8070 9415 10760 11298 12912 15064 16140 18830 21520 22596 24611 28245 30128 32280 37660 45192 49222 56490 64560 73833 75320 90384 98444 112980 123055 147666 150640 172277 196888 225960 246110 295332 344554 369165 393776 451920 492220 516831 590664 689108 738330 861385 984440 1033662 1181328 1378216 1476660 1722770 1968880 2067324 2584155 2756432 2953320 3445540 4134648 5168310 5906640 6620359 6891080 8269296 10336620 13240718 13782160 19861077 20673240 26481436 33101795 39722154 41346480 46342513 52962872 66203590 79444308 92685026 99305385 105925744 132407180 139027539 158888616 185370052 198610770 231712565 264814360 278055078 317777232 370740104 397221540 463425130 529628720 556110156 695137695 741480208 794443080 926850260 1112220312 1390275390 1588886160 1853700520 2224440624 2780550780 3707401040 5561101560 11122203120