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11030331120 = 243561774489
BaseRepresentation
bin10100100010111010…
…10111111011110000
31001110201111212201020
422101131113323300
5140042231043440
65022310135440
7540225160524
oct122135277360
931421455636
1011030331120
114750375036
12217a051580
13106a2b7263
14768d27d84
154485813d0
hex291757ef0

11030331120 has 80 divisors (see below), whose sum is σ = 34249906080. Its totient is φ = 2936614912.

The previous prime is 11030331113. The next prime is 11030331139. The reversal of 11030331120 is 2113303011.

It is a tau number, because it is divible by the number of its divisors (80).

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 11030331120.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 110836 + ... + 185324.

It is an arithmetic number, because the mean of its divisors is an integer number (428123826).

Almost surely, 211030331120 is an apocalyptic number.

11030331120 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 11030331120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17124953040).

11030331120 is an abundant number, since it is smaller than the sum of its proper divisors (23219574960).

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

11030331120 is a wasteful number, since it uses less digits than its factorization.

11030331120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75122 (or 75116 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 15.

Adding to 11030331120 its reverse (2113303011), we get a palindrome (13143634131).

The spelling of 11030331120 in words is "eleven billion, thirty million, three hundred thirty-one thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 617 1234 1851 2468 3085 3702 4936 6170 7404 9255 9872 12340 14808 18510 24680 29616 37020 49360 74040 74489 148080 148978 223467 297956 372445 446934 595912 744890 893868 1117335 1191824 1489780 1787736 2234670 2979560 3575472 4469340 5959120 8938680 17877360 45959713 91919426 137879139 183838852 229798565 275758278 367677704 459597130 551516556 689395695 735355408 919194260 1103033112 1378791390 1838388520 2206066224 2757582780 3676777040 5515165560 11030331120