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11010120 = 23351119439
BaseRepresentation
bin101010000000…
…000001001000
3202201101001020
4222000001020
510304310440
61031552440
7162404322
oct52000110
922641036
1011010120
116240080
12382b720
132386584
141668612
15e773d0
hexa80048

11010120 has 128 divisors (see below), whose sum is σ = 38016000. Its totient is φ = 2522880.

The previous prime is 11010113. The next prime is 11010149. The reversal of 11010120 is 2101011.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a junction number, because it is equal to n+sod(n) for n = 11010099 and 11010108.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24861 + ... + 25299.

It is an arithmetic number, because the mean of its divisors is an integer number (297000).

Almost surely, 211010120 is an apocalyptic number.

11010120 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 11010120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19008000).

11010120 is an abundant number, since it is smaller than the sum of its proper divisors (27005880).

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

11010120 is a wasteful number, since it uses less digits than its factorization.

11010120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 483 (or 479 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 6.

The square root of 11010120 is about 3318.1500870214. The cubic root of 11010120 is about 222.4661902084.

Adding to 11010120 its reverse (2101011), we get a palindrome (13111131).

The spelling of 11010120 in words is "eleven million, ten thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 19 20 22 24 30 33 38 40 44 55 57 60 66 76 88 95 110 114 120 132 152 165 190 209 220 228 264 285 330 380 418 439 440 456 570 627 660 760 836 878 1045 1140 1254 1317 1320 1672 1756 2090 2195 2280 2508 2634 3135 3512 4180 4390 4829 5016 5268 6270 6585 8341 8360 8780 9658 10536 12540 13170 14487 16682 17560 19316 24145 25023 25080 26340 28974 33364 38632 41705 48290 50046 52680 57948 66728 72435 83410 91751 96580 100092 115896 125115 144870 166820 183502 193160 200184 250230 275253 289740 333640 367004 458755 500460 550506 579480 734008 917510 1000920 1101012 1376265 1835020 2202024 2752530 3670040 5505060 11010120