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11044124010 = 23657320753
BaseRepresentation
bin10100100100100011…
…11111010101101010
31001111200110122000000
422102101333111222
5140104243432020
65023521523430
7540453335163
oct122221772552
931450418000
1011044124010
114758135917
1221827a3576
13107010632a
1476aab876a
154498a8090
hex29247f56a

11044124010 has 112 divisors (see below), whose sum is σ = 30215250504. Its totient is φ = 2904615936.

The previous prime is 11044123963. The next prime is 11044124011. The reversal of 11044124010 is 1042144011.

It can be written as a sum of positive squares in 4 ways, for example, as 8235018009 + 2809106001 = 90747^2 + 53001^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (11044124011) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 521794 + ... + 542546.

Almost surely, 211044124010 is an apocalyptic number.

11044124010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11044124010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15107625252).

11044124010 is an abundant number, since it is smaller than the sum of its proper divisors (19171126494).

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

11044124010 is an equidigital number, since it uses as much as digits as its factorization.

11044124010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20851 (or 20836 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 11044124010 its reverse (1042144011), we get a palindrome (12086268021).

The spelling of 11044124010 in words is "eleven billion, forty-four million, one hundred twenty-four thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 73 81 90 135 146 162 219 243 270 365 405 438 486 657 729 730 810 1095 1215 1314 1458 1971 2190 2430 3285 3645 3942 5913 6570 7290 9855 11826 17739 19710 20753 29565 35478 41506 53217 59130 62259 88695 103765 106434 124518 177390 186777 207530 266085 311295 373554 532170 560331 622590 933885 1120662 1514969 1680993 1867770 2801655 3029938 3361986 4544907 5042979 5603310 7574845 8404965 9089814 10085958 13634721 15128937 15149690 16809930 22724535 25214895 27269442 30257874 40904163 45449070 50429790 68173605 75644685 81808326 122712489 136347210 151289370 204520815 245424978 368137467 409041630 613562445 736274934 1104412401 1227124890 1840687335 2208824802 3681374670 5522062005 11044124010