Search a number
-
+
11040030012 = 22311435233719
BaseRepresentation
bin10100100100000100…
…10111110100111100
31001111101202122002110
422102002113310330
5140102221430022
65023254054020
7540403464264
oct122202276474
931441678073
1011040030012
114755899a50
12218134a310
13106c301a4b
1476a3307a4
1544934a00c
hex292097d3c

11040030012 has 96 divisors (see below), whose sum is σ = 28818155520. Its totient is φ = 3260537280.

The previous prime is 11040029983. The next prime is 11040030013. The reversal of 11040030012 is 21003004011.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a self number, because there is not a number n which added to its sum of digits gives 11040030012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11040030013) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2966689 + ... + 2970407.

It is an arithmetic number, because the mean of its divisors is an integer number (300189120).

Almost surely, 211040030012 is an apocalyptic number.

11040030012 is a gapful number since it is divisible by the number (12) 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 11040030012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14409077760).

11040030012 is an abundant number, since it is smaller than the sum of its proper divisors (17778125508).

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

11040030012 is a wasteful number, since it uses less digits than its factorization.

11040030012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4303 (or 4301 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 11040030012 its reverse (21003004011), we get a palindrome (32043034023).

The spelling of 11040030012 in words is "eleven billion, forty million, thirty thousand, twelve".

Divisors: 1 2 3 4 6 11 12 22 33 43 44 66 86 129 132 172 258 473 516 523 946 1046 1419 1569 1892 2092 2838 3138 3719 5676 5753 6276 7438 11157 11506 14876 17259 22314 22489 23012 34518 40909 44628 44978 67467 69036 81818 89956 122727 134934 159917 163636 245454 247379 269868 319834 479751 490908 494758 639668 742137 959502 989516 1484274 1759087 1919004 1945037 2968548 3518174 3890074 5277261 5835111 7036348 7780148 10554522 11670222 21109044 21395407 23340444 42790814 64186221 83636591 85581628 128372442 167273182 250909773 256744884 334546364 501819546 920002501 1003639092 1840005002 2760007503 3680010004 5520015006 11040030012