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11031103331130 = 23523591129240007
BaseRepresentation
bin1010000010000110000011…
…1111101101101100111010
31110001120012120001121110110
42200201200333231230322
52421213144423044010
635243341403525150
72215654011141111
oct240414077555472
943046176047413
1011031103331130
1135732a0282a53
1212a1a9a2297b6
136202c82650bc
142a1ca0348c78
15141e270c6120
hexa0860fedb3a

11031103331130 has 128 divisors (see below), whose sum is σ = 28118953267200. Its totient is φ = 2763578847744.

The previous prime is 11031103331089. The next prime is 11031103331159. The reversal of 11031103331130 is 3113330113011.

11031103331130 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 11031103331097 and 11031103331106.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 45841587 + ... + 46081593.

It is an arithmetic number, because the mean of its divisors is an integer number (219679322400).

Almost surely, 211031103331130 is an apocalyptic number.

11031103331130 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 11031103331130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14059476633600).

11031103331130 is an abundant number, since it is smaller than the sum of its proper divisors (17087849936070).

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

11031103331130 is a wasteful number, since it uses less digits than its factorization.

11031103331130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 241228.

The product of its (nonzero) digits is 243, while the sum is 21.

Adding to 11031103331130 its reverse (3113330113011), we get a palindrome (14144433444141).

The spelling of 11031103331130 in words is "eleven trillion, thirty-one billion, one hundred three million, three hundred thirty-one thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 15 23 30 46 59 69 115 118 138 177 230 295 345 354 590 690 885 1129 1357 1770 2258 2714 3387 4071 5645 6774 6785 8142 11290 13570 16935 20355 25967 33870 40710 51934 66611 77901 129835 133222 155802 199833 240007 259670 333055 389505 399666 480014 666110 720021 779010 999165 1200035 1440042 1532053 1998330 2400070 3064106 3600105 4596159 5520161 7200210 7660265 9192318 11040322 14160413 15320530 16560483 22980795 27600805 28320826 33120966 42481239 45961590 55201610 70802065 82802415 84962478 141604130 165604830 212406195 270967903 325689499 424812390 541935806 651378998 812903709 977068497 1354839515 1625807418 1628447495 1954136994 2709679030 3256894990 4064518545 4885342485 6232261769 8129037090 9770684970 12464523538 15987106277 18696785307 31161308845 31974212554 37393570614 47961318831 62322617690 79935531385 93483926535 95922637662 159871062770 186967853070 239806594155 367703444371 479613188310 735406888742 1103110333113 1838517221855 2206220666226 3677034443710 5515551665565 11031103331130