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11233431330 = 23511414611801
BaseRepresentation
bin10100111011001000…
…01000111100100010
31001222212200102211020
422131210020330202
5141001224300310
65054403230310
7545242406442
oct123544107442
931885612736
1011233431330
114844a85250
122216078396
1310a03b86b4
14787cb6122
1545b2ee170
hex29d908f22

11233431330 has 128 divisors (see below), whose sum is σ = 30210630912. Its totient is φ = 2649600000.

The previous prime is 11233431269. The next prime is 11233431331. The reversal of 11233431330 is 3313433211.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 11233431330.

It is not an unprimeable number, because it can be changed into a prime (11233431331) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6236430 + ... + 6238230.

It is an arithmetic number, because the mean of its divisors is an integer number (236020554).

Almost surely, 211233431330 is an apocalyptic number.

11233431330 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 11233431330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15105315456).

11233431330 is an abundant number, since it is smaller than the sum of its proper divisors (18977199582).

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

11233431330 is a wasteful number, since it uses less digits than its factorization.

11233431330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2324.

The product of its (nonzero) digits is 1944, while the sum is 24.

Adding to 11233431330 its reverse (3313433211), we get a palindrome (14546864541).

The spelling of 11233431330 in words is "eleven billion, two hundred thirty-three million, four hundred thirty-one thousand, three hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 41 55 66 82 110 123 165 205 246 330 410 451 461 615 902 922 1230 1353 1383 1801 2255 2305 2706 2766 3602 4510 4610 5071 5403 6765 6915 9005 10142 10806 13530 13830 15213 18010 18901 19811 25355 27015 30426 37802 39622 50710 54030 56703 59433 73841 76065 94505 99055 113406 118866 147682 152130 189010 198110 207911 221523 283515 297165 369205 415822 443046 567030 594330 623733 738410 812251 830261 1039555 1107615 1247466 1624502 1660522 2079110 2215230 2436753 2490783 3118665 4061255 4151305 4873506 4981566 6237330 8122510 8302610 9132871 12183765 12453915 18265742 24367530 24907830 27398613 34040701 45664355 54797226 68081402 91328710 102122103 136993065 170203505 204244206 273986130 340407010 374447711 510610515 748895422 1021221030 1123343133 1872238555 2246686266 3744477110 5616715665 11233431330