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11233121232 = 2432979102149
BaseRepresentation
bin10100111011000101…
…11101001111010000
31001222212002200110010
422131202331033100
5141001134334412
65054352434520
7545236645404
oct123542751720
931885080403
1011233121232
114844893273
122215b48a40
1310a030a4c8
14787c35104
1545b28c33c
hex29d8bd3d0

11233121232 has 80 divisors (see below), whose sum is σ = 30399840000. Its totient is φ = 3569459712.

The previous prime is 11233121209. The next prime is 11233121279. The reversal of 11233121232 is 23212133211.

It is a super-2 number, since 2×112331212322 (a number of 21 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 11233121199 and 11233121208.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 58894 + ... + 161042.

It is an arithmetic number, because the mean of its divisors is an integer number (379998000).

Almost surely, 211233121232 is an apocalyptic number.

11233121232 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 11233121232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15199920000).

11233121232 is an abundant number, since it is smaller than the sum of its proper divisors (19166718768).

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

11233121232 is a wasteful number, since it uses less digits than its factorization.

11233121232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102268 (or 102262 counting only the distinct ones).

The product of its digits is 432, while the sum is 21.

Adding to 11233121232 its reverse (23212133211), we get a palindrome (34445254443).

The spelling of 11233121232 in words is "eleven billion, two hundred thirty-three million, one hundred twenty-one thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 29 48 58 79 87 116 158 174 232 237 316 348 464 474 632 696 948 1264 1392 1896 2291 3792 4582 6873 9164 13746 18328 27492 36656 54984 102149 109968 204298 306447 408596 612894 817192 1225788 1634384 2451576 2962321 4903152 5924642 8069771 8886963 11849284 16139542 17773926 23698568 24209313 32279084 35547852 47397136 48418626 64558168 71095704 96837252 129116336 142191408 193674504 234023359 387349008 468046718 702070077 936093436 1404140154 1872186872 2808280308 3744373744 5616560616 11233121232