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11231352 = 23331129163
BaseRepresentation
bin101010110110…
…000001111000
3210010121112000
4222312001320
510333400402
61040421000
7164315316
oct52660170
923117460
1011231352
116381310
123917760
132433192
1416c50b6
15ebcc1c
hexab6078

11231352 has 128 divisors (see below), whose sum is σ = 35424000. Its totient is φ = 3265920.

The previous prime is 11231329. The next prime is 11231357. The reversal of 11231352 is 25313211.

It is a super-2 number, since 2×112313522 = 252286535495808, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11231357) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 68823 + ... + 68985.

It is an arithmetic number, because the mean of its divisors is an integer number (276750).

Almost surely, 211231352 is an apocalyptic number.

11231352 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 11231352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17712000).

11231352 is an abundant number, since it is smaller than the sum of its proper divisors (24192648).

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

11231352 is a wasteful number, since it uses less digits than its factorization.

11231352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218 (or 208 counting only the distinct ones).

The product of its digits is 180, while the sum is 18.

The square root of 11231352 is about 3351.3209336022. The cubic root of 11231352 is about 223.9463625826.

Adding to 11231352 its reverse (25313211), we get a palindrome (36544563).

The spelling of 11231352 in words is "eleven million, two hundred thirty-one thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 27 29 33 36 44 54 58 66 72 87 88 99 108 116 132 163 174 198 216 232 261 264 297 319 326 348 396 489 522 594 638 652 696 783 792 957 978 1044 1188 1276 1304 1467 1566 1793 1914 1956 2088 2376 2552 2871 2934 3132 3586 3828 3912 4401 4727 5379 5742 5868 6264 7172 7656 8613 8802 9454 10758 11484 11736 14181 14344 16137 17226 17604 18908 21516 22968 28362 32274 34452 35208 37816 42543 43032 48411 51997 56724 64548 68904 85086 96822 103994 113448 127629 129096 155991 170172 193644 207988 255258 311982 340344 387288 415976 467973 510516 623964 935946 1021032 1247928 1403919 1871892 2807838 3743784 5615676 11231352