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11021213232 = 24322310930529
BaseRepresentation
bin10100100001110101…
…00101111000110000
31001110002100122022200
422100322211320300
5140032412310412
65021342503200
7540054524001
oct122072457060
931402318280
1011021213232
114746207697
122176b94b00
131068444063
14767a331a8
1544787e9dc
hex290ea5e30

11021213232 has 120 divisors (see below), whose sum is σ = 32481477600. Its totient is φ = 3481657344.

The previous prime is 11021213213. The next prime is 11021213243. The reversal of 11021213232 is 23231212011.

It is a super-2 number, since 2×110212132322 (a number of 21 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 345744 + ... + 376272.

It is an arithmetic number, because the mean of its divisors is an integer number (270678980).

Almost surely, 211021213232 is an apocalyptic number.

11021213232 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 11021213232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16240738800).

11021213232 is an abundant number, since it is smaller than the sum of its proper divisors (21460264368).

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

11021213232 is a wasteful number, since it uses less digits than its factorization.

11021213232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30675 (or 30666 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 11021213232 its reverse (23231212011), we get a palindrome (34252425243).

The spelling of 11021213232 in words is "eleven billion, twenty-one million, two hundred thirteen thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 36 46 48 69 72 92 109 138 144 184 207 218 276 327 368 414 436 552 654 828 872 981 1104 1308 1656 1744 1962 2507 2616 3312 3924 5014 5232 7521 7848 10028 15042 15696 20056 22563 30084 30529 40112 45126 60168 61058 90252 91587 120336 122116 180504 183174 244232 274761 361008 366348 488464 549522 702167 732696 1099044 1404334 1465392 2106501 2198088 2808668 3327661 4213002 4396176 5617336 6319503 6655322 8426004 9982983 11234672 12639006 13310644 16852008 19965966 25278012 26621288 29948949 33704016 39931932 50556024 53242576 59897898 76536203 79863864 101112048 119795796 153072406 159727728 229608609 239591592 306144812 459217218 479183184 612289624 688825827 918434436 1224579248 1377651654 1836868872 2755303308 3673737744 5510606616 11021213232