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11022412032 = 28325039511
BaseRepresentation
bin10100100001111110…
…01010100100000000
31001110011121112202200
422100333022210000
5140033214141112
65021424313200
7540100646022
oct122077124400
931404545680
1011022412032
114746956335
122177472800
1310687738c8
14767c66012
15447a19cdc
hex290fca900

11022412032 has 108 divisors (see below), whose sum is σ = 31846860864. Its totient is φ = 3666447360.

The previous prime is 11022412007. The next prime is 11022412033. The reversal of 11022412032 is 23021422011.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 11022411996 and 11022412014.

It is not an unprimeable number, because it can be changed into a prime (11022412033) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1154157 + ... + 1163667.

Almost surely, 211022412032 is an apocalyptic number.

11022412032 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 11022412032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15923430432).

11022412032 is an abundant number, since it is smaller than the sum of its proper divisors (20824448832).

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

11022412032 is an equidigital number, since it uses as much as digits as its factorization.

11022412032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10036 (or 10019 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 11022412032 its reverse (23021422011), we get a palindrome (34043834043).

The spelling of 11022412032 in words is "eleven billion, twenty-two million, four hundred twelve thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 503 576 768 1006 1152 1509 2012 2304 3018 4024 4527 6036 8048 9054 9511 12072 16096 18108 19022 24144 28533 32192 36216 38044 48288 57066 64384 72432 76088 85599 96576 114132 128768 144864 152176 171198 193152 228264 289728 304352 342396 386304 456528 579456 608704 684792 913056 1158912 1217408 1369584 1826112 2434816 2739168 3652224 4784033 5478336 7304448 9568066 10956672 14352099 19136132 21913344 28704198 38272264 43056297 57408396 76544528 86112594 114816792 153089056 172225188 229633584 306178112 344450376 459267168 612356224 688900752 918534336 1224712448 1377801504 1837068672 2755603008 3674137344 5511206016 11022412032