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11022301312 = 271169111329
BaseRepresentation
bin10100100001111101…
…01111100010000000
31001110011101220212221
422100332233202000
5140033202120222
65021422100424
7540100005151
oct122076574200
931404356787
1011022301312
114746890130
12217741a714
1310687353a9
14767c37928
154479e70c7
hex290faf880

11022301312 has 64 divisors (see below), whose sum is σ = 23991501600. Its totient is φ = 5002444800.

The previous prime is 11022301307. The next prime is 11022301319. The reversal of 11022301312 is 21310322011.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×110223013122 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (11022301319) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 967264 + ... + 978592.

Almost surely, 211022301312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11022301312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11995750800).

11022301312 is an abundant number, since it is smaller than the sum of its proper divisors (12969200288).

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

11022301312 is a wasteful number, since it uses less digits than its factorization.

11022301312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12045 (or 12033 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 11022301312 its reverse (21310322011), we get a palindrome (32332623323).

The spelling of 11022301312 in words is "eleven billion, twenty-two million, three hundred one thousand, three hundred twelve".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 176 352 691 704 1382 1408 2764 5528 7601 11056 11329 15202 22112 22658 30404 44224 45316 60808 88448 90632 121616 124619 181264 243232 249238 362528 486464 498476 725056 972928 996952 1450112 1993904 3987808 7828339 7975616 15656678 15951232 31313356 62626712 86111729 125253424 172223458 250506848 344446916 501013696 688893832 1002027392 1377787664 2755575328 5511150656 11022301312