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11321115312 = 24313210713043
BaseRepresentation
bin10101000101100101…
…01000001010110000
31002012222200020122010
422202302220022300
5141141201142222
65111214442520
7550355615043
oct124262501260
932188606563
1011321115312
11488a524551
12223b503440
1310b5609400
147957bcc5a
15463d6e80c
hex2a2ca82b0

11321115312 has 120 divisors (see below), whose sum is σ = 31967400384. Its totient is φ = 3450600192.

The previous prime is 11321115307. The next prime is 11321115317. The reversal of 11321115312 is 21351112311.

It is an interprime number because it is at equal distance from previous prime (11321115307) and next prime (11321115317).

It is not an unprimeable number, because it can be changed into a prime (11321115317) 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 23 ways as a sum of consecutive naturals, for example, 861463 + ... + 874505.

Almost surely, 211321115312 is an apocalyptic number.

11321115312 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 11321115312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15983700192).

11321115312 is an abundant number, since it is smaller than the sum of its proper divisors (20646285072).

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

11321115312 is a wasteful number, since it uses less digits than its factorization.

11321115312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13187 (or 13168 counting only the distinct ones).

The product of its digits is 180, while the sum is 21.

Adding to 11321115312 its reverse (21351112311), we get a palindrome (32672227623).

The spelling of 11321115312 in words is "eleven billion, three hundred twenty-one million, one hundred fifteen thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 107 156 169 208 214 312 321 338 428 507 624 642 676 856 1014 1284 1352 1391 1712 2028 2568 2704 2782 4056 4173 5136 5564 8112 8346 11128 13043 16692 18083 22256 26086 33384 36166 39129 52172 54249 66768 72332 78258 104344 108498 144664 156516 169559 208688 216996 289328 313032 339118 433992 508677 626064 678236 867984 1017354 1356472 1395601 2034708 2204267 2712944 2791202 4069416 4186803 4408534 5582404 6612801 8138832 8373606 8817068 11164808 13225602 16747212 17634136 18142813 22329616 26451204 33494424 35268272 36285626 52902408 54428439 66988848 72571252 105804816 108856878 145142504 217713756 235856569 290285008 435427512 471713138 707569707 870855024 943426276 1415139414 1886852552 2830278828 3773705104 5660557656 11321115312