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11123112432 = 2432356917707
BaseRepresentation
bin10100101101111110…
…10011100111110000
31001201012002122202010
422112333103213300
5140240004044212
65035422522520
7542432616135
oct122677234760
931635078663
1011123112432
114798786003
1221a5136440
1310835a1143
1477739a58c
154517ac03c
hex296fd39f0

11123112432 has 80 divisors (see below), whose sum is σ = 30038434560. Its totient is φ = 3540066816.

The previous prime is 11123112421. The next prime is 11123112493. The reversal of 11123112432 is 23421132111.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 11123112399 and 11123112408.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 619323 + ... + 637029.

It is an arithmetic number, because the mean of its divisors is an integer number (375480432).

Almost surely, 211123112432 is an apocalyptic number.

11123112432 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 11123112432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15019217280).

11123112432 is an abundant number, since it is smaller than the sum of its proper divisors (18915322128).

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

11123112432 is a wasteful number, since it uses less digits than its factorization.

11123112432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18310 (or 18304 counting only the distinct ones).

The product of its digits is 288, while the sum is 21.

Adding to 11123112432 its reverse (23421132111), we get a palindrome (34544244543).

The spelling of 11123112432 in words is "eleven billion, one hundred twenty-three million, one hundred twelve thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 23 24 46 48 69 92 138 184 276 368 552 569 1104 1138 1707 2276 3414 4552 6828 9104 13087 13656 17707 26174 27312 35414 39261 52348 53121 70828 78522 104696 106242 141656 157044 209392 212484 283312 314088 407261 424968 628176 814522 849936 1221783 1629044 2443566 3258088 4887132 6516176 9774264 10075283 19548528 20150566 30225849 40301132 60451698 80602264 120903396 161204528 231731509 241806792 463463018 483613584 695194527 926926036 1390389054 1853852072 2780778108 3707704144 5561556216 11123112432