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11307824112 = 2431324175193
BaseRepresentation
bin10101000011111111…
…11011001111110000
31002012001122222112110
422201333323033300
5141124300332422
65110021525320
7550134630144
oct124177731760
932161588473
1011307824112
114882a76692
122236b73840
1310b29347b0
14793b1d224
15462ae660c
hex2a1ffb3f0

11307824112 has 80 divisors (see below), whose sum is σ = 31589901728. Its totient is φ = 3464847360.

The previous prime is 11307824071. The next prime is 11307824123. The reversal of 11307824112 is 21142870311.

It is a super-2 number, since 2×113078241122 (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 11307824112.

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, 112788 + ... + 187980.

Almost surely, 211307824112 is an apocalyptic number.

11307824112 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 11307824112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15794950864).

11307824112 is an abundant number, since it is smaller than the sum of its proper divisors (20282077616).

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

11307824112 is a wasteful number, since it uses less digits than its factorization.

11307824112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75458 (or 75452 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 30.

The spelling of 11307824112 in words is "eleven billion, three hundred seven million, eight hundred twenty-four thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 156 208 241 312 482 624 723 964 1446 1928 2892 3133 3856 5784 6266 9399 11568 12532 18798 25064 37596 50128 75192 75193 150384 150386 225579 300772 451158 601544 902316 977509 1203088 1804632 1955018 2932527 3609264 3910036 5865054 7820072 11730108 15640144 18121513 23460216 36243026 46920432 54364539 72486052 108729078 144972104 217458156 235579669 289944208 434916312 471159338 706739007 869832624 942318676 1413478014 1884637352 2826956028 3769274704 5653912056 11307824112