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13113412224 = 273113104501
BaseRepresentation
bin11000011011001111…
…01100101010000000
31020211220012100210020
430031213230222000
5203324013142344
610005121533440
7642651110343
oct141547545200
936756170706
1013113412224
11561a1a7770
12265b7a4280
13130ca30223
148c584c45a
1551b3a5719
hex30d9eca80

13113412224 has 64 divisors (see below), whose sum is σ = 37999104480. Its totient is φ = 3973760000.

The previous prime is 13113412223. The next prime is 13113412253. The reversal of 13113412224 is 42221431131.

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

It is a Harshad number since it is a multiple of its sum of digits (24).

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 = 13113412194 and 13113412203.

It is not an unprimeable number, because it can be changed into a prime (13113412223) 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, 1548027 + ... + 1556474.

Almost surely, 213113412224 is an apocalyptic number.

It is an amenable number.

13113412224 is an abundant number, since it is smaller than the sum of its proper divisors (24885692256).

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

13113412224 is a wasteful number, since it uses less digits than its factorization.

13113412224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3104529 (or 3104517 counting only the distinct ones).

The product of its digits is 1152, while the sum is 24.

Adding to 13113412224 its reverse (42221431131), we get a palindrome (55334843355).

The spelling of 13113412224 in words is "thirteen billion, one hundred thirteen million, four hundred twelve thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 176 192 264 352 384 528 704 1056 1408 2112 4224 3104501 6209002 9313503 12418004 18627006 24836008 34149511 37254012 49672016 68299022 74508024 99344032 102448533 136598044 149016048 198688064 204897066 273196088 298032096 397376128 409794132 546392176 596064192 819588264 1092784352 1192128384 1639176528 2185568704 3278353056 4371137408 6556706112 13113412224