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113201301312 = 26321117866367
BaseRepresentation
bin110100101101101010…
…0101100011101000000
3101211012012012221012100
41221123110230131000
53323314013120222
6124000504430400
711115143120301
oct1513324543500
9354165187170
10113201301312
1144010202180
1219b32a78400
13a8a0802b38
14569c42a7a8
152e281a14ac
hex1a5b52c740

113201301312 has 84 divisors (see below), whose sum is σ = 353968482816. Its totient is φ = 34303422720.

The previous prime is 113201301299. The next prime is 113201301319. The reversal of 113201301312 is 213103102311.

113201301312 is a `hidden beast` number, since 1 + 1 + 320 + 1 + 30 + 1 + 312 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113201301319) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8926848 + ... + 8939519.

Almost surely, 2113201301312 is an apocalyptic number.

113201301312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

113201301312 is an abundant number, since it is smaller than the sum of its proper divisors (240767181504).

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

113201301312 is a wasteful number, since it uses less digits than its factorization.

113201301312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17866396 (or 17866383 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 113201301312 its reverse (213103102311), we get a palindrome (326304403623).

The spelling of 113201301312 in words is "one hundred thirteen billion, two hundred one million, three hundred one thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 64 66 72 88 96 99 132 144 176 192 198 264 288 352 396 528 576 704 792 1056 1584 2112 3168 6336 17866367 35732734 53599101 71465468 107198202 142930936 160797303 196530037 214396404 285861872 321594606 393060074 428792808 571723744 589590111 643189212 786120148 857585616 1143447488 1179180222 1286378424 1572240296 1715171232 1768770333 2358360444 2572756848 3144480592 3430342464 3537540666 4716720888 5145513696 6288961184 7075081332 9433441776 10291027392 12577922368 14150162664 18866883552 28300325328 37733767104 56600650656 113201301312