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11113200220032 = 273232257299063
BaseRepresentation
bin1010000110110111111001…
…0110011111011110000000
31110100102010000211200021100
42201231332112133132000
52424034313224020112
635345200025054400
72224621314161331
oct241557626373600
943312100750240
1011113200220032
1135a5099892769
1212b5990327400
13627c7c938981
142a5c4b7a0288
1514412e6e52dc
hexa1b7e59f780

11113200220032 has 96 divisors (see below), whose sum is σ = 31980489587280. Its totient is φ = 3704272846848.

The previous prime is 11113200220019. The next prime is 11113200220037. The reversal of 11113200220032 is 23002200231111.

11113200220032 is a `hidden beast` number, since 1 + 111 + 320 + 0 + 2 + 200 + 32 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a junction number, because it is equal to n+sod(n) for n = 11113200219987 and 11113200220014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11113200220037) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 37010533 + ... + 37309595.

Almost surely, 211113200220032 is an apocalyptic number.

11113200220032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11113200220032 is an abundant number, since it is smaller than the sum of its proper divisors (20867289367248).

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

11113200220032 is a wasteful number, since it uses less digits than its factorization.

11113200220032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 331340 (or 331325 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 11113200220032 its reverse (23002200231111), we get a palindrome (34115400451143).

The spelling of 11113200220032 in words is "eleven trillion, one hundred thirteen billion, two hundred million, two hundred twenty thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 32257 64514 96771 129028 193542 258056 290313 299063 387084 516112 580626 598126 774168 897189 1032224 1161252 1196252 1548336 1794378 2064448 2322504 2392504 2691567 3096672 3588756 4128896 4645008 4785008 5383134 6193344 7177512 9290016 9570016 10766268 12386688 14355024 18580032 19140032 21532536 28710048 37160064 38280064 43065072 57420096 86130144 114840192 172260288 344520576 9646875191 19293750382 28940625573 38587500764 57881251146 77175001528 86821876719 115762502292 154350003056 173643753438 231525004584 308700006112 347287506876 463050009168 617400012224 694575013752 926100018336 1234800024448 1389150027504 1852200036672 2778300055008 3704400073344 5556600110016 11113200220032