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112302668079 = 33719127246247
BaseRepresentation
bin110100010010111000…
…0101011100100101111
3101201212120021122011000
41220211300223210233
53314443440334304
6123331403531343
711053651633320
oct1504560534457
9351776248130
10112302668079
1143699a23788
1219921b29b53
13a7895975b4
145614d48447
152dc4344939
hex1a25c2b92f

112302668079 has 64 divisors (see below), whose sum is σ = 201726361600. Its totient is φ = 60316480224.

The previous prime is 112302668057. The next prime is 112302668087. The reversal of 112302668079 is 970866203211.

112302668079 is a `hidden beast` number, since 11 + 230 + 266 + 80 + 79 = 666.

It is not a de Polignac number, because 112302668079 - 27 = 112302667951 is a prime.

It is a super-2 number, since 2×1123026680792 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112302668279) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 332934 + ... + 579180.

It is an arithmetic number, because the mean of its divisors is an integer number (3151974400).

Almost surely, 2112302668079 is an apocalyptic number.

112302668079 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

112302668079 is a deficient number, since it is larger than the sum of its proper divisors (89423693521).

112302668079 is a wasteful number, since it uses less digits than its factorization.

112302668079 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246409 (or 246403 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 112302668079 in words is "one hundred twelve billion, three hundred two million, six hundred sixty-eight thousand, seventy-nine".

Divisors: 1 3 7 9 19 21 27 57 63 127 133 171 189 381 399 513 889 1143 1197 2413 2667 3429 3591 7239 8001 16891 21717 24003 50673 65151 152019 246247 456057 738741 1723729 2216223 4678693 5171187 6648669 14036079 15513561 31273369 32750851 42108237 46540683 93820107 98252553 126324711 218913583 281460321 294757659 594194011 656740749 844380963 884272977 1782582033 1970222247 4159358077 5347746099 5910666741 12478074231 16043238297 37434222693 112302668079