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120414002114 = 27137571110993
BaseRepresentation
bin111000000100100111…
…0111101101111000010
3102111210212012002122002
41300021032331233002
53433101441031424
6131152321544002
711461654062440
oct1601116755702
9374725162562
10120414002114
114708162402a
121b4064a5002
13b47cbbc033
145b84313b90
1531eb4d2cae
hex1c093bdbc2

120414002114 has 32 divisors (see below), whose sum is σ = 207986075136. Its totient is φ = 51215685120.

The previous prime is 120414002087. The next prime is 120414002147. The reversal of 120414002114 is 411200414021.

It is a super-2 number, since 2×1204140021142 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 10948202 + ... + 10959194.

It is an arithmetic number, because the mean of its divisors is an integer number (6499564848).

Almost surely, 2120414002114 is an apocalyptic number.

120414002114 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

120414002114 is a deficient number, since it is larger than the sum of its proper divisors (87572073022).

120414002114 is a wasteful number, since it uses less digits than its factorization.

120414002114 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16850.

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 120414002114 its reverse (411200414021), we get a palindrome (531614416135).

The spelling of 120414002114 in words is "one hundred twenty billion, four hundred fourteen million, two thousand, one hundred fourteen".

Divisors: 1 2 7 14 137 274 959 1918 5711 10993 11422 21986 39977 76951 79954 153902 782407 1506041 1564814 3012082 5476849 10542287 10953698 21084574 62781023 125562046 439467161 878934322 8601000151 17202000302 60207001057 120414002114