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120311113 = 1353174617
BaseRepresentation
bin1110010101111…
…00110101001001
322101101102211011
413022330311021
5221244423423
615534403521
72660425156
oct712746511
9271342734
10120311113
1161a0457a
12343605a1
131bc05710
1411d9b22d
15a867b0d
hex72bcd49

120311113 has 8 divisors (see below), whose sum is σ = 132011208. Its totient is φ = 108960384.

The previous prime is 120311101. The next prime is 120311129. The reversal of 120311113 is 311113021.

It can be written as a sum of positive squares in 4 ways, for example, as 8543929 + 111767184 = 2923^2 + 10572^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 120311113 - 213 = 120302921 is a prime.

It is a super-2 number, since 2×1203111132 = 28949527822597538, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 120311093 and 120311102.

It is not an unprimeable number, because it can be changed into a prime (120311153) 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, 86620 + ... + 87997.

It is an arithmetic number, because the mean of its divisors is an integer number (16501401).

Almost surely, 2120311113 is an apocalyptic number.

120311113 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

120311113 is a deficient number, since it is larger than the sum of its proper divisors (11700095).

120311113 is a wasteful number, since it uses less digits than its factorization.

120311113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174683.

The product of its (nonzero) digits is 18, while the sum is 13.

The square root of 120311113 is about 10968.6422587301. The cubic root of 120311113 is about 493.6683084845.

Adding to 120311113 its reverse (311113021), we get a palindrome (431424134).

The spelling of 120311113 in words is "one hundred twenty million, three hundred eleven thousand, one hundred thirteen".

Divisors: 1 13 53 689 174617 2270021 9254701 120311113