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120306131 = 1143534799
BaseRepresentation
bin1110010101110…
…11100111010011
322101101011222122
413022323213103
5221244244011
615534324455
72660404511
oct712734723
9271334878
10120306131
1161a00860
123435972b
131bc0337a
1411d994b1
15a8663db
hex72bb9d3

120306131 has 16 divisors (see below), whose sum is σ = 136857600. Its totient is φ = 104788320.

The previous prime is 120306113. The next prime is 120306187. The reversal of 120306131 is 131603021.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-120306131 is a prime.

It is a super-2 number, since 2×1203061312 = 28947130312378322, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (120306191) 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 15 ways as a sum of consecutive naturals, for example, 22670 + ... + 27468.

It is an arithmetic number, because the mean of its divisors is an integer number (8553600).

Almost surely, 2120306131 is an apocalyptic number.

120306131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

120306131 is a deficient number, since it is larger than the sum of its proper divisors (16551469).

120306131 is a wasteful number, since it uses less digits than its factorization.

120306131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4906.

The product of its (nonzero) digits is 108, while the sum is 17.

The square root of 120306131 is about 10968.4151544332. The cubic root of 120306131 is about 493.6614942360.

Adding to 120306131 its reverse (131603021), we get a palindrome (251909152).

The spelling of 120306131 in words is "one hundred twenty million, three hundred six thousand, one hundred thirty-one".

Divisors: 1 11 43 53 473 583 2279 4799 25069 52789 206357 254347 2269927 2797817 10936921 120306131