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107312530311 = 32721714314063
BaseRepresentation
bin110001111110001010…
…0110100001110000111
3101020222210110101000200
41203330110310032013
53224234001432221
6121144303541543
710516206312600
oct1437424641607
9336883411020
10107312530311
1141569142388
121896a8ba8b3
13a1727ac95c
1452a02d2da7
152bd11da426
hex18fc534387

107312530311 has 36 divisors (see below), whose sum is σ = 190920985632. Its totient is φ = 57714297984.

The previous prime is 107312530219. The next prime is 107312530331. The reversal of 107312530311 is 113035213701.

It is a happy number.

107312530311 is a `hidden beast` number, since 1 + 0 + 7 + 312 + 5 + 30 + 311 = 666.

It is not a de Polignac number, because 107312530311 - 29 = 107312529799 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107312530331) 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 35 ways as a sum of consecutive naturals, for example, 7149535 + ... + 7164528.

It is an arithmetic number, because the mean of its divisors is an integer number (5303360712).

Almost surely, 2107312530311 is an apocalyptic number.

107312530311 is a deficient number, since it is larger than the sum of its proper divisors (83608455321).

107312530311 is a wasteful number, since it uses less digits than its factorization.

107312530311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14314100 (or 14314090 counting only the distinct ones).

The product of its (nonzero) digits is 1890, while the sum is 27.

The spelling of 107312530311 in words is "one hundred seven billion, three hundred twelve million, five hundred thirty thousand, three hundred eleven".

Divisors: 1 3 7 9 17 21 49 51 63 119 147 153 357 441 833 1071 2499 7497 14314063 42942189 100198441 128826567 243339071 300595323 701389087 730017213 901785969 1703373497 2104167261 2190051639 5110120491 6312501783 11923614479 15330361473 35770843437 107312530311