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311228430138 = 23417113009597
BaseRepresentation
bin1001000011101101010…
…10001111011100111010
31002202100001012101020000
410201312222033130322
520044343434231023
6354550521213430
731325350002303
oct4416652173472
91082301171200
10311228430138
1110aa9a37602a
1250399931276
132346c185b02
14110c64b57aa
158168321243
hex4876a8f73a

311228430138 has 40 divisors (see below), whose sum is σ = 738404713332. Its totient is φ = 97640290944.

The previous prime is 311228430137. The next prime is 311228430187. The reversal of 311228430138 is 831034822113.

311228430138 is a `hidden beast` number, since 31 + 12 + 284 + 301 + 38 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 283616958249 + 27611471889 = 532557^2 + 166167^2 .

It is not an unprimeable number, because it can be changed into a prime (311228430137) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 56502045 + ... + 56507552.

Almost surely, 2311228430138 is an apocalyptic number.

311228430138 is an abundant number, since it is smaller than the sum of its proper divisors (427176283194).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

311228430138 is a wasteful number, since it uses less digits than its factorization.

311228430138 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113009628 (or 113009619 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 311228430138 in words is "three hundred eleven billion, two hundred twenty-eight million, four hundred thirty thousand, one hundred thirty-eight".

Divisors: 1 2 3 6 9 17 18 27 34 51 54 81 102 153 162 306 459 918 1377 2754 113009597 226019194 339028791 678057582 1017086373 1921163149 2034172746 3051259119 3842326298 5763489447 6102518238 9153777357 11526978894 17290468341 18307554714 34580936682 51871405023 103742810046 155614215069 311228430138