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312355404211 = 31127718894177
BaseRepresentation
bin1001000101110011101…
…01010011100110110011
31002212020120210121000111
410202321311103212303
520104200440413321
6355254420202151
731365313062064
oct4427165234663
91085216717014
10312355404211
11110518534364
1250653239357
13235bb7bc386
141119203656b
1581d22345e1
hex48b9d539b3

312355404211 has 16 divisors (see below), whose sum is σ = 322931992320. Its totient is φ = 301810544640.

The previous prime is 312355404191. The next prime is 312355404247. The reversal of 312355404211 is 112404553213.

It is a cyclic number.

It is not a de Polignac number, because 312355404211 - 233 = 303765469619 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (312355404271) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 74777755 + ... + 74781931.

It is an arithmetic number, because the mean of its divisors is an integer number (20183249520).

Almost surely, 2312355404211 is an apocalyptic number.

312355404211 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

312355404211 is a deficient number, since it is larger than the sum of its proper divisors (10576588109).

312355404211 is a wasteful number, since it uses less digits than its factorization.

312355404211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7374.

The product of its (nonzero) digits is 14400, while the sum is 31.

Adding to 312355404211 its reverse (112404553213), we get a palindrome (424759957424).

The spelling of 312355404211 in words is "three hundred twelve billion, three hundred fifty-five million, four hundred four thousand, two hundred eleven".

Divisors: 1 31 1277 1889 4177 39587 58559 129487 2412253 5334029 7890353 74779843 165354899 244600943 10075980781 312355404211