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311053421556 = 223220534208657
BaseRepresentation
bin1001000011011000011…
…10101000101111110100
31002201212211220000120200
410201230032220233310
520044014133442211
6354521310200500
731321123313223
oct4415416505764
91081784800520
10311053421556
1110aa0a602539
125034b1b3130
1323441b3bb37
14110ab15acba
158157ca1b56
hex486c3a8bf4

311053421556 has 36 divisors (see below), whose sum is σ = 786657101412. Its totient is φ = 103633945344.

The previous prime is 311053421519. The next prime is 311053421573. The reversal of 311053421556 is 655124350113.

311053421556 is a `hidden beast` number, since 3 + 1 + 10 + 53 + 42 + 1 + 556 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 74939062500 + 236114359056 = 273750^2 + 485916^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×3110534215562 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 311053421556.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 2030421 + ... + 2178236.

Almost surely, 2311053421556 is an apocalyptic number.

311053421556 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

311053421556 is an abundant number, since it is smaller than the sum of its proper divisors (475603679856).

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

311053421556 is a wasteful number, since it uses less digits than its factorization.

311053421556 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4210720 (or 4210715 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 36.

Adding to 311053421556 its reverse (655124350113), we get a palindrome (966177771669).

The spelling of 311053421556 in words is "three hundred eleven billion, fifty-three million, four hundred twenty-one thousand, five hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 18 36 2053 4106 6159 8212 12318 18477 24636 36954 73908 4208657 8417314 12625971 16834628 25251942 37877913 50503884 75755826 151511652 8640372821 17280745642 25921118463 34561491284 51842236926 77763355389 103684473852 155526710778 311053421556