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311311101312 = 2732270235331
BaseRepresentation
bin1001000011110111001…
…01100110110110000000
31002202112210202111202100
410201323211212312000
520100031120220222
6355003033150400
731330402462161
oct4417345466600
91082483674670
10311311101312
11110032001112
125040155b400
132348333cc73
14110d3475768
1581707014ac
hex487b966d80

311311101312 has 48 divisors (see below), whose sum is σ = 895830125580. Its totient is φ = 103770366720.

The previous prime is 311311101271. The next prime is 311311101341. The reversal of 311311101312 is 213101113113.

311311101312 is a `hidden beast` number, since 31 + 1 + 311 + 10 + 1 + 312 = 666.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 135116514 + ... + 135118817.

Almost surely, 2311311101312 is an apocalyptic number.

311311101312 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

311311101312 is an abundant number, since it is smaller than the sum of its proper divisors (584519024268).

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

311311101312 is a wasteful number, since it uses less digits than its factorization.

311311101312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 270235351 (or 270235336 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 18.

Adding to 311311101312 its reverse (213101113113), we get a palindrome (524412214425).

The spelling of 311311101312 in words is "three hundred eleven billion, three hundred eleven million, one hundred one thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 270235331 540470662 810705993 1080941324 1621411986 2161882648 2432117979 3242823972 4323765296 4864235958 6485647944 8647530592 9728471916 12971295888 17295061184 19456943832 25942591776 34590122368 38913887664 51885183552 77827775328 103770367104 155655550656 311311101312