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312040334205 = 345770469961
BaseRepresentation
bin1001000101001110000…
…11011010001101111101
31002211102121221101020000
410202213003122031331
520103024311143310
6355203243144513
731354436035455
oct4424703321575
91084377841200
10312040334205
111103766a7626
1250585815139
132356b446112
141116225cd65
1581b474a4c0
hex48a70da37d

312040334205 has 20 divisors (see below), whose sum is σ = 559361192412. Its totient is φ = 166421511360.

The previous prime is 312040334197. The next prime is 312040334251. The reversal of 312040334205 is 502433040213.

312040334205 is a `hidden beast` number, since 3 + 1 + 20 + 403 + 34 + 205 = 666.

312040334205 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 240581421081 + 71458913124 = 490491^2 + 267318^2 .

It is not a de Polignac number, because 312040334205 - 23 = 312040334197 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 385234576 + ... + 385235385.

Almost surely, 2312040334205 is an apocalyptic number.

It is an amenable number.

312040334205 is a deficient number, since it is larger than the sum of its proper divisors (247320858207).

312040334205 is an equidigital number, since it uses as much as digits as its factorization.

312040334205 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 770469978 (or 770469969 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

Adding to 312040334205 its reverse (502433040213), we get a palindrome (814473374418).

The spelling of 312040334205 in words is "three hundred twelve billion, forty million, three hundred thirty-four thousand, two hundred five".

Divisors: 1 3 5 9 15 27 45 81 135 405 770469961 2311409883 3852349805 6934229649 11557049415 20802688947 34671148245 62408066841 104013444735 312040334205