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312201222402340 = 225101273154138429
BaseRepresentation
bin100011011111100100000001…
…0111101011011000100100100
31111221102010220222110211220201
41012333020002331123010210
5311410101100413333330
63023555132300440244
7122521536221630605
oct10677100275330444
91457363828424821
10312201222402340
1190527881a82497
122b022831849084
13105285ab44ca5b
1457148969b7dac
15261610c1b6eca
hex11bf202f5b124

312201222402340 has 24 divisors (see below), whose sum is σ = 655629045112440. Its totient is φ = 124879255043328.

The previous prime is 312201222402323. The next prime is 312201222402379. The reversal of 312201222402340 is 43204222102213.

It can be written as a sum of positive squares in 4 ways, for example, as 137950239829284 + 174250982573056 = 11745222^2 + 13200416^2 .

It is a junction number, because it is equal to n+sod(n) for n = 312201222402299 and 312201222402308.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 75043755 + ... + 79094674.

It is an arithmetic number, because the mean of its divisors is an integer number (27317876879685).

Almost surely, 2312201222402340 is an apocalyptic number.

It is an amenable number.

312201222402340 is an abundant number, since it is smaller than the sum of its proper divisors (343427822710100).

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

312201222402340 is a wasteful number, since it uses less digits than its factorization.

312201222402340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154239711 (or 154239709 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 312201222402340 its reverse (43204222102213), we get a palindrome (355405444504553).

The spelling of 312201222402340 in words is "three hundred twelve trillion, two hundred one billion, two hundred twenty-two million, four hundred two thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 101273 202546 405092 506365 1012730 2025460 154138429 308276858 616553716 770692145 1541384290 3082768580 15610061120117 31220122240234 62440244480468 78050305600585 156100611201170 312201222402340