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312022340213340 = 22355200372336889
BaseRepresentation
bin100011011110010000101110…
…0110000000001101001011100
31111220210001012101002010002110
41012330201130300001221130
5311344133223043311330
63023341030110354020
7122502604315254651
oct10674413460015134
91456701171063073
10312022340213340
1190468a27710259
122abb402a4bb910
1310514771284143
145709d67435c28
15261163cbb1db0
hex11bc85cc01a5c

312022340213340 has 24 divisors (see below), whose sum is σ = 873662552597520. Its totient is φ = 83205957390208.

The previous prime is 312022340213267. The next prime is 312022340213341. The reversal of 312022340213340 is 43312043220213.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 312022340213298 and 312022340213307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312022340213341) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2600186168385 + ... + 2600186168504.

It is an arithmetic number, because the mean of its divisors is an integer number (36402606358230).

Almost surely, 2312022340213340 is an apocalyptic number.

312022340213340 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

312022340213340 is an abundant number, since it is smaller than the sum of its proper divisors (561640212384180).

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

312022340213340 is a wasteful number, since it uses less digits than its factorization.

312022340213340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5200372336901 (or 5200372336899 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 30.

Adding to 312022340213340 its reverse (43312043220213), we get a palindrome (355334383433553).

The spelling of 312022340213340 in words is "three hundred twelve trillion, twenty-two billion, three hundred forty million, two hundred thirteen thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 5200372336889 10400744673778 15601117010667 20801489347556 26001861684445 31202234021334 52003723368890 62404468042668 78005585053335 104007446737780 156011170106670 312022340213340