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312223312330320 = 24352633494086771
BaseRepresentation
bin100011011111101110010011…
…1100111110011111001010000
31111221111020221110120110101110
41012333130213213303321100
5311410431320424032240
63024013224244333320
7122523250512132156
oct10677344747637120
91457436843513343
10312223312330320
1190536188190316
122b026b776a4240
131052a6bbac9c61
1457159906873d6
1526169a165ac80
hex11bf7279f3e50

312223312330320 has 80 divisors (see below), whose sum is σ = 968259870741312. Its totient is φ = 83227928232960.

The previous prime is 312223312330309. The next prime is 312223312330367. The reversal of 312223312330320 is 23033213322213.

It is a tau number, because it is divible by the number of its divisors (80).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 246411466 + ... + 247675305.

Almost surely, 2312223312330320 is an apocalyptic number.

312223312330320 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

312223312330320 is an abundant number, since it is smaller than the sum of its proper divisors (656036558410992).

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

312223312330320 is a wasteful number, since it uses less digits than its factorization.

312223312330320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 494089420 (or 494089414 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 30.

Adding to 312223312330320 its reverse (23033213322213), we get a palindrome (335256525652533).

The spelling of 312223312330320 in words is "three hundred twelve trillion, two hundred twenty-three billion, three hundred twelve million, three hundred thirty thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 2633 5266 7899 10532 13165 15798 21064 26330 31596 39495 42128 52660 63192 78990 105320 126384 157980 210640 315960 631920 494086771 988173542 1482260313 1976347084 2470433855 2964520626 3952694168 4940867710 5929041252 7411301565 7905388336 9881735420 11858082504 14822603130 19763470840 23716165008 29645206260 39526941680 59290412520 118580825040 1300930468043 2601860936086 3902791404129 5203721872172 6504652340215 7805582808258 10407443744344 13009304680430 15611165616516 19513957020645 20814887488688 26018609360860 31222331233032 39027914041290 52037218721720 62444662466064 78055828082580 104074437443440 156111656165160 312223312330320