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312150313521 = 3341535320351
BaseRepresentation
bin1001000101011011001…
…10111100101000110001
31002211201021212220111000
410202231212330220301
520103240440013041
6355222212312213
731360242613044
oct4425546745061
91084637786430
10312150313521
11110422794722
12505b6612669
1323588171c37
1411172acac5b
1581be221bb6
hex48ad9bca31

312150313521 has 32 divisors (see below), whose sum is σ = 482662333440. Its totient is φ = 199193904000.

The previous prime is 312150313487. The next prime is 312150313547. The reversal of 312150313521 is 125313051213.

312150313521 is a `hidden beast` number, since 3 + 1 + 2 + 1 + 503 + 135 + 21 = 666.

It is not a de Polignac number, because 312150313521 - 29 = 312150313009 is a prime.

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

It is not an unprimeable number, because it can be changed into a prime (312150313021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2601505 + ... + 2718846.

It is an arithmetic number, because the mean of its divisors is an integer number (15083197920).

Almost surely, 2312150313521 is an apocalyptic number.

It is an amenable number.

312150313521 is a deficient number, since it is larger than the sum of its proper divisors (170512019919).

312150313521 is a wasteful number, since it uses less digits than its factorization.

312150313521 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5320454 (or 5320448 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 27.

Adding to 312150313521 its reverse (125313051213), we get a palindrome (437463364734).

The spelling of 312150313521 in words is "three hundred twelve billion, one hundred fifty million, three hundred thirteen thousand, five hundred twenty-one".

Divisors: 1 3 9 27 41 53 123 159 369 477 1107 1431 2173 6519 19557 58671 5320351 15961053 47883159 143649477 218134391 281978603 654403173 845935809 1963209519 2537807427 5889628557 7613422281 11561122723 34683368169 104050104507 312150313521