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312120721841 = 23139587166319
BaseRepresentation
bin1001000101010111101…
…10000100000110110001
31002211122020012111022212
410202223312010012301
520103210401044331
6355215234141505
731356433234655
oct4425366040661
91084566174285
10312120721841
11110408012a95
12505a8721895
1323581cb0a76
141116cbc6a65
1581bb828d2b
hex48abd841b1

312120721841 has 16 divisors (see below), whose sum is σ = 328595097600. Its totient is φ = 295895688528.

The previous prime is 312120721831. The next prime is 312120721859. The reversal of 312120721841 is 148127021213.

It is a de Polignac number, because none of the positive numbers 2k-312120721841 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 312120721798 and 312120721807.

It is not an unprimeable number, because it can be changed into a prime (312120721831) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1793480 + ... + 1959798.

It is an arithmetic number, because the mean of its divisors is an integer number (20537193600).

Almost surely, 2312120721841 is an apocalyptic number.

It is an amenable number.

312120721841 is a deficient number, since it is larger than the sum of its proper divisors (16474375759).

312120721841 is a wasteful number, since it uses less digits than its factorization.

312120721841 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167068.

The product of its (nonzero) digits is 5376, while the sum is 32.

The spelling of 312120721841 in words is "three hundred twelve billion, one hundred twenty million, seven hundred twenty-one thousand, eight hundred forty-one".

Divisors: 1 23 139 587 3197 13501 81593 166319 1876639 3825337 23118341 97629253 531721843 2245472819 13570466167 312120721841