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312330130020 = 223252935922073
BaseRepresentation
bin1001000101110000101…
…00111001001001100100
31002212011211020112100100
410202320110321021210
520104123003130040
6355252114344100
731364555205306
oct4427024711144
91085154215310
10312330130020
111105052414a7
125064688b030
13235b64b042c
141118c937976
1581cede0b30
hex48b8539264

312330130020 has 72 divisors (see below), whose sum is σ = 950635006776. Its totient is φ = 83003761152.

The previous prime is 312330130019. The next prime is 312330130031. The reversal of 312330130020 is 20031033213.

312330130020 is a `hidden beast` number, since 3 + 12 + 330 + 1 + 300 + 20 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 178426828836 + 133903301184 = 422406^2 + 365928^2 .

It is a super-2 number, since 2×3123301300202 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 312330129975 and 312330130002.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2908297 + ... + 3013776.

It is an arithmetic number, because the mean of its divisors is an integer number (13203263983).

Almost surely, 2312330130020 is an apocalyptic number.

312330130020 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

312330130020 is an abundant number, since it is smaller than the sum of its proper divisors (638304876756).

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

312330130020 is a wasteful number, since it uses less digits than its factorization.

312330130020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5922381 (or 5922376 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 312330130020 its reverse (20031033213), we get a palindrome (332361163233).

The spelling of 312330130020 in words is "three hundred twelve billion, three hundred thirty million, one hundred thirty thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 293 586 879 1172 1465 1758 2637 2930 3516 4395 5274 5860 8790 10548 13185 17580 26370 52740 5922073 11844146 17766219 23688292 29610365 35532438 53298657 59220730 71064876 88831095 106597314 118441460 177662190 213194628 266493285 355324380 532986570 1065973140 1735167389 3470334778 5205502167 6940669556 8675836945 10411004334 15616506501 17351673890 20822008668 26027510835 31233013002 34703347780 52055021670 62466026004 78082532505 104110043340 156165065010 312330130020