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312023321220 = 2235132087191677
BaseRepresentation
bin1001000101001100000…
…10100000101010000100
31002211101102221000210110
410202212002200222010
520103010432234340
6355201434353020
731354141320102
oct4424602405204
91084342830713
10312023321220
11110368037506
125057bb8b770
1323567a6a470
141115dcb0c72
1581b2ed9680
hex48a60a0a84

312023321220 has 96 divisors (see below), whose sum is σ = 941326057728. Its totient is φ = 76768538112.

The previous prime is 312023321213. The next prime is 312023321231. The reversal of 312023321220 is 22123320213.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1532022 + ... + 1723698.

It is an arithmetic number, because the mean of its divisors is an integer number (9805479768).

Almost surely, 2312023321220 is an apocalyptic number.

312023321220 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 312023321220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (470663028864).

312023321220 is an abundant number, since it is smaller than the sum of its proper divisors (629302736508).

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

312023321220 is a wasteful number, since it uses less digits than its factorization.

312023321220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193789 (or 193787 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 312023321220 its reverse (22123320213), we get a palindrome (334146641433).

The spelling of 312023321220 in words is "three hundred twelve billion, twenty-three million, three hundred twenty-one thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 130 156 195 260 390 780 2087 4174 6261 8348 10435 12522 20870 25044 27131 31305 41740 54262 62610 81393 108524 125220 135655 162786 191677 271310 325572 383354 406965 542620 575031 766708 813930 958385 1150062 1627860 1916770 2300124 2491801 2875155 3833540 4983602 5750310 7475403 9967204 11500620 12459005 14950806 24918010 29901612 37377015 49836020 74754030 149508060 400029899 800059798 1200089697 1600119596 2000149495 2400179394 4000298990 4800358788 5200388687 6000448485 8000597980 10400777374 12000896970 15601166061 20801554748 24001793940 26001943435 31202332122 52003886870 62404664244 78005830305 104007773740 156011660610 312023321220