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312120231020 = 2251319325919387
BaseRepresentation
bin1001000101010111101…
…00001100010001101100
31002211122012021120001022
410202223310030101230
520103210234343040
6355215215433312
731356426122003
oct4425364142154
91084565246038
10312120231020
11110407808254
12505a8525838
1323581b6b540
141116cad9c3a
1581bb77d6b5
hex48abd0c46c

312120231020 has 96 divisors (see below), whose sum is σ = 743289388800. Its totient is φ = 109139768064.

The previous prime is 312120230987. The next prime is 312120231061. The reversal of 312120231020 is 20132021213.

It is a super-2 number, since 2×3121202310202 (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 312120231020.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 16089767 + ... + 16109153.

It is an arithmetic number, because the mean of its divisors is an integer number (7742597800).

Almost surely, 2312120231020 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 312120231020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (371644694400).

312120231020 is an abundant number, since it is smaller than the sum of its proper divisors (431169157780).

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

312120231020 is a wasteful number, since it uses less digits than its factorization.

312120231020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22687 (or 22685 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 312120231020 its reverse (20132021213), we get a palindrome (332252252233).

The spelling of 312120231020 in words is "three hundred twelve billion, one hundred twenty million, two hundred thirty-one thousand, twenty".

Divisors: 1 2 4 5 10 13 19 20 26 38 52 65 76 95 130 190 247 260 380 494 988 1235 2470 3259 4940 6518 13036 16295 19387 32590 38774 42367 61921 65180 77548 84734 96935 123842 169468 193870 211835 247684 252031 309605 368353 387740 423670 504062 619210 736706 804973 847340 1008124 1238420 1260155 1473412 1609946 1841765 2520310 3219892 3683530 4024865 4788589 5040620 7367060 8049730 9577178 16099460 19154356 23942945 47885890 63182233 95771780 126364466 252728932 315911165 631822330 821369029 1200462427 1263644660 1642738058 2400924854 3285476116 4106845145 4801849708 6002312135 8213690290 12004624270 15606011551 16427380580 24009248540 31212023102 62424046204 78030057755 156060115510 312120231020