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1301313222020 = 225719232924793
BaseRepresentation
bin10010111011111100010…
…011111111010110000100
311121101220202102001011202
4102323330103333112010
5132310042141101040
62433452014322032
7163005516611120
oct22737423772604
94541822361152
101301313222020
1146197a430349
121902531b9318
13959371b16a6
1446dabb4c580
1523cb4378015
hex12efc4ff584

1301313222020 has 144 divisors (see below), whose sum is σ = 3436682471040. Its totient is φ = 404304265728.

The previous prime is 1301313222007. The next prime is 1301313222023. The reversal of 1301313222020 is 202223131031.

It is a super-2 number, since 2×13013132220202 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 1301313221983 and 1301313222001.

It is not an unprimeable number, because it can be changed into a prime (1301313222023) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 944744 + ... + 1869536.

Almost surely, 21301313222020 is an apocalyptic number.

1301313222020 is a gapful number since it is divisible by the number (10) 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 1301313222020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1718341235520).

1301313222020 is an abundant number, since it is smaller than the sum of its proper divisors (2135369249020).

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

1301313222020 is a wasteful number, since it uses less digits than its factorization.

1301313222020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 924874 (or 924849 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 1301313222020 its reverse (202223131031), we get a palindrome (1503536353051).

The spelling of 1301313222020 in words is "one trillion, three hundred one billion, three hundred thirteen million, two hundred twenty-two thousand, twenty".

Divisors: 1 2 4 5 7 10 14 19 20 23 28 35 38 46 70 76 92 95 115 133 140 161 190 230 266 322 380 437 460 529 532 644 665 805 874 1058 1330 1610 1748 2116 2185 2645 2660 3059 3220 3703 4370 5290 6118 7406 8740 10051 10580 12236 14812 15295 18515 20102 30590 37030 40204 50255 61180 70357 74060 100510 140714 201020 281428 351785 703570 924793 1407140 1849586 3699172 4623965 6473551 9247930 12947102 17571067 18495860 21270239 25894204 32367755 35142134 42540478 64735510 70284268 85080956 87855335 106351195 122997469 129471020 148891673 175710670 212702390 245994938 297783346 351421340 404134541 425404780 489215497 491989876 595566692 614987345 744458365 808269082 978430994 1229974690 1488916730 1616538164 1956861988 2020672705 2446077485 2459949380 2828941787 2977833460 3424508479 4041345410 4892154970 5657883574 6849016958 8082690820 9295094443 9784309940 11315767148 13698033916 14144708935 17122542395 18590188886 28289417870 34245084790 37180377772 46475472215 56578835740 65065661101 68490169580 92950944430 130131322202 185901888860 260262644404 325328305505 650656611010 1301313222020