Search a number
-
+
1321202000300 = 22527131131284841
BaseRepresentation
bin10011001110011101110…
…001101010000110101100
311200022020211122122220112
4103032131301222012230
5133121310203002200
62450541332035152
7164311421464340
oct23163561520654
94608224578815
101321202000300
1146a3560a3896
12194083a62ab8
1397786816b50
1447d37361620
152457a474535
hex1339dc6a1ac

1321202000300 has 144 divisors (see below), whose sum is σ = 3559855196352. Its totient is φ = 414437990400.

The previous prime is 1321202000297. The next prime is 1321202000303. The reversal of 1321202000300 is 30002021231.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1321202000297) and next prime (1321202000303).

It is a Harshad number since it is a multiple of its sum of digits (14).

It is not an unprimeable number, because it can be changed into a prime (1321202000303) 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, 385880 + ... + 1670720.

Almost surely, 21321202000300 is an apocalyptic number.

1321202000300 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 1321202000300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1779927598176).

1321202000300 is an abundant number, since it is smaller than the sum of its proper divisors (2238653196052).

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

1321202000300 is a wasteful number, since it uses less digits than its factorization.

1321202000300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1284988 (or 1284981 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

Adding to 1321202000300 its reverse (30002021231), we get a palindrome (1351204021531).

The spelling of 1321202000300 in words is "one trillion, three hundred twenty-one billion, two hundred two million, three hundred", and thus it is an aban number.

Divisors: 1 2 4 5 7 10 13 14 20 25 26 28 35 50 52 65 70 91 100 113 130 140 175 182 226 260 325 350 364 452 455 565 650 700 791 910 1130 1300 1469 1582 1820 2260 2275 2825 2938 3164 3955 4550 5650 5876 7345 7910 9100 10283 11300 14690 15820 19775 20566 29380 36725 39550 41132 51415 73450 79100 102830 146900 205660 257075 514150 1028300 1284841 2569682 5139364 6424205 8993887 12848410 16702933 17987774 25696820 32121025 33405866 35975548 44969435 64242050 66811732 83514665 89938870 116920531 128484100 145187033 167029330 179877740 224847175 233841062 290374066 334058660 417573325 449694350 467682124 580748132 584602655 725935165 835146650 899388700 1016309231 1169205310 1451870330 1670293300 1887431429 2032618462 2338410620 2903740660 2923013275 3629675825 3774862858 4065236924 5081546155 5846026550 7259351650 7549725716 9437157145 10163092310 11692053100 13212020003 14518703300 18874314290 20326184620 25407730775 26424040006 37748628580 47185785725 50815461550 52848080012 66060100015 94371571450 101630923100 132120200030 188743142900 264240400060 330300500075 660601000150 1321202000300