Search a number
-
+
302130122221300 = 225261401521237073
BaseRepresentation
bin100010010110010010010011…
…0100111000110011011110100
31110121202100122200201011112211
41010230210212213012123310
5304100044442242040200
62550324355000023204
7120432116036554612
oct10454444647063364
91417670580634484
10302130122221300
11882a473552907a
1229a76a12761b04
13cc77995c649b9
145487266ac86b2
1524de170293aba
hex112c9269c66f4

302130122221300 has 144 divisors (see below), whose sum is σ = 669317078559024. Its totient is φ = 118346342400000.

The previous prime is 302130122221253. The next prime is 302130122221321. The reversal of 302130122221300 is 3122221031203.

It can be written as a sum of positive squares in 24 ways, for example, as 201705552526864 + 100424569694436 = 14202308^2 + 10021206^2 .

It is a super-2 number, since 2×3021301222213002 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1274299564 + ... + 1274536636.

It is an arithmetic number, because the mean of its divisors is an integer number (4648035267771).

Almost surely, 2302130122221300 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 302130122221300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (334658539279512).

302130122221300 is an abundant number, since it is smaller than the sum of its proper divisors (367186956337724).

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

302130122221300 is a wasteful number, since it uses less digits than its factorization.

302130122221300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238070 (or 238063 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 302130122221300 its reverse (3122221031203), we get a palindrome (305252343252503).

The spelling of 302130122221300 in words is "three hundred two trillion, one hundred thirty billion, one hundred twenty-two million, two hundred twenty-one thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 61 100 122 244 305 401 521 610 802 1042 1220 1525 1604 2005 2084 2605 3050 4010 5210 6100 8020 10025 10420 13025 20050 24461 26050 31781 40100 48922 52100 63562 97844 122305 127124 158905 208921 237073 244610 317810 417842 474146 489220 611525 635620 794525 835684 948292 1044605 1185365 1223050 1589050 2089210 2370730 2446100 3178100 4178420 4741460 5223025 5926825 10446050 11853650 12744181 14461453 20892100 23707300 25488362 28922906 50976724 57845812 63720905 72307265 95066273 123515033 127441810 144614530 190132546 247030066 254883620 289229060 318604525 361536325 380265092 475331365 494060132 617575165 637209050 723072650 950662730 1235150330 1274418100 1446145300 1901325460 2376656825 2470300660 3087875825 4753313650 5799042653 6175751650 7534417013 9506627300 11598085306 12351503300 15068834026 23196170612 28995213265 30137668052 37672085065 49529528233 57990426530 75344170130 99059056466 115980853060 144976066325 150688340260 188360425325 198118112932 247647641165 289952132650 376720850650 495295282330 579904265300 753441701300 990590564660 1238238205825 2476476411650 3021301222213 4952952823300 6042602444426 12085204888852 15106506111065 30213012222130 60426024444260 75532530555325 151065061110650 302130122221300