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302013220003020 = 2232510123969507901
BaseRepresentation
bin100010010101011011110111…
…0101100100001110011001100
31110121100011220120120011200200
41010222313232230201303030
5304041141033310044040
62550154542523453500
7120420510064241031
oct10452675654416314
91417304816504620
10302013220003020
118825a0a6250239
1229a58228387290
13cc699557a9a86
145481736d5d388
1524db0cc249630
hex112adeeb21ccc

302013220003020 has 144 divisors (see below), whose sum is σ = 929048178764160. Its totient is φ = 79405824960000.

The previous prime is 302013220002997. The next prime is 302013220003037. The reversal of 302013220003020 is 20300022310203.

It is a happy number.

302013220003020 is a `hidden beast` number, since 30 + 2 + 0 + 132 + 200 + 0 + 302 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 302013220002984 and 302013220003002.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 30408931 + ... + 39098970.

It is an arithmetic number, because the mean of its divisors is an integer number (6451723463640).

Almost surely, 2302013220003020 is an apocalyptic number.

302013220003020 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

302013220003020 is an abundant number, since it is smaller than the sum of its proper divisors (627034958761140).

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

302013220003020 is a wasteful number, since it uses less digits than its factorization.

302013220003020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69508256 (or 69508251 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 302013220003020 its reverse (20300022310203), we get a palindrome (322313242313223).

The spelling of 302013220003020 in words is "three hundred two trillion, thirteen billion, two hundred twenty million, three thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 101 180 202 239 303 404 478 505 606 717 909 956 1010 1195 1212 1434 1515 1818 2020 2151 2390 2868 3030 3585 3636 4302 4545 4780 6060 7170 8604 9090 10755 14340 18180 21510 24139 43020 48278 72417 96556 120695 144834 217251 241390 289668 362085 434502 482780 724170 869004 1086255 1448340 2172510 4345020 69507901 139015802 208523703 278031604 347539505 417047406 625571109 695079010 834094812 1042618515 1251142218 1390158020 2085237030 2502284436 3127855545 4170474060 6255711090 7020298001 12511422180 14040596002 16612388339 21060894003 28081192004 33224776678 35101490005 42121788006 49837165017 63182682009 66449553356 70202980010 83061941695 84243576012 99674330034 105304470015 126365364018 140405960020 149511495051 166123883390 199348660068 210608940030 249185825085 252730728036 299022990102 315913410045 332247766780 421217880060 498371650170 598045980204 631826820090 747557475255 996743300340 1263653640180 1495114950510 1677851222239 2990229901020 3355702444478 5033553666717 6711404888956 8389256111195 10067107333434 15100661000151 16778512222390 20134214666868 25167768333585 30201322000302 33557024444780 50335536667170 60402644000604 75503305000755 100671073334340 151006610001510 302013220003020