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302013201300 = 2235252310311867
BaseRepresentation
bin1000110010100010110…
…00111011101110010100
31001212112211010020202020
410121101120323232110
514422010334420200
6350424251013140
730551111566026
oct4312130735624
91055484106666
10302013201300
111070a0640228
124a64773a1b0
1322630c48995
1410890676016
157cc92ccea0
hex465163bb94

302013201300 has 144 divisors (see below), whose sum is σ = 876814213632. Its totient is φ = 80261884800.

The previous prime is 302013201289. The next prime is 302013201341. The reversal of 302013201300 is 3102310203.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 302013201300.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 161762967 + ... + 161764833.

Almost surely, 2302013201300 is an apocalyptic number.

302013201300 is a gapful number since it is divisible by the number (30) 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 302013201300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (438407106816).

302013201300 is an abundant number, since it is smaller than the sum of its proper divisors (574801012332).

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

302013201300 is a wasteful number, since it uses less digits than its factorization.

302013201300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3438 (or 3431 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

Adding to 302013201300 its reverse (3102310203), we get a palindrome (305115511503).

The spelling of 302013201300 in words is "three hundred two billion, thirteen million, two hundred one thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 523 1031 1046 1569 1867 2062 2092 2615 3093 3138 3734 4124 5155 5230 5601 6186 6276 7468 7845 9335 10310 10460 11202 12372 13075 15465 15690 18670 20620 22404 25775 26150 28005 30930 31380 37340 39225 46675 51550 52300 56010 61860 77325 78450 93350 103100 112020 140025 154650 156900 186700 280050 309300 539213 560100 976441 1078426 1617639 1924877 1952882 2156852 2696065 2929323 3235278 3849754 3905764 4882205 5392130 5774631 5858646 6470556 7699508 8088195 9624385 9764410 10784260 11549262 11717292 13480325 14646615 16176390 19248770 19528820 23098524 24411025 26960650 28873155 29293230 32352780 38497540 40440975 48121925 48822050 53921300 57746310 58586460 73233075 80881950 96243850 97644100 115492620 144365775 146466150 161763900 192487700 288731550 292932300 577463100 1006710671 2013421342 3020132013 4026842684 5033553355 6040264026 10067106710 12080528052 15100660065 20134213420 25167766775 30201320130 50335533550 60402640260 75503300325 100671067100 151006600650 302013201300