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302432310134020 = 2251121514191975249
BaseRepresentation
bin100010011000011111000001…
…0011010100000010100000100
31110122211020122200120200022101
41010300332002122200110010
5304120022332343242040
62551115252451441444
7120463004402464453
oct10460760232402404
91418736580520271
10302432310134020
1188400905749600
1229b054a88b6284
13cc9a324152301
145497b3263cb9a
1524e6e59a8309a
hex1130f826a0504

302432310134020 has 144 divisors (see below), whose sum is σ = 704394376560000. Its totient is φ = 108986283648000.

The previous prime is 302432310134011. The next prime is 302432310134047. The reversal of 302432310134020 is 20431013234203.

It is a happy number.

It is a super-2 number, since 2×3024323101340202 (a number of 30 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 302432310134020.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 152123356 + ... + 154098604.

It is an arithmetic number, because the mean of its divisors is an integer number (4891627615000).

Almost surely, 2302432310134020 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 302432310134020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (352197188280000).

302432310134020 is an abundant number, since it is smaller than the sum of its proper divisors (401962066425980).

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

302432310134020 is a wasteful number, since it uses less digits than its factorization.

302432310134020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1975850 (or 1975837 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 28.

Adding to 302432310134020 its reverse (20431013234203), we get a palindrome (322863323368223).

The spelling of 302432310134020 in words is "three hundred two trillion, four hundred thirty-two billion, three hundred ten million, one hundred thirty-four thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 121 151 220 242 302 419 484 604 605 755 838 1210 1510 1661 1676 2095 2420 3020 3322 4190 4609 6644 8305 8380 9218 16610 18271 18436 23045 33220 36542 46090 50699 63269 73084 91355 92180 101398 126538 182710 202796 253076 253495 316345 365420 506990 632690 695959 1013980 1265380 1391918 1975249 2783836 3479795 3950498 6959590 7655549 7900996 9876245 13919180 15311098 19752490 21727739 30622196 38277745 39504980 43455478 76555490 86910956 108638695 153110980 217277390 239005129 298262599 434554780 478010258 596525198 827629331 956020516 1193050396 1195025645 1491312995 1655258662 2390051290 2982625990 3280888589 3310517324 4138146655 4780102580 5965251980 6561777178 8276293310 9103922641 13123554356 16404442945 16552586620 18207845282 32808885890 36089774479 36415690564 45519613205 65617771780 72179548958 91039226410 100143149051 124972028981 144359097916 180448872395 182078452820 200286298102 249944057962 360897744790 400572596204 499888115924 500715745255 624860144905 721795489580 1001431490510 1249720289810 1374692318791 2002862981020 2499440579620 2749384637582 5498769275164 6873461593955 13746923187910 15121615506701 27493846375820 30243231013402 60486462026804 75608077533505 151216155067010 302432310134020