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20302321232130 = 2357312269160813
BaseRepresentation
bin1001001110111000000001…
…01001010010100100000010
32122212212211200012100021020
410213130000221102210002
510130113123213412010
6111102431351210310
74163536306056000
oct447340051224402
978785750170236
1020302321232130
1165181910673a3
12233a886376996
13b43667cac982
145028cd797a70
1525319b20c470
hex127700a52902

20302321232130 has 128 divisors (see below), whose sum is σ = 56827808064000. Its totient is φ = 4640123480832.

The previous prime is 20302321232119. The next prime is 20302321232197. The reversal of 20302321232130 is 3123212320302.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 20302321232130.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 126167604 + ... + 126328416.

It is an arithmetic number, because the mean of its divisors is an integer number (443967250500).

Almost surely, 220302321232130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20302321232130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28413904032000).

20302321232130 is an abundant number, since it is smaller than the sum of its proper divisors (36525486831870).

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

20302321232130 is a wasteful number, since it uses less digits than its factorization.

20302321232130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173113 (or 173099 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 20302321232130 its reverse (3123212320302), we get a palindrome (23425533552432).

The spelling of 20302321232130 in words is "twenty trillion, three hundred two billion, three hundred twenty-one million, two hundred thirty-two thousand, one hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 49 70 98 105 147 210 245 294 343 490 686 735 1029 1470 1715 2058 3430 5145 10290 12269 24538 36807 61345 73614 85883 122690 160813 171766 184035 257649 321626 368070 429415 482439 515298 601181 804065 858830 964878 1125691 1202362 1288245 1608130 1803543 2251382 2412195 2576490 3005905 3377073 3607086 4208267 4824390 5628455 6011810 6754146 7879837 8416534 9017715 11256910 12624801 15759674 16885365 18035430 21041335 23639511 25249602 33770730 39399185 42082670 47279022 55158859 63124005 78798370 110317718 118197555 126248010 165476577 236395110 275794295 330953154 551588590 827382885 1654765770 1973014697 3946029394 5919044091 9865073485 11838088182 13811102879 19730146970 27622205758 29595220455 41433308637 59190440910 69055514395 82866617274 96677720153 138111028790 193355440306 207166543185 290033160459 414333086370 483388600765 580066320918 676744041071 966777201530 1353488082142 1450165802295 2030232123213 2900331604590 3383720205355 4060464246426 6767440410710 10151160616065 20302321232130