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20324145206120 = 23571511447332207
BaseRepresentation
bin1001001111100000101010…
…11101001001001101101000
32122221222011121212002110012
410213300111131021031220
510130442322133043440
6111120441114511052
74165241156560220
oct447602535111550
978858147762405
1020324145206120
116526470135038
122342b57135488
13b4573551c852
1450399ddd7080
15253a27169e65
hex127c15749368

20324145206120 has 128 divisors (see below), whose sum is σ = 52644709416960. Its totient is φ = 6917326214400.

The previous prime is 20324145206089. The next prime is 20324145206137. The reversal of 20324145206120 is 2160254142302.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 61013057 + ... + 61345263.

It is an arithmetic number, because the mean of its divisors is an integer number (411286792320).

Almost surely, 220324145206120 is an apocalyptic number.

20324145206120 is a gapful number since it is divisible by the number (20) 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 20324145206120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26322354708480).

20324145206120 is an abundant number, since it is smaller than the sum of its proper divisors (32320564210840).

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

20324145206120 is a wasteful number, since it uses less digits than its factorization.

20324145206120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333823 (or 333819 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 32.

Adding to 20324145206120 its reverse (2160254142302), we get a palindrome (22484399348422).

The spelling of 20324145206120 in words is "twenty trillion, three hundred twenty-four billion, one hundred forty-five million, two hundred six thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 151 280 302 604 755 1057 1208 1447 1510 2114 2894 3020 4228 5285 5788 6040 7235 8456 10129 10570 11576 14470 20258 21140 28940 40516 42280 50645 57880 81032 101290 202580 218497 332207 405160 436994 664414 873988 1092485 1328828 1529479 1661035 1747976 2184970 2325449 2657656 3058958 3322070 4369940 4650898 6117916 6644140 7647395 8739880 9301796 11627245 12235832 13288280 15294790 18603592 23254490 30589580 46508980 50163257 61179160 93017960 100326514 200653028 250816285 351142799 401306056 480703529 501632570 702285598 961407058 1003265140 1404571196 1755713995 1922814116 2006530280 2403517645 2809142392 3364924703 3511427990 3845628232 4807035290 6729849406 7022855980 9614070580 13459698812 14045711960 16824623515 19228141160 26919397624 33649247030 67298494060 72586232879 134596988120 145172465758 290344931516 362931164395 508103630153 580689863032 725862328790 1016207260306 1451724657580 2032414520612 2540518150765 2903449315160 4064829041224 5081036301530 10162072603060 20324145206120