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20315051321300 = 225217167193137057
BaseRepresentation
bin1001001111001111101110…
…11010101110011111010100
32122221002200212002212200022
410213213313122232133110
510130320211114240200
6111112334501204312
74164466624043411
oct447476732563724
978832625085608
1020315051321300
11652262394984a
122341239700698
13b4491648a308
1450337a343108
15253693ae5885
hex1279f76ae7d4

20315051321300 has 144 divisors (see below), whose sum is σ = 46981904715648. Its totient is φ = 7598080819200.

The previous prime is 20315051321281. The next prime is 20315051321311. The reversal of 20315051321300 is 312315051302.

It is a self number, because there is not a number n which added to its sum of digits gives 20315051321300.

It is a congruent number.

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, 548192372 + ... + 548229428.

It is an arithmetic number, because the mean of its divisors is an integer number (326263227192).

Almost surely, 220315051321300 is an apocalyptic number.

20315051321300 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 20315051321300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23490952357824).

20315051321300 is an abundant number, since it is smaller than the sum of its proper divisors (26666853394348).

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

20315051321300 is a wasteful number, since it uses less digits than its factorization.

20315051321300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39186 (or 39179 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 26.

Adding to 20315051321300 its reverse (312315051302), we get a palindrome (20627366372602).

The spelling of 20315051321300 in words is "twenty trillion, three hundred fifteen billion, fifty-one million, three hundred twenty-one thousand, three hundred".

Divisors: 1 2 4 5 10 17 20 25 34 50 68 85 100 167 170 334 340 425 668 835 850 1670 1700 1931 2839 3340 3862 4175 5678 7724 8350 9655 11356 14195 16700 19310 28390 32827 37057 38620 48275 56780 65654 70975 74114 96550 131308 141950 148228 164135 185285 193100 283900 322477 328270 370570 629969 644954 656540 741140 820675 926425 1259938 1289908 1612385 1641350 1852850 2519876 3149845 3224770 3282700 3705700 5482109 6188519 6299690 6449540 8061925 10964218 12377038 12599380 15749225 16123850 21928436 24754076 27410545 30942595 31498450 32247700 54821090 61885190 62996900 71557067 105204823 109642180 123770380 137052725 143114134 154712975 210409646 274105450 286228268 309425950 357785335 420819292 526024115 548210900 618851900 715570670 1052048230 1216470139 1431141340 1788926675 2104096460 2432940278 2630120575 3577853350 4865880556 5260241150 6082350695 7155706700 10520482300 11950030189 12164701390 23900060378 24329402780 30411753475 47800120756 59750150945 60823506950 119500301890 121647013900 203150513213 239000603780 298750754725 406301026426 597501509450 812602052852 1015752566065 1195003018900 2031505132130 4063010264260 5078762830325 10157525660650 20315051321300