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20320211031320 = 2354347892824307
BaseRepresentation
bin1001001111011001010101…
…11101011101010100011000
32122221121000110000022012102
410213230222331131110120
510130411243011000240
6111114550455502532
74165041525621644
oct447545275352430
978847013008172
1020320211031320
116524831420302
122342239687a48
13b45259437675
145037096d9c24
15253896a98815
hex127b2af5d518

20320211031320 has 128 divisors (see below), whose sum is σ = 48316001817600. Its totient is φ = 7682835342336.

The previous prime is 20320211031313. The next prime is 20320211031349. The reversal of 20320211031320 is 2313011202302.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 20320211031292 and 20320211031301.

It is a congruent number.

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, 5782607 + ... + 8606913.

It is an arithmetic number, because the mean of its divisors is an integer number (377468764200).

Almost surely, 220320211031320 is an apocalyptic number.

20320211031320 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 20320211031320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24158000908800).

20320211031320 is an abundant number, since it is smaller than the sum of its proper divisors (27995790786280).

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

20320211031320 is a wasteful number, since it uses less digits than its factorization.

20320211031320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2824497 (or 2824493 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 20320211031320 its reverse (2313011202302), we get a palindrome (22633222233622).

The spelling of 20320211031320 in words is "twenty trillion, three hundred twenty billion, two hundred eleven million, thirty-one thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 43 47 86 89 94 172 178 188 215 235 344 356 376 430 445 470 712 860 890 940 1720 1780 1880 2021 3560 3827 4042 4183 7654 8084 8366 10105 15308 16168 16732 19135 20210 20915 30616 33464 38270 40420 41830 76540 80840 83660 153080 167320 179869 359738 719476 899345 1438952 1798690 2824307 3597380 5648614 7194760 11297228 14121535 22594456 28243070 56486140 112972280 121445201 132742429 242890402 251363323 265484858 485780804 502726646 530969716 607226005 663712145 971561608 1005453292 1061939432 1214452010 1256816615 1327424290 2010906584 2428904020 2513633230 2654848580 4857808040 5027266460 5309697160 5707924447 10054532920 10808622889 11415848894 11814076181 21617245778 22831697788 23628152362 28539622235 43234491556 45663395576 47256304724 54043114445 57079244470 59070380905 86468983112 94512609448 108086228890 114158488940 118140761810 216172457780 228316977880 236281523620 432344915560 472563047240 508005275783 1016010551566 2032021103132 2540026378915 4064042206264 5080052757830 10160105515660 20320211031320