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31322203130020 = 225111716095205047
BaseRepresentation
bin1110001111100110001001…
…10010101000100010100100
311002220101002012011002012011
413013303010302220202210
513101140333000130040
6150341115501004004
76411645251511235
oct707630462504244
9132811065132164
1031322203130020
119a8674310a480
12361a552553604
13146289549a53a
147a400767108c
15394b680a43ea
hex1c7cc4ca88a4

31322203130020 has 96 divisors (see below), whose sum is σ = 76024514684160. Its totient is φ = 10713233879040.

The previous prime is 31322203129993. The next prime is 31322203130027. The reversal of 31322203130020 is 2003130222313.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 31322203129973 and 31322203130000.

It is not an unprimeable number, because it can be changed into a prime (31322203130027) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3415137 + ... + 8620183.

It is an arithmetic number, because the mean of its divisors is an integer number (791922027960).

Almost surely, 231322203130020 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 31322203130020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38012257342080).

31322203130020 is an abundant number, since it is smaller than the sum of its proper divisors (44702311554140).

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

31322203130020 is a wasteful number, since it uses less digits than its factorization.

31322203130020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5206693 (or 5206691 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 22.

Adding to 31322203130020 its reverse (2003130222313), we get a palindrome (33325333352333).

The spelling of 31322203130020 in words is "thirty-one trillion, three hundred twenty-two billion, two hundred three million, one hundred thirty thousand, twenty".

Divisors: 1 2 4 5 10 11 17 20 22 34 44 55 68 85 110 170 187 220 340 374 748 935 1609 1870 3218 3740 6436 8045 16090 17699 27353 32180 35398 54706 70796 88495 109412 136765 176990 273530 300883 353980 547060 601766 1203532 1504415 3008830 5205047 6017660 10410094 20820188 26025235 52050470 57255517 88485799 104100940 114511034 176971598 229022068 286277585 353943196 442428995 572555170 884857990 973343789 1145110340 1769715980 1946687578 3893375156 4866718945 8374920623 9733437890 16749841246 19466875780 33499682492 41874603115 83749206230 92124126853 142373650591 167498412460 184248253706 284747301182 368496507412 460620634265 569494602364 711868252955 921241268530 1423736505910 1566110156501 1842482537060 2847473011820 3132220313002 6264440626004 7830550782505 15661101565010 31322203130020