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320131021414300 = 22528968352664389
BaseRepresentation
bin100100011001010000100111…
…1110100000001111110011100
31112222111020010022022120010221
41020302201033310001332130
5313430011312440224200
63052510054434011124
7124300463100246415
oct11062411764017634
91488436108276127
10320131021414300
1193004892876338
122baa3653416aa4
13109822c2087625
14590a5d1a8280c
15270252106991a
hex123284fd01f9c

320131021414300 has 72 divisors (see below), whose sum is σ = 703518307102800. Its totient is φ = 126428236408320.

The previous prime is 320131021414291. The next prime is 320131021414343. The reversal of 320131021414300 is 3414120131023.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20253495 + ... + 32410894.

It is an arithmetic number, because the mean of its divisors is an integer number (9771087598650).

Almost surely, 2320131021414300 is an apocalyptic number.

It is an amenable number.

320131021414300 is an abundant number, since it is smaller than the sum of its proper divisors (383387285688500).

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

320131021414300 is a wasteful number, since it uses less digits than its factorization.

320131021414300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52665175 (or 52665168 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 25.

Adding to 320131021414300 its reverse (3414120131023), we get a palindrome (323545141545323).

The spelling of 320131021414300 in words is "three hundred twenty trillion, one hundred thirty-one billion, twenty-one million, four hundred fourteen thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 89 100 178 356 445 683 890 1366 1780 2225 2732 3415 4450 6830 8900 13660 17075 34150 60787 68300 121574 243148 303935 607870 1215740 1519675 3039350 6078700 52664389 105328778 210657556 263321945 526643890 1053287780 1316609725 2633219450 4687130621 5266438900 9374261242 18748522484 23435653105 35969777687 46871306210 71939555374 93742612420 117178265525 143879110748 179848888435 234356531050 359697776870 468713062100 719395553740 899244442175 1798488884350 3201310214143 3596977768700 6402620428286 12805240856572 16006551070715 32013102141430 64026204282860 80032755353575 160065510707150 320131021414300