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200012313000400 = 24523713997225507
BaseRepresentation
bin101101011110100011111110…
…110111011111100111010000
3222020011222201222201021202021
4231132203332313133213100
5202204000204112003100
61545220215455501224
760062261400145045
oct5536437667374720
9866158658637667
10200012313000400
115880382241883a
121a523886b27814
13877b107223934
14375690d03b1cc
15181cba503aa1a
hexb5e8feddf9d0

200012313000400 has 120 divisors (see below), whose sum is σ = 497067354160160. Its totient is φ = 77282610209280.

The previous prime is 200012313000391. The next prime is 200012313000553. The reversal of 200012313000400 is 4000313210002.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 46555554 + ... + 50669953.

Almost surely, 2200012313000400 is an apocalyptic number.

200012313000400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

200012313000400 is an abundant number, since it is smaller than the sum of its proper divisors (297055041159760).

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

200012313000400 is a wasteful number, since it uses less digits than its factorization.

200012313000400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97225701 (or 97225690 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 200012313000400 its reverse (4000313210002), we get a palindrome (204012626210402).

The spelling of 200012313000400 in words is "two hundred trillion, twelve billion, three hundred thirteen million, four hundred", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 16 20 25 37 40 50 74 80 100 139 148 185 200 278 296 370 400 556 592 695 740 925 1112 1390 1480 1850 2224 2780 2960 3475 3700 5143 5560 6950 7400 10286 11120 13900 14800 20572 25715 27800 41144 51430 55600 82288 102860 128575 205720 257150 411440 514300 1028600 2057200 97225507 194451014 388902028 486127535 777804056 972255070 1555608112 1944510140 2430637675 3597343759 3889020280 4861275350 7194687518 7778040560 9722550700 13514345473 14389375036 17986718795 19445101400 27028690946 28778750072 35973437590 38890202800 54057381892 57557500144 67571727365 71946875180 89933593975 108114763784 135143454730 143893750360 179867187950 216229527568 270286909460 287787500720 337858636825 359734375900 500030782501 540573818920 675717273650 719468751800 1000061565002 1081147637840 1351434547300 1438937503600 2000123130004 2500153912505 2702869094600 4000246260008 5000307825010 5405738189200 8000492520016 10000615650020 12500769562525 20001231300040 25001539125050 40002462600080 50003078250100 100006156500200 200012313000400