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321203340202192 = 24723756919460321
BaseRepresentation
bin100100100001000011111101…
…0111111100101000011010000
31120010021201222001022001111121
41021002013322333211003100
5314100043420042432232
63055050435531052024
7124441114126456600
oct11102077277450320
91503251861261447
10321203340202192
1193388631876a28
12300374388a1014
1310a2c463cc0446
145946478a60c00
152720381774d97
hex12421fafe50d0

321203340202192 has 120 divisors (see below), whose sum is σ = 744809185176840. Its totient is φ = 133702673448960.

The previous prime is 321203340202189. The next prime is 321203340202193. The reversal of 321203340202192 is 291202043302123.

It can be written as a sum of positive squares in 4 ways, for example, as 62823948936336 + 258379391265856 = 7926156^2 + 16074184^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (321203340202193) by changing a digit.

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, 6775392 + ... + 26235712.

It is an arithmetic number, because the mean of its divisors is an integer number (6206743209807).

Almost surely, 2321203340202192 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 321203340202192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (372404592588420).

321203340202192 is an abundant number, since it is smaller than the sum of its proper divisors (423605844974648).

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

321203340202192 is a wasteful number, since it uses less digits than its factorization.

321203340202192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19460949 (or 19460936 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 34.

The spelling of 321203340202192 in words is "three hundred twenty-one trillion, two hundred three billion, three hundred forty million, two hundred two thousand, one hundred ninety-two".

Divisors: 1 2 4 7 8 14 16 28 37 49 56 74 98 112 148 196 259 296 392 518 569 592 784 1036 1138 1813 2072 2276 3626 3983 4144 4552 7252 7966 9104 14504 15932 21053 27881 29008 31864 42106 55762 63728 84212 111524 147371 168424 223048 294742 336848 446096 589484 1031597 1178968 2063194 2357936 4126388 8252776 16505552 19460321 38920642 77841284 136222247 155682568 272444494 311365136 544888988 720031877 953555729 1089777976 1440063754 1907111458 2179555952 2880127508 3814222916 5040223139 5760255016 7628445832 10080446278 11072922649 11520510032 15256891664 20160892556 22145845298 35281561973 40321785112 44291690596 70563123946 77510458543 80643570224 88583381192 141126247892 155020917086 177166762384 282252495784 310041834172 409698138013 542573209801 564504991568 620083668344 819396276026 1085146419602 1240167336688 1638792552052 2170292839204 2867886966091 3277585104104 4340585678408 5735773932182 6555170208208 8681171356816 11471547864364 20075208762637 22943095728728 40150417525274 45886191457456 80300835050548 160601670101096 321203340202192