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420201122304 = 2931721158959
BaseRepresentation
bin1100001110101011111…
…00000100101000000000
31111011121112112201011210
412013111330010220000
523341032441403204
6521012052210120
742233655415215
oct6072574045000
91434545481153
10420201122304
1115222a6405a7
1269530609940
13308178a4052
14164a307db0c
15ade5141389
hex61d5f04a00

420201122304 has 80 divisors (see below), whose sum is σ = 1120099559040. Its totient is φ = 139984773120.

The previous prime is 420201122291. The next prime is 420201122333. The reversal of 420201122304 is 403221102024.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2563977 + ... + 2722935.

It is an arithmetic number, because the mean of its divisors is an integer number (14001244488).

Almost surely, 2420201122304 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 420201122304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (560049779520).

420201122304 is an abundant number, since it is smaller than the sum of its proper divisors (699898436736).

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

420201122304 is a wasteful number, since it uses less digits than its factorization.

420201122304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160701 (or 160685 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 420201122304 its reverse (403221102024), we get a palindrome (823422224328).

The spelling of 420201122304 in words is "four hundred twenty billion, two hundred one million, one hundred twenty-two thousand, three hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 512 768 1536 1721 3442 5163 6884 10326 13768 20652 27536 41304 55072 82608 110144 158959 165216 220288 317918 330432 440576 476877 635836 660864 881152 953754 1271672 1321728 1907508 2543344 2643456 3815016 5086688 7630032 10173376 15260064 20346752 30520128 40693504 61040256 81387008 122080512 244161024 273568439 547136878 820705317 1094273756 1641410634 2188547512 3282821268 4377095024 6565642536 8754190048 13131285072 17508380096 26262570144 35016760192 52525140288 70033520384 105050280576 140067040768 210100561152 420201122304