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10221320004 = 2237373288713
BaseRepresentation
bin10011000010011110…
…01111011101000100
3222101100012212002120
421201033033131010
5131413124220004
64410130205540
7511202533530
oct114117173504
928340185076
1010221320004
11437573a005
121b931238b0
13c6b7ca95c
146cd6d4bc0
153ec5293d9
hex2613cf744

10221320004 has 48 divisors (see below), whose sum is σ = 27993533568. Its totient is φ = 2841447168.

The previous prime is 10221319973. The next prime is 10221320027. The reversal of 10221320004 is 40002312201.

10221320004 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1641249 + ... + 1647464.

It is an arithmetic number, because the mean of its divisors is an integer number (583198616).

Almost surely, 210221320004 is an apocalyptic number.

10221320004 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

10221320004 is an abundant number, since it is smaller than the sum of its proper divisors (17772213564).

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

10221320004 is a wasteful number, since it uses less digits than its factorization.

10221320004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3288764 (or 3288762 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 10221320004 its reverse (40002312201), we get a palindrome (50223632205).

The spelling of 10221320004 in words is "ten billion, two hundred twenty-one million, three hundred twenty thousand, four".

Divisors: 1 2 3 4 6 7 12 14 21 28 37 42 74 84 111 148 222 259 444 518 777 1036 1554 3108 3288713 6577426 9866139 13154852 19732278 23020991 39464556 46041982 69062973 92083964 121682381 138125946 243364762 276251892 365047143 486729524 730094286 851776667 1460188572 1703553334 2555330001 3407106668 5110660002 10221320004