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10003213220 = 22571113499661
BaseRepresentation
bin10010101000011110…
…01110101110100100
3221211010210212211112
421110033032232210
5130441310310340
64332335324152
7502613623640
oct112417165644
927733725745
1010003213220
11427360a170
121b32080658
13c35573ba0
146ac75bc20
153d82e5065
hex2543ceba4

10003213220 has 96 divisors (see below), whose sum is σ = 28204920576. Its totient is φ = 2878041600.

The previous prime is 10003213201. The next prime is 10003213229. The reversal of 10003213220 is 2231230001.

It is a happy number.

10003213220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 10003213195 and 10003213204.

It is not an unprimeable number, because it can be changed into a prime (10003213229) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 229811 + ... + 269850.

It is an arithmetic number, because the mean of its divisors is an integer number (293801256).

Almost surely, 210003213220 is an apocalyptic number.

10003213220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10003213220 is an abundant number, since it is smaller than the sum of its proper divisors (18201707356).

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

10003213220 is a wasteful number, since it uses less digits than its factorization.

10003213220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 499701 (or 499699 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

Adding to 10003213220 its reverse (2231230001), we get a palindrome (12234443221).

The spelling of 10003213220 in words is "ten billion, three million, two hundred thirteen thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 11 13 14 20 22 26 28 35 44 52 55 65 70 77 91 110 130 140 143 154 182 220 260 286 308 364 385 455 572 715 770 910 1001 1430 1540 1820 2002 2860 4004 5005 10010 20020 499661 999322 1998644 2498305 3497627 4996610 5496271 6495593 6995254 9993220 10992542 12991186 13990508 17488135 21985084 25982372 27481355 32477965 34976270 38473897 45469151 54962710 64955930 69952540 71451523 76947794 90938302 109925420 129911860 142903046 153895588 181876604 192369485 227345755 285806092 357257615 384738970 454691510 500160661 714515230 769477940 909383020 1000321322 1429030460 2000642644 2500803305 5001606610 10003213220