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10220003211 = 3113741204151
BaseRepresentation
bin10011000010010100…
…01101111110001011
3222101020201221210110
421201022031332023
5131412310100321
64410042045403
7511155410505
oct114112157613
928336657713
1010220003211
114374a1a750
121b927a9863
13c6b4594a2
146cd470d75
153ec369176
hex26128df8b

10220003211 has 32 divisors (see below), whose sum is σ = 15639676416. Its totient is φ = 5879520000.

The previous prime is 10220003207. The next prime is 10220003231. The reversal of 10220003211 is 11230002201.

10220003211 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10220003211 - 22 = 10220003207 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10220003231) 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, 52015 + ... + 152136.

It is an arithmetic number, because the mean of its divisors is an integer number (488739888).

Almost surely, 210220003211 is an apocalyptic number.

10220003211 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10220003211 is a deficient number, since it is larger than the sum of its proper divisors (5419673205).

10220003211 is a wasteful number, since it uses less digits than its factorization.

10220003211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204243.

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 10220003211 its reverse (11230002201), we get a palindrome (21450005412).

The spelling of 10220003211 in words is "ten billion, two hundred twenty million, three thousand, two hundred eleven".

Divisors: 1 3 11 33 37 41 111 123 407 451 1221 1353 1517 4551 16687 50061 204151 612453 2245661 6736983 7553587 8370191 22660761 25110573 83089457 92072101 249268371 276216303 309697067 929091201 3406667737 10220003211