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1022101223 = 111337918859
BaseRepresentation
bin111100111011000…
…000011011100111
32122020021010021212
4330323000123213
54043124214343
6245231102035
734220500643
oct7473003347
92566233255
101022101223
11484a49860
1224637191b
131339a7b30
1499a61c23
155eae9c18
hex3cec06e7

1022101223 has 16 divisors (see below), whose sum is σ = 1204022400. Its totient is φ = 855398880.

The previous prime is 1022101211. The next prime is 1022101229. The reversal of 1022101223 is 3221012201.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 1022101223 - 210 = 1022100199 is a prime.

It is a super-3 number, since 3×10221012233 (a number of 28 digits) contains 333 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1022101198 and 1022101207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1022101229) 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 15 ways as a sum of consecutive naturals, for example, 44768 + ... + 63626.

It is an arithmetic number, because the mean of its divisors is an integer number (75251400).

Almost surely, 21022101223 is an apocalyptic number.

1022101223 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

1022101223 is a deficient number, since it is larger than the sum of its proper divisors (181921177).

1022101223 is a wasteful number, since it uses less digits than its factorization.

1022101223 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19262.

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 1022101223 is about 31970.3178432746. The cubic root of 1022101223 is about 1007.3134572851.

Adding to 1022101223 its reverse (3221012201), we get a palindrome (4243113424).

The spelling of 1022101223 in words is "one billion, twenty-two million, one hundred one thousand, two hundred twenty-three".

Divisors: 1 11 13 143 379 4169 4927 18859 54197 207449 245167 2696837 7147561 78623171 92918293 1022101223