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10220012341 = 7111011314133
BaseRepresentation
bin10011000010010100…
…10000001100110101
3222101020202102022121
421201022100030311
5131412310343331
64410042155541
7511155446230
oct114112201465
928336672277
1010220012341
114374a265a0
121b927b2bb1
13c6b4606a6
146cd474417
153ec36bc11
hex261290335

10220012341 has 16 divisors (see below), whose sum is σ = 12868000128. Its totient is φ = 7884792000.

The previous prime is 10220012321. The next prime is 10220012371. The reversal of 10220012341 is 14321002201.

It is a cyclic number.

It is not a de Polignac number, because 10220012341 - 213 = 10220004149 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10220012321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 649290 + ... + 664843.

It is an arithmetic number, because the mean of its divisors is an integer number (804250008).

Almost surely, 210220012341 is an apocalyptic number.

10220012341 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10220012341 is a deficient number, since it is larger than the sum of its proper divisors (2647987787).

10220012341 is a wasteful number, since it uses less digits than its factorization.

10220012341 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1314252.

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 10220012341 its reverse (14321002201), we get a palindrome (24541014542).

The spelling of 10220012341 in words is "ten billion, two hundred twenty million, twelve thousand, three hundred forty-one".

Divisors: 1 7 11 77 101 707 1111 7777 1314133 9198931 14455463 101188241 132727433 929092031 1460001763 10220012341