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10110342420 = 22325346116229
BaseRepresentation
bin10010110101001111…
…11001010100010100
3222002121101121110200
421122213321110110
5131201221424140
64351123420500
7505354330653
oct113247712424
928077347420
1010110342420
11431902a9a2
121b61b24730
13c51812649
146bca8719a
153e2907030
hex25a9f9514

10110342420 has 72 divisors (see below), whose sum is σ = 30678789960. Its totient is φ = 2695146240.

The previous prime is 10110342383. The next prime is 10110342457. The reversal of 10110342420 is 2424301101.

10110342420 is a `hidden beast` number, since 101 + 103 + 42 + 420 = 666.

10110342420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10110342383) and next prime (10110342457).

It can be written as a sum of positive squares in 4 ways, for example, as 2102956164 + 8007386256 = 45858^2 + 89484^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 10110342393 and 10110342402.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 614866 + ... + 631094.

It is an arithmetic number, because the mean of its divisors is an integer number (426094305).

Almost surely, 210110342420 is an apocalyptic number.

10110342420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10110342420 is an abundant number, since it is smaller than the sum of its proper divisors (20568447540).

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

10110342420 is a wasteful number, since it uses less digits than its factorization.

10110342420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19705 (or 19700 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 10110342420 its reverse (2424301101), we get a palindrome (12534643521).

The spelling of 10110342420 in words is "ten billion, one hundred ten million, three hundred forty-two thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 3461 6922 10383 13844 16229 17305 20766 31149 32458 34610 41532 48687 51915 62298 64916 69220 81145 97374 103830 124596 146061 155745 162290 194748 207660 243435 292122 311490 324580 486870 584244 622980 730305 973740 1460610 2921220 56168569 112337138 168505707 224674276 280842845 337011414 505517121 561685690 674022828 842528535 1011034242 1123371380 1685057070 2022068484 2527585605 3370114140 5055171210 10110342420