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10301103423 = 33131012771049
BaseRepresentation
bin10011001011111111…
…00101110100111111
3222120220100021101000
421211333211310333
5132044040302143
64422100221343
7513161635332
oct114577456477
928526307330
1010301103423
114406782516
121bb599a853
13c821b3590
146da142619
15404538bd3
hex265fe5d3f

10301103423 has 64 divisors (see below), whose sum is σ = 16673328000. Its totient is φ = 6247756800.

The previous prime is 10301103401. The next prime is 10301103487. The reversal of 10301103423 is 32430110301.

10301103423 is a `hidden beast` number, since 10 + 301 + 10 + 342 + 3 = 666.

It is not a de Polignac number, because 10301103423 - 220 = 10300054847 is a prime.

It is a super-2 number, since 2×103011034232 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10301103396 and 10301103405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10301103823) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9819403 + ... + 9820451.

It is an arithmetic number, because the mean of its divisors is an integer number (260520750).

Almost surely, 210301103423 is an apocalyptic number.

10301103423 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

10301103423 is a deficient number, since it is larger than the sum of its proper divisors (6372224577).

10301103423 is a wasteful number, since it uses less digits than its factorization.

10301103423 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1449 (or 1443 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 10301103423 its reverse (32430110301), we get a palindrome (42731213724).

The spelling of 10301103423 in words is "ten billion, three hundred one million, one hundred three thousand, four hundred twenty-three".

Divisors: 1 3 9 13 27 39 101 117 277 303 351 831 909 1049 1313 2493 2727 3147 3601 3939 7479 9441 10803 11817 13637 27977 28323 32409 35451 40911 83931 97227 105949 122733 251793 290573 317847 363701 368199 755379 871719 953541 1091103 1377337 2615157 2860623 3273309 3777449 4132011 7845471 9819927 11332347 12396033 29347873 33997041 37188099 88043619 101991123 264130857 381522349 792392571 1144567047 3433701141 10301103423