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300233402106 = 231124311385109
BaseRepresentation
bin1000101111001110100…
…11100010011011111010
31001200221210010002020120
410113213103202123322
514404334222331411
6345531511434110
730456030545061
oct4274723423372
91050853102216
10300233402106
11106367a23800
124a22b685936
13224092ac571
141076213b1d8
157c22e15106
hex45e74e26fa

300233402106 has 96 divisors (see below), whose sum is σ = 681351168960. Its totient is φ = 88076567040.

The previous prime is 300233402099. The next prime is 300233402143. The reversal of 300233402106 is 601204332003.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3485080 + ... + 3570188.

It is an arithmetic number, because the mean of its divisors is an integer number (7097408010).

Almost surely, 2300233402106 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 300233402106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (340675584480).

300233402106 is an abundant number, since it is smaller than the sum of its proper divisors (381117766854).

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

300233402106 is a wasteful number, since it uses less digits than its factorization.

300233402106 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85292 (or 85281 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 300233402106 its reverse (601204332003), we get a palindrome (901437734109).

The spelling of 300233402106 in words is "three hundred billion, two hundred thirty-three million, four hundred two thousand, one hundred six".

Divisors: 1 2 3 6 11 22 33 43 66 86 113 121 129 226 242 258 339 363 473 678 726 946 1243 1419 2486 2838 3729 4859 5203 7458 9718 10406 13673 14577 15609 27346 29154 31218 41019 53449 82038 85109 106898 160347 170218 255327 320694 510654 587939 936199 1175878 1763817 1872398 2808597 3527634 3659687 5617194 7319374 9617317 10298189 10979061 19234634 20596378 21958122 28851951 30894567 40256557 57703902 61789134 80513114 105790487 120769671 211580974 241539342 317371461 413544631 442822127 634742922 827089262 885644254 1163695357 1240633893 1328466381 2327390714 2481267786 2656932762 3491086071 4548990941 6982172142 9097981882 13646972823 27293945646 50038900351 100077800702 150116701053 300233402106