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30303131232 = 25311202914143
BaseRepresentation
bin11100001110001101…
…010001011001100000
32220012212200120020210
4130032031101121200
5444030100144412
621530541134120
72121640236243
oct341615213140
986185616223
1030303131232
1111940367010
125a5855a340
132b1c11b1aa
1416767d525a
15bc555583c
hex70e351660

30303131232 has 96 divisors (see below), whose sum is σ = 86826055680. Its totient is φ = 9177592320.

The previous prime is 30303131219. The next prime is 30303131233. The reversal of 30303131232 is 23213130303.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 30303131199 and 30303131208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30303131233) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2135553 + ... + 2149695.

It is an arithmetic number, because the mean of its divisors is an integer number (904438080).

Almost surely, 230303131232 is an apocalyptic number.

30303131232 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30303131232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43413027840).

30303131232 is an abundant number, since it is smaller than the sum of its proper divisors (56522924448).

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

30303131232 is a wasteful number, since it uses less digits than its factorization.

30303131232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16196 (or 16188 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 21.

Adding to 30303131232 its reverse (23213130303), we get a palindrome (53516261535).

The spelling of 30303131232 in words is "thirty billion, three hundred three million, one hundred thirty-one thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 264 352 528 1056 2029 4058 6087 8116 12174 14143 16232 22319 24348 28286 32464 42429 44638 48696 56572 64928 66957 84858 89276 97392 113144 133914 155573 169716 178552 194784 226288 267828 311146 339432 357104 452576 466719 535656 622292 678864 714208 933438 1071312 1244584 1357728 1866876 2142624 2489168 3733752 4978336 7467504 14935008 28696147 57392294 86088441 114784588 172176882 229569176 315657617 344353764 459138352 631315234 688707528 918276704 946972851 1262630468 1377415056 1893945702 2525260936 2754830112 3787891404 5050521872 7575782808 10101043744 15151565616 30303131232