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30301310310 = 2354779272029
BaseRepresentation
bin11100001110000110…
…010100110101100110
32220012202021001102020
4130032012110311212
5444024113412220
621530434124010
72121615613365
oct341606246546
986182231366
1030301310310
111193a332a17
125a57a20606
132b1b93141b
14167647d7dc
15bc52e6040
hex70e194d66

30301310310 has 64 divisors (see below), whose sum is σ = 75210854400. Its totient is φ = 7808291712.

The previous prime is 30301310287. The next prime is 30301310311. The reversal of 30301310310 is 1301310303.

It is a super-2 number, since 2×303013103102 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 30301310310.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30301310311) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 24625 + ... + 247404.

It is an arithmetic number, because the mean of its divisors is an integer number (1175169600).

Almost surely, 230301310310 is an apocalyptic number.

30301310310 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 30301310310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37605427200).

30301310310 is an abundant number, since it is smaller than the sum of its proper divisors (44909544090).

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

30301310310 is a wasteful number, since it uses less digits than its factorization.

30301310310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 272165.

The product of its (nonzero) digits is 81, while the sum is 15.

Adding to 30301310310 its reverse (1301310303), we get a palindrome (31602620613).

The spelling of 30301310310 in words is "thirty billion, three hundred one million, three hundred ten thousand, three hundred ten".

Divisors: 1 2 3 5 6 10 15 30 47 79 94 141 158 235 237 282 395 470 474 705 790 1185 1410 2370 3713 7426 11139 18565 22278 37130 55695 111390 272029 544058 816087 1360145 1632174 2720290 4080435 8160870 12785363 21490291 25570726 38356089 42980582 63926815 64470873 76712178 107451455 127853630 128941746 191780445 214902910 322354365 383560890 644708730 1010043677 2020087354 3030131031 5050218385 6060262062 10100436770 15150655155 30301310310