Search a number
-
+
301102101030 = 235291495933917
BaseRepresentation
bin1000110000110110001…
…01010111001000100110
31001210012022201120010210
410120123011113020212
514413124114213110
6350154023000250
730516406426023
oct4303305271046
91053168646123
10301102101030
111067733170a5
124a432599086
13225172669b3
141080566a54a
157c7430c520
hex461b157226

301102101030 has 128 divisors (see below), whose sum is σ = 754042608000. Its totient is φ = 76855353344.

The previous prime is 301102101011. The next prime is 301102101103. The reversal of 301102101030 is 30101201103.

It is a junction number, because it is equal to n+sod(n) for n = 301102100997 and 301102101015.

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 63 ways as a sum of consecutive naturals, for example, 76868632 + ... + 76872548.

It is an arithmetic number, because the mean of its divisors is an integer number (5890957875).

Almost surely, 2301102101030 is an apocalyptic number.

301102101030 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 301102101030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (377021304000).

301102101030 is an abundant number, since it is smaller than the sum of its proper divisors (452940506970).

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

301102101030 is a wasteful number, since it uses less digits than its factorization.

301102101030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4698.

The product of its (nonzero) digits is 18, while the sum is 12.

Adding to 301102101030 its reverse (30101201103), we get a palindrome (331203302133).

The spelling of 301102101030 in words is "three hundred one billion, one hundred two million, one hundred one thousand, thirty".

Divisors: 1 2 3 5 6 10 15 29 30 58 87 145 149 174 290 298 435 447 593 745 870 894 1186 1490 1779 2235 2965 3558 3917 4321 4470 5930 7834 8642 8895 11751 12963 17197 17790 19585 21605 23502 25926 34394 39170 43210 51591 58755 64815 85985 88357 103182 113593 117510 129630 171970 176714 227186 257955 265071 340779 441785 515910 530142 567965 583633 681558 883570 1135930 1167266 1325355 1703895 1750899 2322781 2562353 2650710 2918165 3407790 3501798 4645562 5124706 5836330 6968343 7687059 8754495 11613905 12811765 13936686 15374118 16925357 17508990 23227810 25623530 33850714 34841715 38435295 50776071 67360649 69683430 76870590 84626785 101552142 134721298 169253570 202081947 253880355 336803245 346094369 404163894 507760710 673606490 692188738 1010409735 1038283107 1730471845 2020819470 2076566214 3460943690 5191415535 10036736701 10382831070 20073473402 30110210103 50183683505 60220420206 100367367010 150551050515 301102101030