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301434103212 = 22311171171114713
BaseRepresentation
bin1000110001011101101…
…11110110010110101100
31001211001110110000111220
410120232313312112230
514414314112300322
6350251002543340
730530550413304
oct4305667662654
91054043400456
10301434103212
11106923769270
124a505807b50
132256ac8aba8
14108377b0604
157c9353d55c
hex462edf65ac

301434103212 has 96 divisors (see below), whose sum is σ = 813122198784. Its totient is φ = 85896345600.

The previous prime is 301434103211. The next prime is 301434103241. The reversal of 301434103212 is 212301434103.

It is a happy number.

It is an alternating number because its digits alternate between odd and even.

It is not an unprimeable number, because it can be changed into a prime (301434103211) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2570368 + ... + 2685080.

It is an arithmetic number, because the mean of its divisors is an integer number (8470022904).

Almost surely, 2301434103212 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 301434103212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (406561099392).

301434103212 is an abundant number, since it is smaller than the sum of its proper divisors (511688095572).

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

301434103212 is a wasteful number, since it uses less digits than its factorization.

301434103212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115919 (or 115917 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 301434103212 its reverse (212301434103), we get a palindrome (513735537315).

The spelling of 301434103212 in words is "three hundred one billion, four hundred thirty-four million, one hundred three thousand, two hundred twelve".

Divisors: 1 2 3 4 6 11 12 17 22 33 34 44 51 66 68 102 132 187 204 374 561 748 1122 1171 2244 2342 3513 4684 7026 12881 14052 19907 25762 38643 39814 51524 59721 77286 79628 114713 119442 154572 218977 229426 238884 344139 437954 458852 656931 688278 875908 1261843 1313862 1376556 1950121 2523686 2627724 3785529 3900242 5047372 5850363 7571058 7800484 11700726 15142116 21451331 23401452 42902662 64353993 85805324 128707986 134328923 257415972 268657846 402986769 537315692 805973538 1477618153 1611947076 2283591691 2955236306 4432854459 4567183382 5910472612 6850775073 8865708918 9134366764 13701550146 17731417836 25119508601 27403100292 50239017202 75358525803 100478034404 150717051606 301434103212