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334300104102120 = 233513214294938527
BaseRepresentation
bin100110000000010110100111…
…0111101000001000011101000
31121211122210000001011000021120
41030000231032331001003220
5322304133103122231440
63142555203033535240
7130262246136023562
oct11400551675010350
91554583001130246
10334300104102120
1197577972641952
12315b1724574520
131146c497bba080
145c7a2d6002332
15289ada5eb6dd0
hex1300b4ef410e8

334300104102120 has 64 divisors (see below), whose sum is σ = 1080046490181120. Its totient is φ = 82289256393984.

The previous prime is 334300104102091. The next prime is 334300104102137. The reversal of 334300104102120 is 21201401003433.

It is a happy number.

It is a super-2 number, since 2×3343001041021202 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 107147467704 + ... + 107147470823.

It is an arithmetic number, because the mean of its divisors is an integer number (16875726409080).

Almost surely, 2334300104102120 is an apocalyptic number.

334300104102120 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

334300104102120 is an abundant number, since it is smaller than the sum of its proper divisors (745746386079000).

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

334300104102120 is a wasteful number, since it uses less digits than its factorization.

334300104102120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214294938554 (or 214294938550 counting only the distinct ones).

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

Adding to 334300104102120 its reverse (21201401003433), we get a palindrome (355501505105553).

The spelling of 334300104102120 in words is "three hundred thirty-four trillion, three hundred billion, one hundred four million, one hundred two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 30 39 40 52 60 65 78 104 120 130 156 195 260 312 390 520 780 1560 214294938527 428589877054 642884815581 857179754108 1071474692635 1285769631162 1714359508216 2142949385270 2571539262324 2785834200851 3214424077905 4285898770540 5143078524648 5571668401702 6428848155810 8357502602553 8571797541080 11143336803404 12857696311620 13929171004255 16715005205106 22286673606808 25715392623240 27858342008510 33430010410212 41787513012765 55716684017020 66860020820424 83575026025530 111433368034040 167150052051060 334300104102120