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334101103120 = 24573383149371
BaseRepresentation
bin1001101110010011111…
…10100100001000010000
31011221101002011112222101
410313021332210020100
520433214340244440
6413252310050144
733065223343141
oct4671176441020
91157332145871
10334101103120
111197673a9854
1254901949954
1325675a54035
14122560dbac8
158a5637e69a
hex4dc9fa4210

334101103120 has 80 divisors (see below), whose sum is σ = 789487183872. Its totient is φ = 131464719360.

The previous prime is 334101103117. The next prime is 334101103151. The reversal of 334101103120 is 21301101433.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×3341011031202 (a number of 24 digits) contains 22 as substring.

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 15 ways as a sum of consecutive naturals, for example, 2162035 + ... + 2311405.

Almost surely, 2334101103120 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 334101103120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (394743591936).

334101103120 is an abundant number, since it is smaller than the sum of its proper divisors (455386080752).

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

334101103120 is a wasteful number, since it uses less digits than its factorization.

334101103120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149840 (or 149834 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 334101103120 its reverse (21301101433), we get a palindrome (355402204553).

The spelling of 334101103120 in words is "three hundred thirty-four billion, one hundred one million, one hundred three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 73 80 146 292 365 383 584 730 766 1168 1460 1532 1915 2920 3064 3830 5840 6128 7660 15320 27959 30640 55918 111836 139795 149371 223672 279590 298742 447344 559180 597484 746855 1118360 1194968 1493710 2236720 2389936 2987420 5974840 10904083 11949680 21808166 43616332 54520415 57209093 87232664 109040830 114418186 174465328 218081660 228836372 286045465 436163320 457672744 572090930 872326640 915345488 1144181860 2288363720 4176263789 4576727440 8352527578 16705055156 20881318945 33410110312 41762637890 66820220624 83525275780 167050551560 334101103120