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13103210144112 = 24311109492266571
BaseRepresentation
bin1011111010101101010000…
…1011111010000101110000
31201101122200020121002101120
42332223110023322011300
53204140333244102422
643511310500102240
72521450522346544
oct276532413720560
951348606532346
1013103210144112
1141a2049587660
1215775a6694980
137408205789ca
143342ad551a24
1517aca062545c
hexbead42fa170

13103210144112 has 80 divisors (see below), whose sum is σ = 36930617539200. Its totient is φ = 3970305337600.

The previous prime is 13103210144111. The next prime is 13103210144113. The reversal of 13103210144112 is 21144101230131.

It is an interprime number because it is at equal distance from previous prime (13103210144111) and next prime (13103210144113).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13103210144111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4647787 + ... + 6914357.

It is an arithmetic number, because the mean of its divisors is an integer number (461632719240).

Almost surely, 213103210144112 is an apocalyptic number.

13103210144112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13103210144112 is an abundant number, since it is smaller than the sum of its proper divisors (23827407395088).

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

13103210144112 is a wasteful number, since it uses less digits than its factorization.

13103210144112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2277542 (or 2277536 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

Adding to 13103210144112 its reverse (21144101230131), we get a palindrome (34247311374243).

The spelling of 13103210144112 in words is "thirteen trillion, one hundred three billion, two hundred ten million, one hundred forty-four thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 176 264 528 10949 21898 32847 43796 65694 87592 120439 131388 175184 240878 262776 361317 481756 525552 722634 963512 1445268 1927024 2266571 2890536 4533142 5781072 6799713 9066284 13599426 18132568 24932281 27198852 36265136 49864562 54397704 74796843 99729124 108795408 149593686 199458248 299187372 398916496 598374744 1196749488 24816685879 49633371758 74450057637 99266743516 148900115274 198533487032 272983544669 297800230548 397066974064 545967089338 595600461096 818950634007 1091934178676 1191200922192 1637901268014 2183868357352 3275802536028 4367736714704 6551605072056 13103210144112