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348025160120 = 235111093972307
BaseRepresentation
bin1010001000001111110…
…10101000000110111000
31020021022110201221100012
411010013322220012320
521200223420110440
6423514111001052
734100250023411
oct5040772500670
91207273657305
10348025160120
11124662147980
1257548b09188
1326a846c3311
1412bb7486808
1590bd9b0e65
hex5107ea81b8

348025160120 has 64 divisors (see below), whose sum is σ = 854333481600. Its totient is φ = 126541284480.

The previous prime is 348025160101. The next prime is 348025160137. The reversal of 348025160120 is 21061520843.

It is a super-2 number, since 2×3480251601202 (a number of 24 digits) contains 22 as substring.

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 15 ways as a sum of consecutive naturals, for example, 4777007 + ... + 4849313.

It is an arithmetic number, because the mean of its divisors is an integer number (13348960650).

Almost surely, 2348025160120 is an apocalyptic number.

It is an amenable number.

348025160120 is an abundant number, since it is smaller than the sum of its proper divisors (506308321480).

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

348025160120 is a wasteful number, since it uses less digits than its factorization.

348025160120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83268 (or 83264 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 32.

Adding to 348025160120 its reverse (21061520843), we get a palindrome (369086680963).

The spelling of 348025160120 in words is "three hundred forty-eight billion, twenty-five million, one hundred sixty thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 440 10939 21878 43756 54695 72307 87512 109390 120329 144614 218780 240658 289228 361535 437560 481316 578456 601645 723070 795377 962632 1203290 1446140 1590754 2406580 2892280 3181508 3976885 4813160 6363016 7953770 15907540 31815080 790966273 1581932546 3163865092 3954831365 6327730184 7909662730 8700629003 15819325460 17401258006 31638650920 34802516012 43503145015 69605032024 87006290030 174012580060 348025160120