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13142243031300 = 22335210494640131
BaseRepresentation
bin1011111100111110101010…
…1110100011100100000100
31201112101102111212012112000
42333033222232203210010
53210310303204000200
643541244010225300
72524332014411505
oct277175256434404
951471374765460
1013142243031300
114207659634509
12158307a725230
13744401167266
143361334d2bac
1517bcd7275300
hexbf3eaba3904

13142243031300 has 144 divisors (see below), whose sum is σ = 42290163048000. Its totient is φ = 3501256492800.

The previous prime is 13142243031299. The next prime is 13142243031317. The reversal of 13142243031300 is 313034224131.

It is a happy number.

13142243031300 is a `hidden beast` number, since 1 + 3 + 1 + 4 + 224 + 303 + 130 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 512235 + ... + 5152365.

Almost surely, 213142243031300 is an apocalyptic number.

13142243031300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13142243031300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21145081524000).

13142243031300 is an abundant number, since it is smaller than the sum of its proper divisors (29147920016700).

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

13142243031300 is a wasteful number, since it uses less digits than its factorization.

13142243031300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4641203 (or 4641190 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 13142243031300 its reverse (313034224131), we get a palindrome (13455277255431).

The spelling of 13142243031300 in words is "thirteen trillion, one hundred forty-two billion, two hundred forty-three million, thirty-one thousand, three hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 27 30 36 45 50 54 60 75 90 100 108 135 150 180 225 270 300 450 540 675 900 1049 1350 2098 2700 3147 4196 5245 6294 9441 10490 12588 15735 18882 20980 26225 28323 31470 37764 47205 52450 56646 62940 78675 94410 104900 113292 141615 157350 188820 236025 283230 314700 472050 566460 708075 944100 1416150 2832300 4640131 9280262 13920393 18560524 23200655 27840786 41761179 46401310 55681572 69601965 83522358 92802620 116003275 125283537 139203930 167044716 208805895 232006550 250567074 278407860 348009825 417611790 464013100 501134148 626417685 696019650 835223580 1044029475 1252835370 1392039300 2088058950 2505670740 3132088425 4176117900 4867497419 6264176850 9734994838 12528353700 14602492257 19469989676 24337487095 29204984514 43807476771 48674974190 58409969028 73012461285 87614953542 97349948380 121687435475 131422430313 146024922570 175229907084 219037383855 243374870950 262844860626 292049845140 365062306425 438074767710 486749741900 525689721252 657112151565 730124612850 876149535420 1095186919275 1314224303130 1460249225700 2190373838550 2628448606260 3285560757825 4380747677100 6571121515650 13142243031300