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110504143000 = 23534110725189
BaseRepresentation
bin110011011101010001…
…1110110100010011000
3101120020020001002120001
41212322203312202120
53302303030034000
6122433115142344
710661252501056
oct1467243664230
9346206032501
10110504143000
1142956787219
12194bb7449b4
13a560aa2984
1454c41371d6
152d1b4cd46a
hex19ba8f6898

110504143000 has 128 divisors (see below), whose sum is σ = 267372705600. Its totient is φ = 42718848000.

The previous prime is 110504142977. The next prime is 110504143031. The reversal of 110504143000 is 341405011.

It is a super-2 number, since 2×1105041430002 (a number of 23 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 (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4374406 + ... + 4399594.

Almost surely, 2110504143000 is an apocalyptic number.

110504143000 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 110504143000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133686352800).

110504143000 is an abundant number, since it is smaller than the sum of its proper divisors (156868562600).

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

110504143000 is a wasteful number, since it uses less digits than its factorization.

110504143000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25358 (or 25344 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 19.

Adding to 110504143000 its reverse (341405011), we get a palindrome (110845548011).

The spelling of 110504143000 in words is "one hundred ten billion, five hundred four million, one hundred forty-three thousand".

Divisors: 1 2 4 5 8 10 20 25 40 41 50 82 100 107 125 164 200 205 214 250 328 410 428 500 535 820 856 1000 1025 1070 1640 2050 2140 2675 4100 4280 4387 5125 5350 8200 8774 10250 10700 13375 17548 20500 21400 21935 25189 26750 35096 41000 43870 50378 53500 87740 100756 107000 109675 125945 175480 201512 219350 251890 438700 503780 548375 629725 877400 1007560 1032749 1096750 1259450 2065498 2193500 2518900 2695223 3148625 4130996 4387000 5037800 5163745 5390446 6297250 8261992 10327490 10780892 12594500 13476115 20654980 21561784 25189000 25818725 26952230 41309960 51637450 53904460 67380575 103274900 107808920 110504143 129093625 134761150 206549800 221008286 258187250 269522300 336902875 442016572 516374500 539044600 552520715 673805750 884033144 1032749000 1105041430 1347611500 2210082860 2695223000 2762603575 4420165720 5525207150 11050414300 13813017875 22100828600 27626035750 55252071500 110504143000