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110455241000 = 23531320834079
BaseRepresentation
bin110011011011110100…
…1010011100100101000
3101120002211000121121212
41212313221103210220
53302203020203000
6122424211052252
710660120025456
oct1466751234450
9346084017555
10110455241000
1142931116445
12194a72a1088
13a553910290
1454bb8479d6
152d1706dc35
hex19b7a53928

110455241000 has 128 divisors (see below), whose sum is σ = 278549107200. Its totient is φ = 40753900800.

The previous prime is 110455240999. The next prime is 110455241033. The reversal of 110455241000 is 142554011.

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, 27076961 + ... + 27081039.

It is an arithmetic number, because the mean of its divisors is an integer number (2176164900).

Almost surely, 2110455241000 is an apocalyptic number.

110455241000 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 110455241000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139274553600).

110455241000 is an abundant number, since it is smaller than the sum of its proper divisors (168093866200).

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

110455241000 is a wasteful number, since it uses less digits than its factorization.

110455241000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6196 (or 6182 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 23.

Adding to 110455241000 its reverse (142554011), we get a palindrome (110597795011).

The spelling of 110455241000 in words is "one hundred ten billion, four hundred fifty-five million, two hundred forty-one thousand".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 50 52 65 100 104 125 130 200 250 260 325 500 520 650 1000 1300 1625 2083 2600 3250 4079 4166 6500 8158 8332 10415 13000 16316 16664 20395 20830 27079 32632 40790 41660 52075 53027 54158 81580 83320 101975 104150 106054 108316 135395 163160 203950 208300 212108 216632 260375 265135 270790 407900 416600 424216 509875 520750 530270 541580 676975 815800 1019750 1041500 1060540 1083160 1325675 1353950 2039500 2083000 2121080 2651350 2707900 3384875 4079000 5302700 5415800 6628375 6769750 8496557 10605400 13256750 13539500 16993114 26513500 27079000 33986228 42482785 53027000 67972456 84965570 110455241 169931140 212413925 220910482 339862280 424827850 441820964 552276205 849655700 883641928 1062069625 1104552410 1699311400 2124139250 2209104820 2761381025 4248278500 4418209640 5522762050 8496557000 11045524100 13806905125 22091048200 27613810250 55227620500 110455241000