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110044342404300 = 223522915199832211
BaseRepresentation
bin11001000001010110110001…
…111100000100010011001100
3112102122010200102121022110110
4121001112301330010103030
5103410431303123414200
61030013401211240020
732115304250654313
oct3101266174042314
9472563612538413
10110044342404300
11320775a8489917
12104133b7749010
1349531a1b9c205
141d2626311327a
15cac78c557b50
hex6415b1f044cc

110044342404300 has 144 divisors (see below), whose sum is σ = 329396167296000. Its totient is φ = 28331357779200.

The previous prime is 110044342404239. The next prime is 110044342404301. The reversal of 110044342404300 is 3404243440011.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (110044342404301) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 131815195 + ... + 132647405.

It is an arithmetic number, because the mean of its divisors is an integer number (2287473384000).

Almost surely, 2110044342404300 is an apocalyptic number.

110044342404300 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 110044342404300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164698083648000).

110044342404300 is an abundant number, since it is smaller than the sum of its proper divisors (219351824891700).

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

110044342404300 is a wasteful number, since it uses less digits than its factorization.

110044342404300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 847456 (or 847449 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

Adding to 110044342404300 its reverse (3404243440011), we get a palindrome (113448585844311).

The spelling of 110044342404300 in words is "one hundred ten trillion, forty-four billion, three hundred forty-two million, four hundred four thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 29 30 50 58 60 75 87 100 116 145 150 174 290 300 348 435 580 725 870 1450 1740 2175 2900 4350 8700 15199 30398 45597 60796 75995 91194 151990 182388 227985 303980 379975 440771 455970 759950 832211 881542 911940 1139925 1322313 1519900 1664422 1763084 2203855 2279850 2496633 2644626 3328844 4161055 4407710 4559700 4993266 5289252 6611565 8322110 8815420 9986532 11019275 12483165 13223130 16644220 20805275 22038550 24134119 24966330 26446260 33057825 41610550 44077100 48268238 49932660 62415825 66115650 72402357 83221100 96536476 120670595 124831650 132231300 144804714 241341190 249663300 289609428 362011785 482682380 603352975 724023570 1206705950 1448047140 1810058925 2413411900 3620117850 7240235700 12648774989 25297549978 37946324967 50595099956 63243874945 75892649934 126487749890 151785299868 189731624835 252975499780 316219374725 366814474681 379463249670 632438749450 733628949362 758926499340 948658124175 1100443424043 1264877498900 1467257898724 1834072373405 1897316248350 2200886848086 3668144746810 3794632496700 4401773696172 5502217120215 7336289493620 9170361867025 11004434240430 18340723734050 22008868480860 27511085601075 36681447468100 55022171202150 110044342404300