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110444123430 = 23352340214423
BaseRepresentation
bin110011011011011111…
…0111001010100100110
3101120002001002210012000
41212312332321110212
53302142143422210
6122423132510130
710656623362644
oct1466676712446
9346061083160
10110444123430
1142925912673
12194a361b346
13a551519b34
1454ba192194
152d160c4ac0
hex19b6fb9526

110444123430 has 128 divisors (see below), whose sum is σ = 307468707840. Its totient is φ = 28157880960.

The previous prime is 110444123393. The next prime is 110444123437. The reversal of 110444123430 is 34321444011.

110444123430 is a `hidden beast` number, since 1 + 104 + 4 + 4 + 123 + 430 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 110444123394 and 110444123403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110444123437) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 24968199 + ... + 24972621.

It is an arithmetic number, because the mean of its divisors is an integer number (2402099280).

Almost surely, 2110444123430 is an apocalyptic number.

110444123430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 110444123430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153734353920).

110444123430 is an abundant number, since it is smaller than the sum of its proper divisors (197024584410).

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

110444123430 is a wasteful number, since it uses less digits than its factorization.

110444123430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8483 (or 8477 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 110444123430 its reverse (34321444011), we get a palindrome (144765567441).

The spelling of 110444123430 in words is "one hundred ten billion, four hundred forty-four million, one hundred twenty-three thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 23 27 30 45 46 54 69 90 115 135 138 207 230 270 345 414 621 690 1035 1242 2070 3105 4021 4423 6210 8042 8846 12063 13269 20105 22115 24126 26538 36189 39807 40210 44230 60315 66345 72378 79614 92483 101729 108567 119421 120630 132690 180945 184966 199035 203458 217134 238842 277449 305187 361890 398070 462415 508645 542835 554898 597105 610374 832347 915561 924830 1017290 1085670 1194210 1387245 1525935 1664694 1831122 2497041 2746683 2774490 3051870 4161735 4577805 4994082 5493366 8323470 9155610 12485205 13733415 17784883 24970410 27466830 35569766 53354649 88924415 106709298 160063947 177848830 266773245 320127894 409052309 480191841 533546490 800319735 818104618 960383682 1227156927 1600639470 2045261545 2400959205 2454313854 3681470781 4090523090 4801918410 6135784635 7362941562 11044412343 12271569270 18407353905 22088824686 36814707810 55222061715 110444123430