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12110443020 = 22325137172893
BaseRepresentation
bin10110100011101011…
…01011001000001100
31011020222221020200200
423101311223020030
5144300233134040
65321412453500
7606052032024
oct132165531014
934228836620
1012110443020
1151550360a5
12241b91a290
1311accc3720
1482c56aa84
154ad2d9630
hex2d1d6b20c

12110443020 has 144 divisors (see below), whose sum is σ = 40118524992. Its totient is φ = 2939005440.

The previous prime is 12110442997. The next prime is 12110443031. The reversal of 12110443020 is 2034401121.

12110443020 is a `hidden beast` number, since 1 + 211 + 0 + 4 + 430 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 12110442984 and 12110443002.

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, 129694 + ... + 202586.

It is an arithmetic number, because the mean of its divisors is an integer number (278600868).

Almost surely, 212110443020 is an apocalyptic number.

12110443020 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 12110443020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20059262496).

12110443020 is an abundant number, since it is smaller than the sum of its proper divisors (28008081972).

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

12110443020 is a wasteful number, since it uses less digits than its factorization.

12110443020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72992 (or 72987 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 12110443020 its reverse (2034401121), we get a palindrome (14144844141).

The spelling of 12110443020 in words is "twelve billion, one hundred ten million, four hundred forty-three thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 60 65 71 78 90 117 130 142 156 180 195 213 234 260 284 355 390 426 468 585 639 710 780 852 923 1065 1170 1278 1420 1846 2130 2340 2556 2769 3195 3692 4260 4615 5538 6390 8307 9230 11076 12780 13845 16614 18460 27690 33228 41535 55380 72893 83070 145786 166140 218679 291572 364465 437358 656037 728930 874716 947609 1093395 1312074 1457860 1895218 2186790 2624148 2842827 3280185 3790436 4373580 4738045 5175403 5685654 6560370 8528481 9476090 10350806 11371308 13120740 14214135 15526209 17056962 18952180 20701612 25877015 28428270 31052418 34113924 42642405 46578627 51754030 56856540 62104836 67280239 77631045 85284810 93157254 103508060 134560478 155262090 170569620 186314508 201840717 232893135 269120956 310524180 336401195 403681434 465786270 605522151 672802390 807362868 931572540 1009203585 1211044302 1345604780 2018407170 2422088604 3027610755 4036814340 6055221510 12110443020