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110110201020 = 2232515714332719
BaseRepresentation
bin110011010001100010…
…1000101010010111100
3101112012202202202202100
41212203011011102330
53301001202413040
6122330043425100
710645430160141
oct1464305052274
9345182682670
10110110201020
1142774379836
121940b825190
13a4ca2a2901
145487aac3c8
152ce6b14b30
hex19a31454bc

110110201020 has 144 divisors (see below), whose sum is σ = 336486608640. Its totient is φ = 29144613888.

The previous prime is 110110201001. The next prime is 110110201037. The reversal of 110110201020 is 20102011011.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 110110200993 and 110110201011.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 40495221 + ... + 40497939.

It is an arithmetic number, because the mean of its divisors is an integer number (2336712560).

Almost surely, 2110110201020 is an apocalyptic number.

110110201020 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 110110201020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168243304320).

110110201020 is an abundant number, since it is smaller than the sum of its proper divisors (226376407620).

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

110110201020 is a wasteful number, since it uses less digits than its factorization.

110110201020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4324 (or 4319 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 110110201020 its reverse (20102011011), we get a palindrome (130212212031).

The spelling of 110110201020 in words is "one hundred ten billion, one hundred ten million, two hundred one thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 157 180 314 471 628 785 942 1413 1433 1570 1884 2355 2719 2826 2866 3140 4299 4710 5438 5652 5732 7065 7165 8157 8598 9420 10876 12897 13595 14130 14330 16314 17196 21495 24471 25794 27190 28260 28660 32628 40785 42990 48942 51588 54380 64485 81570 85980 97884 122355 128970 163140 224981 244710 257940 426883 449962 489420 674943 853766 899924 1124905 1280649 1349886 1707532 2024829 2134415 2249810 2561298 2699772 3374715 3841947 3896327 4049658 4268830 4499620 5122596 6403245 6749430 7683894 7792654 8099316 8537660 10124145 11688981 12806490 13498860 15367788 15585308 19209735 19481635 20248290 23377962 25612980 35066943 38419470 38963270 40496580 46755924 58444905 70133886 76838940 77926540 116889810 140267772 175334715 233779620 350669430 611723339 701338860 1223446678 1835170017 2446893356 3058616695 3670340034 5505510051 6117233390 7340680068 9175850085 11011020102 12234466780 18351700170 22022040204 27527550255 36703400340 55055100510 110110201020