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110101112020020 = 223511224162927147
BaseRepresentation
bin11001000010001011101001…
…101010111101110000110100
3112102211120012210122121001110
4121002023221222331300310
5103412344034134120040
61030055430321155020
732122354123513122
oct3102135152756064
9472746183577043
10110101112020020
113209968a450400
12104223bb78ba70
13495864b2ac9c4
141d28cca94c912
15cadeb13a9980
hex6422e9abdc34

110101112020020 has 144 divisors (see below), whose sum is σ = 340262695168704. Its totient is φ = 26580426470400.

The previous prime is 110101112019961. The next prime is 110101112020021. The reversal of 110101112020020 is 20020211101011.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 110101112019978 and 110101112020005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110101112020021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 29713914 + ... + 33213233.

It is an arithmetic number, because the mean of its divisors is an integer number (2362935383116).

Almost surely, 2110101112020020 is an apocalyptic number.

110101112020020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

110101112020020 is an abundant number, since it is smaller than the sum of its proper divisors (230161583148684).

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

110101112020020 is a wasteful number, since it uses less digits than its factorization.

110101112020020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62927422 (or 62927409 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 110101112020020 its reverse (20020211101011), we get a palindrome (130121323121031).

The spelling of 110101112020020 in words is "one hundred ten trillion, one hundred one billion, one hundred twelve million, twenty thousand, twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 121 132 165 220 241 242 330 363 482 484 605 660 723 726 964 1205 1210 1446 1452 1815 2410 2420 2651 2892 3615 3630 4820 5302 7230 7260 7953 10604 13255 14460 15906 26510 29161 31812 39765 53020 58322 79530 87483 116644 145805 159060 174966 291610 349932 437415 583220 874830 1749660 62927147 125854294 188781441 251708588 314635735 377562882 629271470 692198617 755125764 943907205 1258542940 1384397234 1887814410 2076595851 2768794468 3460993085 3775628820 4153191702 6921986170 7614184787 8306383404 10382979255 13843972340 15165442427 15228369574 20765958510 22842554361 30330884854 30456739148 38070923935 41531917020 45496327281 45685108722 60661769708 75827212135 76141847870 90992654562 91370217444 114212771805 151654424270 152283695740 166819866697 181985309124 227481636405 228425543610 303308848540 333639733394 454963272810 456851087220 500459600091 667279466788 834099333485 909926545620 1000919200182 1668198666970 1835018533667 2001838400364 2502298000455 3336397333940 3670037067334 5004596000910 5505055601001 7340074134668 9175092668335 10009192001820 11010111202002 18350185336670 22020222404004 27525278005005 36700370673340 55050556010010 110101112020020