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110002221020120 = 235111343574413853
BaseRepresentation
bin11001000000101111100011…
…010011101111001111011000
3112102111002221220210021221112
4121000233203103233033120
5103404234022040120440
61025542153411555452
732112253404054062
oct3100574323571730
9472432856707845
10110002221020120
1132060753017510
12104072012bbb88
13494c21b482650
141d241c8cd0732
15cab6246d2965
hex640be34ef3d8

110002221020120 has 128 divisors (see below), whose sum is σ = 290841905067840. Its totient is φ = 36915339479040.

The previous prime is 110002221020119. The next prime is 110002221020123. The reversal of 110002221020120 is 21020122200011.

It is a junction number, because it is equal to n+sod(n) for n = 110002221020095 and 110002221020104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110002221020123) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22715114 + ... + 27128966.

Almost surely, 2110002221020120 is an apocalyptic number.

110002221020120 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 110002221020120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145420952533920).

110002221020120 is an abundant number, since it is smaller than the sum of its proper divisors (180839684047720).

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

110002221020120 is a wasteful number, since it uses less digits than its factorization.

110002221020120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4418245 (or 4418241 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 110002221020120 its reverse (21020122200011), we get a palindrome (131022343220131).

The spelling of 110002221020120 in words is "one hundred ten trillion, two billion, two hundred twenty-one million, twenty thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 13 20 22 26 40 44 52 55 65 88 104 110 130 143 220 260 286 440 520 572 715 1144 1430 2860 4357 5720 8714 17428 21785 34856 43570 47927 56641 87140 95854 113282 174280 191708 226564 239635 283205 383416 453128 479270 566410 623051 958540 1132820 1246102 1917080 2265640 2492204 3115255 4413853 4984408 6230510 8827706 12461020 17655412 22069265 24922040 35310824 44138530 48552383 57380089 88277060 97104766 114760178 176554120 194209532 229520356 242761915 286900445 388419064 459040712 485523830 573800890 631180979 971047660 1147601780 1262361958 1942095320 2295203560 2524723916 3155904895 5049447832 6311809790 12623619580 19231157521 25247239160 38462315042 76924630084 96155787605 153849260168 192311575210 211542732731 250005047773 384623150420 423085465462 500010095546 769246300840 846170930924 1000020191092 1057713663655 1250025238865 1692341861848 2000040382184 2115427327310 2500050477730 2750055525503 4230854654620 5000100955460 5500111051006 8461709309240 10000201910920 11000222102012 13750277627515 22000444204024 27500555255030 55001110510060 110002221020120