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112201201221930 = 232537311108341011
BaseRepresentation
bin11001100000101111100000…
…101111100000000100101010
3112201021022220121222201021200
4121200233200233200010222
5104201301030003100210
61034344304213145030
732430161235266442
oct3140574057400452
9481238817881250
10112201201221930
1132829298012a77
121070141732b176
134a7b6b29863b2
141d9c7d223d122
15ce89263420c0
hex660be0be012a

112201201221930 has 96 divisors (see below), whose sum is σ = 300570902955648. Its totient is φ = 29018056118400.

The previous prime is 112201201221929. The next prime is 112201201222013. The reversal of 112201201221930 is 39122102102211.

112201201221930 is a `hidden beast` number, since 1 + 1 + 2 + 201 + 201 + 221 + 9 + 30 = 666.

It is a super-2 number, since 2×1122012012219302 (a number of 29 digits) contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 112201201221894 and 112201201221903.

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, 53134876 + ... + 55206135.

It is an arithmetic number, because the mean of its divisors is an integer number (3130946905788).

Almost surely, 2112201201221930 is an apocalyptic number.

112201201221930 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

112201201221930 is an abundant number, since it is smaller than the sum of its proper divisors (188369701733718).

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

112201201221930 is a wasteful number, since it uses less digits than its factorization.

112201201221930 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108341372 (or 108341369 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The spelling of 112201201221930 in words is "one hundred twelve trillion, two hundred one billion, two hundred one million, two hundred twenty-one thousand, nine hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 37 45 74 90 111 185 222 311 333 370 555 622 666 933 1110 1555 1665 1866 2799 3110 3330 4665 5598 9330 11507 13995 23014 27990 34521 57535 69042 103563 115070 172605 207126 345210 517815 1035630 108341011 216682022 325023033 541705055 650046066 975069099 1083410110 1625115165 1950138198 3250230330 4008617407 4875345495 8017234814 9750690990 12025852221 20043087035 24051704442 33694054421 36077556663 40086174070 60129261105 67388108842 72155113326 101082163263 120258522210 168470272105 180387783315 202164326526 303246489789 336940544210 360775566630 505410816315 606492979578 1010821632630 1246680013577 1516232448945 2493360027154 3032464897890 3740040040731 6233400067885 7480080081462 11220120122193 12466800135770 18700200203655 22440240244386 37400400407310 56100600610965 112201201221930