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112210010210120 = 23541449152384717
BaseRepresentation
bin11001100000110111101101…
…110011000111111101001000
3112201022011122112122200100112
4121200313231303013331020
5104201422100103210440
61034352322252253452
732430622441406654
oct3140675563077510
9481264575580315
10112210010210120
1132831aa85001a9
1210703075471288
134a7c4879a8544
141d9cdca131a64
15ce8c8e88c965
hex660dedcc7f48

112210010210120 has 64 divisors (see below), whose sum is σ = 259206405318000. Its totient is φ = 43691745771520.

The previous prime is 112210010210117. The next prime is 112210010210167. The reversal of 112210010210120 is 21012010012211.

It can be written as a sum of positive squares in 8 ways, for example, as 15470077972804 + 96739932237316 = 3933202^2 + 9835646^2 .

It is a junction number, because it is equal to n+sod(n) for n = 112210010210095 and 112210010210104.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 75455999 + ... + 76928718.

Almost surely, 2112210010210120 is an apocalyptic number.

112210010210120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

112210010210120 is an abundant number, since it is smaller than the sum of its proper divisors (146996395107880).

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

112210010210120 is a wasteful number, since it uses less digits than its factorization.

112210010210120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152385218 (or 152385214 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 112210010210120 its reverse (21012010012211), we get a palindrome (133222020222331).

The spelling of 112210010210120 in words is "one hundred twelve trillion, two hundred ten billion, ten million, two hundred ten thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 41 82 164 205 328 410 449 820 898 1640 1796 2245 3592 4490 8980 17960 18409 36818 73636 92045 147272 184090 368180 736360 152384717 304769434 609538868 761923585 1219077736 1523847170 3047694340 6095388680 6247773397 12495546794 24991093588 31238866985 49982187176 62477733970 68420737933 124955467940 136841475866 249910935880 273682951732 342103689665 547365903464 684207379330 1368414758660 2736829517320 2805250255253 5610500510506 11221001021012 14026251276265 22442002042024 28052502552530 56105005105060 112210010210120