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220200012000112 = 24319723399195599
BaseRepresentation
bin110010000100010101001111…
…011111101010101101110000
31001212122220201102221220210011
4302010111033133222231300
5212330224111033000422
62100154253342544304
764244632400313244
oct6204251737525560
91055586642856704
10220200012000112
1164187334198431
12208442a2598094
1395b3a06203b31
143c53a477a8424
151a6cd9346a077
hexc8454f7eab70

220200012000112 has 80 divisors (see below), whose sum is σ = 444961520640000. Its totient is φ = 105444910172160.

The previous prime is 220200012000043. The next prime is 220200012000113. The reversal of 220200012000112 is 211000210002022.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 220200012000092 and 220200012000101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220200012000113) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1125674889 + ... + 1125870487.

It is an arithmetic number, because the mean of its divisors is an integer number (5562019008000).

Almost surely, 2220200012000112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 220200012000112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222480760320000).

220200012000112 is an abundant number, since it is smaller than the sum of its proper divisors (224761508639888).

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

220200012000112 is a wasteful number, since it uses less digits than its factorization.

220200012000112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219134 (or 219128 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 220200012000112 its reverse (211000210002022), we get a palindrome (431200222002134).

The spelling of 220200012000112 in words is "two hundred twenty trillion, two hundred billion, twelve million, one hundred twelve", and thus it is an aban number.

Divisors: 1 2 4 8 16 31 62 97 124 194 248 388 496 776 1552 3007 6014 12028 23399 24056 46798 48112 93596 187192 195599 374384 391198 725369 782396 1450738 1564792 2269703 2901476 3129584 4539406 5802952 6063569 9078812 11605904 12127138 18157624 18973103 24254276 36315248 37946206 48508552 70360793 75892412 97017104 140721586 151784824 281443172 303569648 562886344 588166193 1125772688 1176332386 2352664772 4576821001 4705329544 9153642002 9410659088 18307284004 36614568008 73229136016 141881451031 283762902062 443951637097 567525804124 887903274194 1135051608248 1775806548388 2270103216496 3551613096776 7103226193552 13762500750007 27525001500014 55050003000028 110100006000056 220200012000112