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200210221000112 = 241715135543137147
BaseRepresentation
bin101101100001011100010011…
…000110100110010110110000
3222020212220120112112100100112
4231201130103012212112300
5202220221013034000422
61545451150015040452
760112465626323621
oct5541342306462660
9866786515470315
10200210221000112
115887a750315184
121a5560b9b10128
138793986cc61cb
143762325355a48
151822dd99c7ee2
hexb617131a65b0

200210221000112 has 80 divisors (see below), whose sum is σ = 413460062433792. Its totient is φ = 93589308134400.

The previous prime is 200210221000093. The next prime is 200210221000117. The reversal of 200210221000112 is 211000122012002.

It is not an unprimeable number, because it can be changed into a prime (200210221000117) 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, 1459753523 + ... + 1459890669.

Almost surely, 2200210221000112 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 200210221000112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206730031216896).

200210221000112 is an abundant number, since it is smaller than the sum of its proper divisors (213249841433680).

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

200210221000112 is a wasteful number, since it uses less digits than its factorization.

200210221000112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172866 (or 172860 counting only the distinct ones).

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

Adding to 200210221000112 its reverse (211000122012002), we get a palindrome (411210343012114).

The spelling of 200210221000112 in words is "two hundred trillion, two hundred ten billion, two hundred twenty-one million, one hundred twelve", and thus it is an aban number.

Divisors: 1 2 4 8 16 17 34 68 136 151 272 302 604 1208 2416 2567 5134 10268 20536 35543 41072 71086 137147 142172 274294 284344 548588 568688 604231 1097176 1208462 2194352 2331499 2416924 4662998 4833848 5366993 9325996 9667696 10733986 18651992 20709197 21467972 37303984 41418394 42935944 82836788 85871888 91238881 165673576 182477762 331347152 352056349 364955524 704112698 729911048 1408225396 1459822096 2816450792 4874615821 5632901584 9749231642 19498463284 38996926568 77993853136 82868468957 165736937914 331473875828 662947751656 736066988971 1325895503312 1472133977942 2944267955884 5888535911768 11777071823536 12513138812507 25026277625014 50052555250028 100105110500056 200210221000112